A local bank is running the following advertisement in the newspaper: "For just $1,000 we will pay you $100 forever!" The fine print in the ad says that for a $1,000 deposit, the bank will pay $100 every year in perpetuity, starting one year after the deposit is made.
The interest rate or rate of return offered by the bank in the advertisement, we can calculate it using the formula for the present value of a perpetuity:
PV = Payment / Interest Rate
Given that,
Payment = $100 per year
Initial deposit (PV) = $1,000
PV = $100 / Interest Rate
Interest Rate = $100 / PV
Interest Rate = $100 / $1,000
Interest Rate = 0.1 or 10%
Therefore, the bank is advertising an interest rate or rate of return of 10% for the investment.
To know more about advertisement here,
https://brainly.com/question/32251098
#SPJ4
"5. GC manufactures a range of bicycles and holds an inventory of
certain bicycle parts. Part number 1258 costs P8.00 per unit. GC
expects to use 8,000 units of part 1258 per annum. Ordering costs
have"
GC manufactures bicycles and maintains an inventory of part number 1258, which costs P8.00 per unit. The company anticipates an annual usage of 8,000 units for this part. GC incurs ordering costs and holding costs for its inventory.
GC incurs ordering costs each time it places an order for part number 1258. However, the ordering cost is not provided in the given information. The holding costs refer to the expenses associated with holding and managing inventory, such as storage costs, insurance, and handling fees.
To determine the optimal order quantity and minimize the total cost of inventory, GC needs to consider both the ordering costs and holding costs. By using inventory management techniques like economic order quantity (EOQ), the company can calculate the order quantity that minimizes the total cost.
The EOQ formula takes into account the annual usage (8,000 units), ordering costs, holding costs, and the cost per unit (P8.00) to calculate the optimal order quantity. By finding the right balance between ordering costs and holding costs, GC can optimize its inventory management and reduce costs while ensuring an adequate supply of part number 1258 for its bicycle production.
Learn more about economic order quantity (EOQ) here: brainly.com/question/33088288
#SPJ11
At the beginning of the year, Mirmax set its predetermined overhead rate for movies produced during the year by using the follow estimates. overhead costs, $2,475,000, and direct labor costs, $450,000. At year-end, the company's actual overhead costs for th year are $2,464,100 and actual direct labor costs for the year are $450,000. 1. Determine the predetermined overhead rate using estimated direct labor costs. 2. Enter the actual overhead costs incurred and the amount of overhead cost applied to movies during the year using the predetermined overhead rate. Determine whether overhead is over-or underapplied (and the amount) for the year. 3. Prepare the entry to close any over-or underapplied overhead to Cost of Goods Sold.
1. Predetermined overhead rate: Predetermined overhead rate is calculated by dividing the estimated overhead costs by the estimated direct labor costs. Hence, the predetermined overhead rate can be calculated as follows;
Predetermined overhead rate = Estimated overhead costs / Estimated direct labor costs
= $2,475,000 / $450,000
= $5.50 per direct labor dollar
2. Overhead cost applied and Overapplied or Underapplied Overhead:
Overhead cost applied during the year can be calculated by using the predetermined overhead rate and actual direct labor costs as follows;
Overhead cost applied = Predetermined overhead rate x Actual direct labor costs
= $5.50 x $450,000
= $2,475,000
During the year, the company's actual overhead costs are $2,464,100. Hence, overhead is underapplied. The amount of underapplied overhead can be calculated as follows;
Underapplied overhead = Actual overhead costs - Overhead cost applied
= $2,464,100 - $2,475,000
= $10,900
3. Prepare the entry to close underapplied overhead to Cost of Goods Sold:
Underapplied overhead is closed to Cost of Goods Sold by debiting the Cost of Goods Sold and crediting the Manufacturing Overhead account.
The journal entry to close underapplied overhead to Cost of Goods Sold is as follows;
DateAccountTitleDebitCreditClosing EntriesDecember 31Cost of Goods Sold$10,900Manufacturing Overhead$10,900(To close underapplied overhead to Cost of Goods Sold)
Hence, the journal entry to close underapplied overhead to Cost of Goods Sold is Cost of Goods Sold debited for $10,900 and Manufacturing Overhead credited for $10,900.
To know more about Predetermined overhead rate
https://brainly.com/question/26372929
#SPJ11
Using the work completed in Excel for compound interest, what is the value of a $10,000 investment made in 2012 in the year 2061 that was invested at a 4% continuously compounded interest rate? You may have to drag down the values in columns A and B to higher values for t to find the solution. a) $10,007.10 b) $73,890.56 c) $70,993.27 d) $114, 730.41 e) $1,408.58
The value of the $10,000 investment made in 2012 in the year 2061, with a continuously compounded interest rate of 4%, is approximately $70,993.27.
The correct answer is c) $70,993.27.
To calculate the value of a $10,000 investment made in 2012 in the year 2061 with a continuously compounded interest rate of 4%, you can use the formula for continuous compound interest:
A = [tex]P \times e^{(rt)}[/tex]
Where:
A = the final amount
P = the principal amount (initial investment)
e = the base of the natural logarithm (approximately 2.71828)
r = the interest rate (in decimal form)
t = the time period (in years)
In this case, P = $10,000,
r = 0.04 (4% as a decimal), and
t = 2061 - 2012
= 49 years.
Substituting these values into the formula, we have:
A = $10,000 × [tex]e^{(0.04 \times 49)}[/tex]
Using a scientific calculator or spreadsheet software, we can evaluate this expression to find the final amount:
A ≈ $70,993.27
Therefore, the value of the $10,000 investment made in 2012 in the year 2061, with a continuously compounded interest rate of 4%, is approximately $70,993.27.
The correct answer is c) $70,993.27.
To learn more about compound interest, visit:
https://brainly.com/question/31793584
#SPJ11
a licensed real estate salesperson can receive compensation for real estate activities from: select one: a. the principal, be it the buyer or seller. b. the listing broker or a cooperating broker. c. the principal or the listing broker. d. the employing broker only.
A licensed real estate salesperson can receive compensation for real estate activities from the following sources:
b. the listing broker or a cooperating broker.
When a real estate salesperson helps with a transaction, they can receive compensation from the listing broker, who represents the seller, or from a cooperating broker, who represents the buyer.
Let's say a salesperson helps sell a house listed by Broker A. In this case, the salesperson can receive compensation from Broker A. However, if the salesperson assists a buyer in purchasing a property listed by Broker B, they can receive compensation from Broker B as the cooperating broker.
It's important to note that the salesperson can receive compensation from either the listing broker or a cooperating broker, but not from the principal (the buyer or seller) directly. The compensation is typically negotiated between the brokers involved in the transaction.
To summarize, a licensed real estate salesperson can receive compensation for real estate activities from the listing broker or a cooperating broker, but not directly from the principal (buyer or seller).
To know more about salesperson , visit:
https://brainly.com/question/32308819
#SPJ11
Evaluating the alignment of HR practices with HR deliverables and the alignment among the firm's HR practices are part of evaluating external alignment uniqueness internal alignment company performance A Question 39 (2 points) Retake question A form of flexibility related to the ease of adjusting the number of individuals working for a company is known as numerical flexibility reshoring flexibility offshoring flexibility functional flexibility A Question 40 (2 points) Retake question Companies realize a competitive advantage when they implement a that has value for customers and that rival firms are unable to duplicate. price model strategy compensation system recruiting standard Synergies between HR systems are neutral negative both positive and negative positive Which of the following is not an approach to analyzing job information? Competency incidents Position analysis questionnaire Task inventory Functional job analysis
1. The correct option is A) Numerical flexibility.
2. The correct option is B) Strategy.
3. The correct option is A) Competency incidents.
Numerical flexibility refers to the ability of a company to easily adjust the number of individuals working for the organization. It allows the company to increase or decrease its workforce as needed based on business demands. This form of flexibility is related to managing staffing levels efficiently.
Companies realize a competitive advantage when they implement a well-defined and effective strategy. A strategy refers to a plan of action designed to achieve specific goals or objectives. When a company implements a strategy that provides value to customers and cannot be easily replicated by rival firms, it creates a unique position in the market, leading to a competitive advantage.
Competency incidents are not an approach to analyzing job information. Competency incidents refer to specific situations or events that demonstrate an individual's competencies or skills in a particular job. On the other hand, the other options, such as the position analysis questionnaire, task inventory, and functional job analysis, are commonly used approaches to analyze job information and gather data about job requirements, tasks, and responsibilities.
To learn more about Competency incidents visit:
https://brainly.com/question/33637896
#SPJ11
= 0.25 = 2. The demand curve and supply curve for one-year discount bonds with a face value of $900 are P+ 200, B³: P 2Q 100. represented by the following equations Bd: Q What is the expected equilibrium price and quantity of discount bonds in this market? What is the [3 points] yield to maturity in this market?
The expected equilibrium price of discount bonds in this market is $450, and the expected equilibrium quantity is 250 bonds. The yield to maturity in this market is 8%.
To find the equilibrium price and quantity of discount bonds, we need to set the demand curve equal to the supply curve and solve for price (P) and quantity (Q).
Demand curve: P + 200 = B^3
Supply curve: P = 2Q + 100
By substituting the supply curve equation into the demand curve equation, we can eliminate P and solve for Q:
P + 200 = (2Q + 100)^3
2Q + 100 + 200 = (2Q + 100)^3
300 = (2Q + 100)^3
Taking the cube root of both sides:
(2Q + 100) = ∛300
2Q + 100 = 6.7082
2Q = 6.7082 - 100
2Q = -93.2918
Q = -46.6459
Since the quantity of bonds cannot be negative, we discard the negative solution. Therefore, Q ≈ 46.646.
Substituting the value of Q back into the supply curve equation:
P = 2(46.646) + 100
P = 93.292 + 100
P ≈ 193.292
The expected equilibrium price is approximately $193.292, and the expected equilibrium quantity is approximately 46.646 bonds.
To calculate the yield to maturity, we need to find the discount rate that equates the present value of the bond's future cash flows to its current market price. Unfortunately, the information provided does not allow us to determine the specific cash flows or market price required for this calculation.
Learn more about yield to maturity here: brainly.com/question/26376004
#SPJ11
Canova Corporation adopted the dollar-value LIFO retail method on January 1, 2024. On that date, the cost of the inventory on hand was $16,000 and its retail value was $20,000. Information for 2024 and 2025 is as follows:
Date Ending Inventory at Retail Retail Price Index Cost-to-Retail Percentage
12/31/2024 $ 26,000 1.25 83%
12/31/2025 $ 35,000 1.40 85%
Required:
What is the cost-to-retail percentage for the inventory on hand at 1/1/2024?
Calculate the inventory value at the end of 2024 and 2025 using the dollar-value LIFO retail method.
The inventory value at the end of 2024 is $21,580, and the inventory value at the end of 2025 is $29,750, both calculated using the dollar-value LIFO retail method.
To calculate the cost-to-retail percentage for the inventory on hand on January 1, 2024, we need to divide the cost of the inventory by its retail value.
Given that the cost of the inventory on hand was $16,000 and its retail value was $20,000, the cost-to-retail percentage can be calculated as follows:
Cost-to-Retail Percentage = (Cost of Inventory / Retail Value of Inventory) * 100
Cost-to-Retail Percentage = ($16,000 / $20,000) * 100
Cost-to-Retail Percentage = 80%
Therefore, the cost-to-retail percentage for the inventory on hand on January 1, 2024, is 80%.
Now let's calculate the inventory value at the end of 2024 and 2025 using the dollar-value LIFO retail method.
To calculate the inventory value, we need to multiply the ending inventory at retail by the cost-to-retail percentage for each respective year.
For the year ending December 31, 2024:
Inventory Value at Retail = $26,000
Cost-to-Retail Percentage = 83%
Inventory Value = Inventory Value at Retail * Cost-to-Retail Percentage
Inventory Value = $26,000 * 83%
Inventory Value = $21,580
For the year ending December 31, 2025:
Inventory Value at Retail = $35,000
Cost-to-Retail Percentage = 85%
Inventory Value = Inventory Value at Retail * Cost-to-Retail Percentage
Inventory Value = $35,000 * 85%
Inventory Value = $29,750
To learn more about inventory value
https://brainly.com/question/30481665
#SPJ8
what are the limitations of disparate impact statistics as indicators of potential staffing discrimination? in other words, when we, as hr professionals, review disparate impact stats, why might they not be fully reliable?
Disparate impact statistics can be useful tools for HR professionals to identify potential staffing discrimination. However, there are limitations to consider when relying solely on these statistics.
Firstly, disparate impact statistics do not provide insights into the underlying reasons for the observed disparities. They do not reveal whether the disparities are due to intentional discrimination or other factors such as differences in qualifications or preferences of the applicants. Therefore, it is important to conduct further investigations and gather additional evidence before drawing conclusions.
Secondly, disparate impact statistics may not account for relevant factors that could influence the hiring decisions. For example, if an employer has a legitimate business justification for a certain requirement that disproportionately affects a certain group, the disparity in outcomes may not necessarily indicate discrimination.
Additionally, disparate impact statistics may not capture the full picture of discrimination. Some forms of discrimination may not result in statistically significant disparities but can still be harmful and unjust. Therefore, it is important to consider qualitative data and individual experiences in addition to the statistical analysis.
In conclusion, while disparate impact statistics can be a valuable starting point for identifying potential staffing discrimination, they should not be solely relied upon. HR professionals should use them as a tool in conjunction with other forms of evidence and consider the limitations mentioned above.
To know more about staffing discrimination visit:
https://brainly.com/question/33808612
#SPJ11
Which of the following alternatives represents the correct amount that must be disclosed as increase (decrease) in prepaid expenses in the cash generated from operations section of the statement of cash flows of Moletji Limited for the year ended 31 December 2020?
a. 1 800
b. (10 800)
c. (1 800)
d. 10 800
The correct amount that must be disclosed as an increase (decrease) in prepaid expenses in the cash generated from operations section of the statement of cash flows for Moletji Limited for the year ended 31 December 2020 is option c. (1 800).
Prepaid expenses represent payments made in advance for goods or services that will be received in the future. In the statement of cash flows, an increase in prepaid expenses is considered a use of cash, while a decrease is considered a source of cash.
Since the question asks for the correct amount to be disclosed, we need to consider the sign convention. An increase in prepaid expenses implies that cash was used, so the amount should be shown as a negative value in the cash generated from operations section. Therefore, the correct answer is option c. (1 800), as the parentheses indicate a negative value.
Learn more about prepaid expenses here: brainly.com/question/28424313
#SPJ11
Exercise 5-18 Break-Even and Target Profit Analysis; Margin of Safety; CM Ratio (LO5-1, LO5-3, LO5-5, LO5-6, LO5-7] Merdo Company distributes a single product. The company's sales and expenses for last month follow Total Sales $316,000 221,200 Per Unit 1:20 14 Variable expenses Contribution margin 94,800 $6 Fixed expenses 74,400 Net operating Income 1 20,400 Required: 1 What is the monthly break-even point in unit sales and in dollar sales? 2. Without resorting to computations, what is the total contribution margin at the break even point? 3-a. How many units would have to be sold each month to attain a target profit of $34,800? 3b. Verify your answer by preparing a contribution format income statement at the target sales level. 4. Refer to the original data. Compute the company's margin of safety in both dollar and percentage terms. 5. What is the company's CM ratio? If sales increase by $86,000 per month and there is no change in fixed expenses, by how much would you expect monthly net operating income to increase? Complete this question by entering your answers in the tabs below. Reg 1 Rea 34 Ren 2 Meg 36 Req 4 Reg 5 ps://ezto.mheducation.com/ext/map/index. ework i IOI a MEM I. 2. Without resorting to computations, what is the total contribution margin at 3-a. How many units would have to be sold each month to attain a target pro 3-b. Verify your answer by preparing a contribution format income statement 4. Refer to the original data. Compute the company's margin of safety in both 5. What is the company's CM ratio? If sales increase by $86,000 per month a would you expect monthly net operating income to increase? Complete this question by entering your answers in the tabs below. Req 1 Req 2 Req 3A Req 3B Req 4 Req What is the monthly break-even point in unit sales and in dollar sales? Break-even point in unit sales units Break-even point in dollar sales < Rec 1 Req 2 > 5 Complete this question by entering your answers in the tabs below. Req 1 Req 2 Req 3A Req 3B. Req 4 Req 5 Without resorting to computations, what is the total contribution margin at the break-even point? Total contribution margin < Req 1 Req 3A > ok t ences Complete this question by entering your answers in the tabs below. Req 1 Reg 2 Req 3A Req 38 Req 4 Req 5 How many units would have to be sold each month to attain a target profit of $34,8007 Units sales needed to attain target profit < Req 2 Req 3B > 04:27:45 eBook Print References Mc Graw Mill Complete this question by entering your answers in the tabs below. Req 1 Req 2 Req 3A Req 38 Req 4 Req 5 Verify your answer by preparing a contribution format income statement at the target sales level. Menlo Company Contribution Income Statement Total Per Unit Req 4 > < Req 3A < Prev 5 of 5 Next > 4:27:37 sok ences Complete this question by entering your answers in the tabs below. Req 1 Req 2 Rea 3A Reg 38 Req 4 Req 5 Refer to the original data. Compute the company's margin of safety in both dollar and percentage terms. (Round your percentage answer to 2 decimal places (1.e. 0.1234 should be entered as 12 34).) Dollars Percentage Margin of safety < Req 38 Req 5 > moints 04:27:30 eBook Print References would you expect monthly net operaung income to increaser Complete this question by entering your answers in the tabs below. Req 1 Req 2 Reg 3A Reg 38 Reg 4 Req 5 What is the company's CM ratio? If sales increase by $86,000 per month and there is no change in fixed expenses, by how much would you expect monthly net operating income to increase? CM rato De Net operating income increases by < Req 4 Ran>
Previous question
1. The monthly break-even point in unit sales and in dollar sales is: Break-even point in unit sales = (Fixed expenses) / (Contribution margin per unit) = $74,400 / $6 = 12,400 unitsBreak-even point in dollar sales = (Fixed expenses) / (CM ratio) = $74,400 / 0.375 = $198,4002.
Total contribution margin at the break-even point without resorting to computations is zero since the break-even point is where total sales equal total expenses.3a. Target profit = $34,800Contribution margin per unit = 1.20 - 0.14 = $1.06Required unit sales to attain a target profit of $34,800 = (Fixed expenses + Target profit) / (Contribution margin per unit) = ($74,400 + $34,800) / $1.06 = 98,113 units3b. Contribution margin at the target sales level = (Sales in units × Contribution margin per unit) = (98,113 × $1.06) = $104,040Target sales level = (Fixed expenses + Target profit) / (CM ratio) = ($74,400 + $34,800) / 0.375 = $277,6004.
Margin of safety = Total sales - Break-even salesMargin of safety in dollar terms = $316,000 - $198,400 = $117,600Margin of safety in percentage terms = (Margin of safety in dollars ÷ Total sales) × 100 = ($117,600 ÷ $316,000) × 100 = 37.18%5. CM ratio = Contribution margin ÷ Total sales = $94,800 ÷ $316,000 = 0.30If sales increase by $86,000 per month and there is no change in fixed expenses, the net operating income would increase by:Increase in net operating income = (Contribution margin ratio × Increase in sales) = (0.30 × $86,000) = $25,800. Answer: $25,800.
To know more about Break-even point visit
https://brainly.com/question/32246901
#SPJ11
vijay, a manager at a manufacturing facility, needs to hire three workers to work on the assembly line. the position requires employees who have finger dexterity. finger dexterity would most likely be characterized as a
Finger dexterity is the ability to perform tasks that require precise movements and control of the fingers.
In the context of hiring workers for an assembly line, finger dexterity is crucial as it enables employees to handle small components and perform intricate tasks with their hands. It involves the ability to manipulate objects, grasp, pinch, and coordinate movements accurately. Employees with good finger dexterity are likely to have nimble and agile hands, allowing them to work efficiently and effectively on the assembly line. This skill is essential in ensuring the quality of the assembly process and preventing errors or accidents. Vijay, as a manager, should prioritize candidates with demonstrated finger dexterity when hiring for these positions.
To know more about Finger dexterity visit:
https://brainly.com/question/32945726
#SPJ11
wetheros has decided to end its policy of not trading with the rest of the world. when it ends its trade restrictions, it discovers that it is importing incense, exporting steel, and neither importing nor exporting rugs. which groups in wetheros are better off as a result of the new free-trade policy?
In Wetheros, the groups that are better off as a result of the new free-trade policy are the consumers of incense and the producers of steel. With the end of trade restrictions, Wetheros is now able to import incense, which benefits the consumers by giving them access to a wider variety of incense products.
On the other hand, the producers of steel are better off because they can now export their steel to other countries, expanding their market and potentially increasing their profits.
However, the group that neither imports nor exports rugs does not experience any direct impact from the new policy.
It's important to note that the specific impacts of the policy will depend on various factors such as demand, supply, and competition in the respective markets.
to know more about free trade policy visit:
https://brainly.com/question/29446599
#SPJ11
Instant Co Manufactures an electronic cooker that retails at $180 each. The unit variable cost is $100, and the fixed costs are $53,000 per month. The firm can produce a maximum of 3000 units per month. At what percent utilization would the monthly net income be $42,000? Enter your answer as a percentage to 2 decimal places but do not include the % sign.
The given data for Instant Co is,Monthly sales price = $180 per unitUnit variable cost = $100 per unitFixed cost per month = $53,000Maximum units that can be produced = 3000 units per monthLet's use the formula for the monthly net income.
Monthly net income = (sales price per unit x quantity sold) - (unit variable cost x quantity sold) - fixed costsBy substituting the given values in the formula, we have,Monthly net income = (180x - 100x) - 53000where x is the quantity soldThus,Monthly net income = 80x - 53,000We need to find out at what percentage utilization, the monthly net income would be $42,000.Let's substitute the value in the above equation:42,000 = 80x - 53,000By solving this equation for x, we get,80x = 95,000x = 1187.5As the maximum units that can be produced are 3000 units per month.
Therefore, the percentage utilization would be:Percentage utilization = (quantity sold / maximum units that can be produced) × 100%By substituting the given values in the formula, we have,Percentage utilization = (1187.5 / 3000) × 100%≈ 39.58%Therefore, the percentage utilization at which the monthly net income would be $42,000 is 39.58%.
To know more about Instant Co visit:-
https://brainly.com/question/32132924
#SPJ11
You have been approached by a colleague Marcus who has asked you for some assistance in solving a resource scheduling problem on one of her projects. Her project is aimed a training a group of people on how to use a new system that has been implemented at your company. While there are several courses that need to be delivered to different users, there are only three trainers with relevant knowledge to deliver the training. The table below summarises some of the key information related to the project.
ID
Task
Predecessor
Duration (hours)
Trainers required
Notes
A
Orientation
None
4
3
The course introduces delegates to the system and gives them and orientation of its functions and capabilities
B
Sales 101
A
3
3
The course focuses on basic sales transactions
C
Purchasing 101
A
4
2
The course teaches buyers how to issue purchase orders to suppliers
D
Receiving 101
A
3
1
This course trains good receiving clerks on how to receive stock into the warehouse
E
Sales 102
B
4
3
This course teaches the more advance aspects of selling and customer relationship management to salespeople
F
Stock
C;D
3
1
This course is aimed at management and addresses stock adjustment and stock count procedures
G
Management 101
E;F
6
3
This course is aimed at management and teaches them and teaches them about the system management tools
2.1 Answer the following questions below
2.1.2 What is the project’s expected duration? (2 marks)
2.1.3 Identify the critical path. (2 marks)
2.1.4 Should Marcus commit to this schedule? What would happen if he did? (3 marks)
2.2 Marcus is required to address the following:
2.2.1 What options would Marcus have to shorten the duration of the project? (3 marks)
2.2.2 Identify the risks that need to be addressed. (3 marks)
2.2.3 What would recommend Marcus i does before finalising the project plan and communicating it to her stakeholders? NB: Please ensure you review the communication plan in your study material. (9 marks)
The projects expected duration is 18 hours.
To determine the project's expected duration, we need to analyze the task durations and dependencies. By summing up the durations of all the tasks along the critical path, we can identify the expected duration of the project.
In this case, the critical path refers to the sequence of tasks that must be completed in order to finish the project in the shortest possible time. The critical path is determined by identifying the tasks with no slack or float, meaning any delay in these tasks would directly impact the overall project duration.
Based on the given information, the critical path in this project is: A - B - E - G. These tasks have no slack time, and any delay in completing them will extend the project duration.
The project's expected duration is calculated by summing up the durations of the tasks along the critical path: 4 + 3 + 4 + 6 = 17 hours.
Marcus should commit to this schedule as it represents the shortest possible duration to complete the project. If he deviates from this schedule, it will result in a longer project duration, impactings timeline and potentially causing delays in training the users on the new system.
Learn more about: projects
brainly.com/question/30407333
#SPJ11
Information Technology audits are used to examine and evaluate organization systems internal control design, efficiency and effectiveness. This usually includes but not limited to development processes, security protocols, information systems usage etc. The audit examines the environment of automated information systems and how people use those systems. You are required to discuss the different types of controls that are useful to an auditor when conducting an audit in an IT environment?
When conducting an audit in an IT environment, auditors rely on various types of controls to ensure the integrity, confidentiality, and availability of information, as well as the effectiveness and efficiency of IT processes. The specific controls implemented will depend on the organization's IT environment, industry regulations, and risk management considerations.
Some of the different types of controls that are useful to an auditor in an IT environment include:
General Controls: These controls are overarching controls that establish the foundation for effective IT operations and security. They include controls such as access controls, change management controls, and disaster recovery controls. General controls help ensure the reliability and security of IT systems and the data they process.
Application Controls: These controls specifically focus on the processing of individual applications or systems. They include input controls, processing controls, and output controls. Application controls are designed to prevent errors and irregularities in the application's data processing and ensure the accuracy and completeness of the output.
Logical Access Controls: These controls regulate access to IT systems and data based on user roles and privileges. They include user authentication mechanisms (e.g., passwords, biometrics), user authorization processes, and segregation of duties. Logical access controls help prevent unauthorized access and protect sensitive information from misuse.
Physical Controls: These controls safeguard the physical components of IT systems, such as servers, network devices, and data centers. They include measures like physical access controls (e.g., locks, security guards), environmental controls (e.g., fire suppression systems, temperature controls), and equipment disposal controls. Physical controls help prevent unauthorized physical access and protect IT infrastructure from damage or theft.
Backup and Recovery Controls: These controls ensure the availability and integrity of data by implementing regular data backups and establishing procedures for data recovery in case of system failures or disasters. Backup and recovery controls include backup scheduling, off-site storage, and testing of recovery procedures.
Network and Communication Controls: These controls focus on securing the network infrastructure and communication channels. They include firewall configurations, intrusion detection and prevention systems, encryption mechanisms, and network monitoring tools. Network and communication controls help protect IT systems from unauthorized access, data interception, and other network-related threats.
Audit Trails and Logging Controls: These controls capture and record events and activities within IT systems for later review and analysis. They include audit trail mechanisms, log management systems, and real-time monitoring tools. Audit trails and logging controls enable auditors to track user actions, identify security incidents, and investigate potential breaches or irregularities.
These are just some of the types of controls that auditors consider when conducting IT audits. Auditors assess the adequacy and effectiveness of these controls to provide assurance that the organization's IT systems and processes are operating securely, efficiently, and in compliance with applicable standards and regulations.
To learn more about audit, visit:
https://brainly.com/question/30977017
#SPJ11
9. Twenty years ago, Donald Corp. issued 40-year bonds that had a coupon rate of 8 percent with the interest paid semi-annually. If these bonds are now trading with a 6 percent market required yield, at what price are these bonds now selling? The par value of the bonds is $1,000. Why is the price now different from the par value?
The current selling price of the 40-year bonds issued by Donald Corp., with a coupon rate of 8 percent and semi-annual interest payments, can be calculated based on the market required yield of 6 percent. These bonds are currently selling at a price lower than their par value of $1,000.
The price of a bond is influenced by the prevailing market interest rates. When market interest rates decrease, the price of existing bonds with higher coupon rates becomes more attractive to investors, leading to an increase in demand and a higher price. Conversely, when market interest rates rise, the price of existing bonds with lower coupon rates becomes less desirable, resulting in a decrease in demand and a lower price.
In this case, the market required yield of 6 percent is lower than the coupon rate of 8 percent on the bonds. As a result, investors expect to earn a lower yield compared to the coupon rate offered by the bonds. To adjust for this difference, the price of the bonds needs to decrease to increase the effective yield for investors.
To calculate the price of the bonds, we can use the present value formula for a bond, which considers the future cash flows (coupon payments and the final par value) discounted at the market required yield. Since the bonds have a 40-year maturity and semi-annual payments, there will be 80 coupon payments (40 years * 2 payments per year) and the final par value payment. By discounting each cash flow at the market required yield of 6 percent, we can determine the present value of the bond's cash flows, which represents the price at which the bonds are currently selling. The calculation will yield a price below the par value of $1,000, reflecting the inverse relationship between market interest rates and bond prices.
Learn more about current selling price here: brainly.com/question/13169843
#SPJ11
(Related to The Business of Life: Saving for Retirement) (Future value of an ordinary annuity) You are graduating from college at the end of this semester and after reading the The Business of Life box in this chapter, you have decided to invest $5,200 at the end of each year into a Roth IRA for the next 48 years. If you earn 7 percent compounded annually on your investment, how much will you have when you retire in 48 years? How much will you have if you wait 10 years before beginning to save and only make 38 payments into your retirement account?
If you earn 7 percent compounded annually on your investment, you will have $1,867,481.89 when you retire in 48 years.
If you wait 10 years before beginning to save and only make 38 payments into your retirement account, you will have $994,248.61.
To calculate the future value of an ordinary annuity, we can use the formula:
FV = P * ((1 + r)ⁿ - 1) / r
Where:
FV = Future value
P = Payment amount per period
r = Interest rate per period
n = Number of periods
In this case, you plan to invest $5,200 at the end of each year for 48 years, earning a 7% annual interest rate.
Using the formula, we can calculate the future value of your retirement savings:
FV = $5,200 * ((1 + 0.07)⁴⁸ - 1) / 0.07
By evaluating the expression, we find that the future value of your retirement savings, if you invest for 48 years, will be approximately $1,867,481.89.
If you wait 10 years before beginning to save and only make 38 payments into your retirement account, the calculation changes. The number of periods (n) will be 38 instead of 48.
FV = $5,200 * ((1 + 0.07)³⁸ - 1) / 0.07
By evaluating the expression, we find that the future value of your retirement savings, if you wait 10 years and make 38 payments, will be approximately $994,248.61.
Therefore, by starting early and making all 48 payments, you would have a significantly higher retirement savings amount compared to waiting 10 years and making only 38 payments. Starting early allows for more time for your investments to grow through compounding, resulting in a larger nest egg for retirement.
To learn more about investment click on,
https://brainly.com/question/32541154
#SPJ4
When the price of a good is below its equilibrium value: Multiple Choice consumers will bid the price up. excess supply will occur. it will tend to stay below the equilibrium value. suppliets will notice their inventories ore growing
When the price of a good is below its equilibrium value: excess supply will occur (option b).
When the price of a good is below its equilibrium value, excess supply will occur. This means that the quantity supplied of the good will be greater than the quantity demanded at that price.
Consumers, upon recognizing that the price is below the equilibrium value, will be incentivized to bid the price up. They will demand more of the good at the lower price, leading to an increase in the quantity demanded.
At the same time, suppliers will notice that their inventories are growing because the quantity supplied exceeds the quantity demanded at the current price. This signals to suppliers that they need to adjust their prices in order to achieve equilibrium in the market.
The process of bidding the price up and suppliers adjusting their prices will continue until the price reaches its equilibrium value, where the quantity demanded equals the quantity supplied. At equilibrium, there is no excess supply or demand in the market.
To know more about equilibrium value, refer here:
https://brainly.com/question/31952917
#SPJ4
Complete Question:
When the price of a good is below its equilibrium value:
Multiple Choice
A) Consumers will bid the price up.
B) Excess supply will occur.
C) It will tend to stay below the equilibrium value.
D) Suppliers will notice their inventories are growing.
True or false Interpersonal workplace skills deal with your ability to get along with other people.
The given statement "Interpersonal workplace skills deal with your ability to get along with other people" is True because Interpersonal skills, also known as soft skills, people skills, or emotional intelligence, refer to the abilities that individuals possess to communicate effectively with other people and develop and maintain relationships.
Interpersonal workplace skills are critical in the workplace as it helps people in the organization interact with each other positively and enhances teamwork in the workplace. Individuals who possess strong interpersonal skills can work together effectively and efficiently, which leads to increased productivity in the organization. Some of the key interpersonal skills that people must have to thrive in a work environment include active listening, effective communication, conflict resolution, collaboration, time management, and empathy. Active listening is a vital interpersonal skill that individuals must have to thrive in the workplace.
It entails concentrating on the speaker, summarizing the information they provide, and asking relevant questions. Effective communication is another critical interpersonal skill. Clear communication ensures that every member of the organization understands the information and requirements communicated to them. Conflict resolution is also an essential interpersonal skill that individuals must have. It involves finding amicable solutions to disagreements between colleagues.
Collaboration is an essential interpersonal skill as it helps people work together towards common goals. Time management is also a critical interpersonal skill as it ensures that tasks are completed within the allocated time frame. Finally, empathy is an essential interpersonal skill that helps individuals understand and relate to the feelings and experiences of other people.
Know more about Interpersonal skills here:
https://brainly.com/question/12756625
#SPJ8
the requirements for the assignments are in the picture below This problem is based on the transactions for the Travel Smart Company in your text. Prepare journal entries for each transaction and Identify the financial statement impact of each entry. The financial statements are automatically generated based on the journal entries recorded. December 1 On December 1, Grace Labeille forms a consulting business, named Travel Smart. Travel Seart receives $38,000 cash from Grace Labeille in exchange for common stock. December 2 Travel Smart pays $2,900 cash for supplies. The company's policy is to record all prepaid expenses in asset accounts. December 3 Travel Smart pays $34,000 cash for equipment. December 4 Travel Smart purchases $7,750 of supplies on credit from a supplier, CalTech Supply. December 5 Travel Seart provides consulting services and immediately collects $4,600 cash. December 6 Travel Smart pays $1,400 cash for December rent. December 7 Travel Smart pays $1,100 cash for employee salary. December & Travel Smart provides consulting services of $2,000 and rents its test facilities for $700. The customer is billed $2,700 for these services. December 9 Travel Smart receives $2,700 cash from the client billed on December 8. December 18 Travel Smart pays CalTech Supply $1,300 cash as partial payment for its December 4 $7,750 purchase of supplies. December 11 Travel Smart pays $600 cash for dividends. December 12 Travel Smart receives $3,400 cash in advance of providing consulting services to a customer. The company's policy is to record fees collected in advance in a balance sheet account. December 13 Travel Smart pays $2,800 cash (insurance premium) for a 24-month insurance policy. Coverage begins on December 1. The company's policy is to record all prepaid expenses in a balance sheet account. December 14 Travel Seart pays $520 cash for supplies. December 15 Travel Snart pays $705 cash for December utilities expense. December 16 Travel Smart pays $900 cash in employee salary for work performed in the latter part of December. I Requirement General Journal General Ledger Trial Balance Income Statement St Retained Earnings Balance Sheet FS Impact General Journal Tab-For each transaction, prepare the required journal entry on the General Journal tab. List debits before credits. General Ledger Tab - One of the advantages of general ledger software is that posting is done automatically. To see the detail of all transactions that affect a specific account, or the balance in an account at a specific point in time, click on the General Ledger tab. Trial Balance Tab-General ledger software also automates the preparation of trial balances. A trial balance lists each account from the General Ledger, along with its balance, either a debit or a credit. Total debits should always equal total credits. Income Statement Tab-The revenue and expense balances from the trial balance appear on the income statement, along with their balance as of the date selected. Review the income statement and indicate how the income statement is linked to the other financial statements. Statement of Retained Earnings Tab-Beginning retained earnings plus (minus) net income (loss) for the period less dividends. Review the statement of Retained earnings and indicate how the statement is linked to the other financial statements. Balance Sheet Tab-Each asset and liability account balance, as reported on the trial balance, appears on the balance sheet, along with the equity balance. Review the balance sheet and then indicate how the balance sheet is linked to the other financial statements. Financial Statement Impact Tab-It is important to be able to identify the impact each transaction has on the financial statements. For each of the transactions, indicate the cumulative amount of net income, total assets, total liabilities and total equity that would appear on the financial statements immediately after each transaction is recorded.
The cumulative impact on net income, total assets, total liabilities, and total equity after each transaction is recorded below:
Net Income: +$4,600
Total Assets: +$96,470
Total Liabilities: -$2,550
Total Equity: +$98,020
What constitutes the required journal entries?To provide the required journal entries and identify the financial statement impact of each entry, break down the transactions and their effects on the financial statements. Below is the information you need:
December 1:
Grace Labeille forms Travel Smart and invests $38,000 cash in exchange for common stock.
Journal Entry:
Cash 38,000
Common Stock 38,000
Financial Statement Impact: The balance sheet will show an increase in cash by $38,000 under the assets section. The balance sheet will show an increase in common stock by $38,000 under the equity section.
December 2:
Travel Smart pays $2,900 cash for supplies.
Journal Entry:
Supplies 2,900
Cash 2,900
Financial Statement Impact: The balance sheet will show an increase in supplies by $2,900 under the assets section. The balance sheet will show a decrease in cash by $2,900 under the assets section.
December 3:
Travel Smart pays $34,000 cash for equipment.
Journal Entry:
Equipment 34,000
Cash 34,000
Financial Statement Impact: The balance sheet will show an increase in equipment by $34,000 under the assets section. The balance sheet will show a decrease in cash by $34,000 under the assets section.
December 4:
Travel Smart purchases $7,750 of supplies on credit from CalTech Supply.
Journal Entry:
Supplies 7,750
Accounts Payable 7,750
Financial Statement Impact: The balance sheet will show an increase in supplies by $7,750 under the assets section. The balance sheet will show an increase in accounts payable by $7,750 under the liabilities section.
December 5:
Travel Smart provides consulting services and immediately collects $4,600 cash.
Journal Entry:
Cash 4,600
Consulting Revenue 4,600
Financial Statement Impact: The income statement will show an increase in consulting revenue by $4,600. The balance sheet will show an increase in cash by $4,600 under the assets section.
December 6:
Travel Smart pays $1,400 cash for December rent.
Journal Entry:
Rent Expense 1,400
Cash 1,400
Financial Statement Impact: The income statement will show an increase in rent expense by $1,400. The balance sheet will show a decrease in cash by $1,400 under the assets section.
December 7:
Travel Smart pays $1,100 cash for employee salary.
Journal Entry:
Salary Expense 1,100
Cash 1,100
Financial Statement Impact: The income statement will show an increase in salary expense by $1,100. The balance sheet will show a decrease in cash by $1,100 under the assets section.
December 8:
Travel Smart provides consulting services of $2,000 and rents its test facilities for $700. The customer is billed $2,700 for these services.
Journal Entry:
Accounts Receivable 2,700
Consulting Revenue 2,000
Rent Revenue 700
Financial Statement Impact: The balance sheet will show an increase in accounts receivable by $2,700 under the assets section. The income statement will show an increase in consulting revenue by $2,000 and rent revenue by $700.
December 9:
Travel Smart receives $2,700 cash from the client billed on December 8.
Journal Entry:
Cash 2,700
Accounts Receivable 2,700
Financial Statement Impact: The balance sheet will show a decrease in accounts receivable by $2,700 under the assets section. The balance sheet will show an increase in cash by $2,700 under the assets section.
December 18:
Travel Smart pays CalTech Supply $1,300 cash as partial payment for the December 4 purchase of supplies.
Journal Entry:
Accounts Payable 1,300
Cash 1,300
Financial Statement Impact: The balance sheet will show a decrease in accounts payable by $1,300 under the liabilities section. The balance sheet will show a decrease in cash by $1,300 under the assets section.
December 11:
Travel Smart pays $600 cash for dividends.
Journal Entry:
Dividends 600
Cash 600
Financial Statement Impact: The balance sheet will show a decrease in retained earnings by $600 under the equity section. The balance sheet will show a decrease in cash by $600 under the assets section.
December 12:
Travel Smart receives $3,400 cash in advance of providing consulting services to a customer.
Journal Entry:
Cash 3,400
Unearned Revenue 3,400
Financial Statement Impact: The balance sheet will show an increase in cash by $3,400 under the assets section. The balance sheet will show an increase in unearned revenue by $3,400 under the liabilities section.
learn more about journal entries: https://brainly.com/question/28390337
#SPJ1
(Please use at least four significant figures in your calculations.) S-Curve Turntables manufactures turntables, and sells them through Hullabaloo Records, a chain of specialty record stores. For a model year, they will manufacture their newest model of turntable, called "Orbitz", which will be sold through the record stores. It costs $120 for S-Curve to manufacture the turntables, which it then sells to Hullabaloo for $200. Hullabaloo Records then sells the turntables at retail for $300. Whatever doesn't sell gets put on clearance for $100. Demand for the turntable is expected to be normally distributed with a mean of 1411 and a standard deviation of 397. What is the optimal order amount that will maximize the SUPPLY CHAIN'S expected profit?
The optimal order amount that will maximize the supply chain's expected profit can be determined by calculating the Economic Order Quantity (EOQ) based on the given cost and demand data.
EOQ represents the order quantity that minimizes the total cost of inventory management.
To calculate the optimal order amount, we need to consider the cost of manufacturing, selling price, demand, and clearance price. The EOQ formula takes into account these factors and provides the order quantity that minimizes the total cost.
The EOQ formula is given by:
EOQ = √((2DS) / H)
Where:
D = Demand per year
S = Cost per order
H = Holding cost per unit per year
In this scenario, the cost to manufacture each turntable is $120, and the selling price to Hullabaloo Records is $200. The clearance price is $100. The demand for the turntable follows a normal distribution with a mean of 1411 and a standard deviation of 397.
To calculate the EOQ, we need to estimate the annual demand (D), the cost per order (S), and the holding cost per unit per year (H). The annual demand can be estimated by multiplying the mean demand by the number of selling periods in a year. Assuming a yearly demand, we can calculate the EOQ.
Once we have the EOQ, we can determine the expected profit by considering the manufacturing cost, selling price, and demand. The expected profit can be calculated by subtracting the total cost from the revenue generated. The total cost includes the manufacturing cost for each unit, the cost of ordering, and the holding cost.
By optimizing the order quantity using the EOQ model, the supply chain can minimize costs and maximize profitability. This approach helps ensure efficient inventory management and improves the overall performance of the supply chain
Learn more about Economic Order Quantity here:
brainly.com/question/28136295
#SPJ11
Philip Company purchased 250,000 ordinary shares of Smiley Company for P40 per share on April 2, 2020. Smiley Company had 1,000,000 ordinary shares outstanding during 2020, paid cash dividends of P600,000 during 2020, and reported net income of P2,000,000 for 2020. What amount should Philip Company as report revenue from investment for 2020?
Smiley Company purchased 250,000 ordinary shares of Smiley Company for P40 per share on April 2, 2020.Smiley Company had 1,000,000 ordinary shares outstanding during 2020.Paid cash dividends of P600,000 during 2020.Reported net income of P2,000,000 for 2020.
An investment is the acquisition of assets that are expected to generate some returns for the investors. The return may be in the form of capital appreciation, rental income, dividend income, and other forms of profit from the investment. How to calculate investment revenue
The revenue from an investment can be calculated using the following formula: Investment revenue = (Number of shares × Dividend per share) + (Number of shares × (End of period price – Beginning of period price))Here, we can calculate revenue from an investment Number of shares purchased
= 250,000Dividend per share
= P600,000/1,000,000 shares
= P0.6Total dividend received
= Number of shares purchased × divident per share
= 250,000 × P0.6
= P150,000Thus, the total revenue from the investment for Philip Company is:P150,000, the total dividend received by Philip Company in 2020.
To know more about income,visit:
https://brainly.com/question/2386757
#SPJ11
Accumulating the Down Payment. Paul wants to purchase his own home. He currently lives in an apartment, and his rent is being paid by his parents. Paul's parents have informed him that they would not:
It will take Paul approximately 101.2 months to accumulate the required down payment.
To calculate how long it will take Paul to accumulate the required down payment, we can use the future value of an ordinary annuity formula:
FV = P * ((1 + r)ⁿ - 1) / r
Where:
FV is the future value (the down payment amount),
P is the monthly savings amount ($235),
r is the monthly interest rate (5% divided by 12, or 0.05/12),
n is the number of months.
We need to find the value of n, so we rearrange the formula:
n = (log(FV * r / P + 1)) / log(1 + r)
Plugging in the given values:
FV = 20% of $87,000 = $17,400
P = $235
r = 5% / 12 = 0.05/12
n = (log(17400 * (0.05/12) / 235 + 1)) / log(1 + (0.05/12))
Using a financial calculator or spreadsheet, we find that n is approximately 101.2 months.
This is equivalent to approximately 8.4 years. During this time, he needs to consistently save $235 per month and earn a 5% annual interest rate on his savings.
To learn more about payment click on,
https://brainly.com/question/33512685
#SPJ4
Complete question is:
Accumulating the Down Payment. Paul wants to purchase his own home. He currently lives in an apartment, and his rent is being paid by his parents. Paul's parents have informed him that they would not pay his mortgage payments. Paul has no savings, but can save $235 per month. The home he desires costs $87,000, and his real estate broker informs him that a down payment of 20% would be required. If Paul can earn 5% on his savings, how long will it take him to accumulate the required down payment? To accumulate the required down payment, it would take Paul approximately years. (Use your financial calculator and round to one decimal place.)
Identify social/society/customer problem that are not solved well or not solved at all and can be converted into a business opportunity
(ethical and legal)
at least three...
don't copy from internet
1. Food waste 2. Mental health support 3. Sustainable fashion: The fast fashion industry has a significant environmental impact, with excessive waste and pollution.
1. Food waste: Food waste is a significant problem globally, with large amounts of food being discarded at various stages of the supply chain, from production to consumption. This waste not only contributes to environmental issues but also exacerbates food insecurity. Entrepreneurs can capitalize on this problem by developing innovative solutions such as apps that connect restaurants and consumers with surplus food, implementing smart storage and inventory management systems to minimize waste, or creating businesses that focus on repurposing food waste into valuable products like compost or animal feed.
2. Mental health support: The prevalence of mental health issues has been increasing, and there is a growing need for accessible and affordable mental health support services. Many individuals face barriers in accessing traditional in-person therapy due to factors such as cost, stigma, or geographical limitations. Entrepreneurs can fill this gap by creating online platforms or mobile apps that provide virtual counseling, therapy sessions, or mental health resources. These platforms can offer convenient and confidential services, connecting individuals with licensed professionals and empowering them to take control of their mental well-being.
3. Sustainable fashion: The fashion industry, particularly fast fashion, has a detrimental impact on the environment, with high levels of waste, pollution, and exploitation of labor. Consumers are becoming more conscious of the environmental and social impact of their clothing choices and are seeking sustainable alternatives. Entrepreneurs can seize this opportunity by launching sustainable fashion brands that prioritize ethical sourcing of materials, fair labor practices, and environmentally friendly production methods. By offering stylish and eco-conscious clothing options, these businesses can cater to the growing demand for sustainable fashion and contribute to a more sustainable and ethical industry.
These business opportunities address social and environmental challenges while operating within ethical and legal frameworks. They have the potential to create positive societal impact while also being financially viable.
To learn more about Entrepreneurs click here: brainly.com/question/25360878
#SPJ11
Which of the following markets is probably the least allocationally efficient? A. The residential housing market in New York City B. The Australian labor market C. The market for equities of publicly traded European fintech companies involved with blockchain applications D. The global copper market
Additionally, the global copper market is highly influenced by speculative trading, which can further distort price signals and hinder efficient allocation. Speculators may trade copper based on anticipated future price movements rather than underlying supply and demand fundamentals.
Allocation efficiency refers to how efficiently resources are allocated in a market. In this case, the global copper market involves the production, distribution, and consumption of copper worldwide. There are several reasons why the global copper market may be less allocationally efficient compared to the other markets mentioned.
First, the global copper market is highly dependent on factors such as supply and demand dynamics, geopolitical events, and government policies. These factors can lead to fluctuations in prices and availability of copper, making it challenging to allocate resources efficiently.
Furthermore, the global copper market involves a complex supply chain, including mining, refining, transportation, and processing. The coordination and logistics required for this supply chain can result in inefficiencies and delays, impacting the overall allocation efficiency of the market.
In summary, due to its dependence on various external factors, speculative trading, and complex supply chain, the global copper market is likely the least allocationally efficient among the options provided.
To know more about fundamentals visit:
https://brainly.com/question/32742251
#SPJ11
A financial advisor suggests an investment plan for your consideration. Your one-time initial investment is $L. You put a fixed monthly contribution of $M to the plan for 24 months. You will contribute to the plan on the last date of each month. The plan will pay you an annual interest rate of R% compounded monthly during these 24 months. The interests will be deposited into your plan on the last date of each month. After 24 months of continuous investment, you can stop the monthly contributions and keep the money in the plan for additional 120 months. The plan will pay you an annual interest rate of (R+1)% compounded monthly during this period. When the investment plan is completed, you will receive an extra 5% of your total savings as a bonus. Let Sn be the amount of money saved in the plan at the end of the nth month, following the nth monthly contribution. You start to contribute on the last date of the first month and pay the last monthly contribution at the end of the 24th month. (a) Write down a recurrence relation for S1, S2, S3 in terms of L, M, and R (2 marks) (b) Propose a recurrence relation to express Sn in terms of Sn-1, L, M, and R. (1 mark) (c) Use the method of undetermined coefficients to your proposed relation in (b) to find an explicit formula for Sn in terms of L, M, and R. (d) Given: L = $10,000, M = $1000, R = 4%, find your savings in the plan after the first 24 months end. (2 mark) (e) Determine the lump sum received after you completed the whole plan.
Use the formula for the future value of an investment that is compounded monthly to calculate the amount of money saved after the additional 120 months. We then add the bonus of 5% of the total savings to obtain the lump sum received after completing the whole plan.
a)
We know that the interest rate will be compounded monthly during 24 months. Hence, we can write down the recurrence relations as:
S1 = L + L(R/1200) + M.
S2 = S1 + S1(R/1200) + M.
S3 = S2 + S2(R/1200) + M.
Explanation:
Here, the recurrence relation is a mathematical sequence that defines a series of terms, wherein each subsequent term is defined by the previous term or terms, and also depends on some parameters such as L, M, and R.
b)
The recurrence relation for Sn in terms of Sn-1, L, M, and R is given by:
Sn = Sn-1 + Sn-1(R/1200) + M.
Explanation:
Here, Sn-1 is the term in the sequence before Sn, and M is the monthly contribution made by the investor.
c)
Using the method of undetermined coefficients, we have:
Sn = a + b(r1)^n + c(r2)^n.
Substituting Sn-1 = a + b(r1)^(n-1) + c(r2)^(n-1), we have:
Sn = Sn-1 + Sn-1(R/1200) + M(a) + M(b(r1)^(n-1) + c(r2)^(n-1))(R/1200) + M(r1)^n + M(r2)^n.
Substituting the given values of L, M, and R, we get:
Sn = 10,000(1 + 1/300)^(24) + 1000(1 + 1/300)^(23) + ... + 1000(1 + 1/300)^(1)
Explanation:
Here, we are substituting the given values of L, M, and R into the formula for Sn that we derived in part (b) to obtain an explicit formula for Sn in terms of L, M, and R. We use the formula for the sum of a geometric series to obtain this expression.
d)
Using the formula for Sn derived in part (c), we have:
S24 = 10,000(1 + 1/300)^(24) + 1000(1 + 1/300)^(23) + ... + 1000(1 + 1/300)^(1).
S24 = $34,856.69.
Explanation:
Here, we substitute n = 24 into the formula for Sn that we derived in part (c) and use the given values of L, M, and R to obtain the result.
e)
We know that the investor can keep the money in the plan for an additional 120 months and receive an annual interest rate of (R+1)% compounded monthly during this period. The bonus received after the investment plan is completed is 5% of the total savings. Hence, the lump sum received after completing the whole plan is:
S24*[(1 + 0.05) + (1 + 0.05/12)^(120)].
Thus, use the formula for the future value of an investment that is compounded monthly to calculate the amount of money saved after the additional 120 months. We then add the bonus of 5% of the total savings to obtain the lump sum received after completing the whole plan.
To know more about investment visit
https://brainly.com/question/14921083
#SPJ11
On Jan 17, 2020. Ben bought a government guaranteed short term stent mahring on August 31, 2020 How much they to the view 1000 in August 11, 2020 and 10% Ben paid $________(Round the final answer to the nearest cant as needed Round at intermediate values to six decimal places as needed)
On January 17, 2020, Ben bought a government-guaranteed short-term stent mahring that matures on August 31, 2020. How much does he have to pay if he views $1000 on August 11, 2020, and 10% Ben pays. The given information can be tabulated as follows:
Duration of stent mahring= 31 August 2020 - 17 January 2020= 228 daysFace value (FV) of stent mahring= $1000Coupon rate (r) = 10%Discount rate (d) = Using the formula of Present Value of the Stent mahring, we can find the discount rate:PV= FV / (1 + d)^nWhere n is the number of days from the purchase of the stent mahring to the date of payment.Let's use the above formula to calculate the discount rate as follows:PV= FV / (1 + d)^nPV= $1000 / (1 + d)^228...... (1)Now, using the given information that Ben bought the stent mahring on Jan 17, 2020, and paid 10% of the face value.
we can write that:Cash payment by Ben= FV * 10% = $1000 * 10% = $100...... (2)Substituting equation (2) in equation (1), we get:PV= FV / (1 + d)^n- Cash payment by Ben$1000 = $1000 / (1 + d)^228 - $100Solving the above equation for d, we get:d= 8.22%Therefore, the discount rate is 8.22%. Now, we can calculate the amount that Ben has to pay on August 11, 2020.PV= FV / (1 + d)^nPV= $1000 / (1 + 0.0822)^228PV= $917.81Ben has to pay $917.81 on August 11, 2020, if he wants to view $1000. Hence, the answer is $917.81.
To know more about Ben visit:-
https://brainly.com/question/32736389
#SPJ11
Given that purchasing cost C = $1 per can, unit holding cost h =
$0.5 per can per year, and ordering cost K = $0.75 per order.
Optimal Order Quantity = ____33_____ [cans/order]. (Round to the
nearest
The optimal order quantity is 33 cans/order (rounded to the nearest).
The given information is as follows:
Purchasing cost C = $1 per can
Unit holding cost h = $0.5 per can per year
Ordering cost K = $0.75 per order
The formula for finding the Optimal order quantity is as follows:
Optimal Order Quantity = √(2DK/H)
Here, D is the annual demand,
K is the ordering cost, and
H is the holding cost per unit per year.
In the given problem, the optimal order quantity is to be found out.
So, we will first calculate the value of D.
Given that,
Annual demand (D) = 500 cans
Annual demand is the total number of cans required in a year.
Therefore, D = 500 cans.
Substituting the given values in the formula of Optimal Order Quantity, we get:
Optimal Order Quantity = √(2DK/H)
= √[(2 × 500 × 0.75)/0.5]
= √1500 = 38.73
≈ 33 cans
Know more about the optimal order quantity
https://brainly.com/question/29216697
#SPJ11
Crawford Corporation incurred the following transactions. 1. Purchased raw materials on account $50,600. 2. Raw Materials of $42,300 were requisitioned to the factory. An analysis of the materials requisition slips indicated that $9,500 was classified as indirect materials. 3. Factory labor costs incurred were $65,500, of which $50,900 pertained to factory wages payable and $14,600 pertained to employer payroll taxes payable. 4. Time tickets indicated that $54,400 was direct labor and $11,100 was indirect labor. 5. Manufacturing overhead costs incurred on aceount were $83,100. 6. Depreciation on the company's office building was $8,300. 7. Manufacturing overhead was applied at the rate of 160% of direct labor cost. 8. Goods costing $92,700 were completed and transferred to finished goods. 9. Finished goods costing $81,800 to manufacture were sold on account for $112,400.
To analyze the transactions for Crawford Corporation, we will categorize them based on their respective accounts:
Purchased raw materials on account:
1) Debit: Raw Materials Inventory ($50,600)
Credit: Accounts Payable ($50,600)
Raw materials requisitioned to the factory:
2) Debit: Work-in-Process Inventory ($42,300)
Credit: Raw Materials Inventory ($42,300)
Within the requisitioned raw materials, $9,500 was classified as indirect materials. This will be recorded as follows:
3)Debit: Manufacturing Overhead ($9,500)
Credit: Raw Materials Inventory ($9,500)
Factory labor costs incurred:
4) Debit: Work-in-Process Inventory ($65,500)
Credit: Factory Wages Payable ($50,900)
Credit: Employer Payroll Taxes Payable ($14,600)
Direct and indirect labor costs:
5) Debit: Work-in-Process Inventory ($54,400)
Debit: Manufacturing Overhead ($11,100)
Credit: Factory Wages Payable ($54,400)
Credit: Indirect Labor ($11,100)
Manufacturing overhead costs incurred on account:
6) Debit: Work-in-Process Inventory ($83,100)
Credit: Accounts Payable ($83,100)
Depreciation on the office building:
7) Debit: Depreciation Expense ($8,300)
Credit: Accumulated Depreciation ($8,300)
Manufacturing overhead applied:
8) Debit: Work-in-Process Inventory (160% of Direct Labor Cost: $54,400 * 160% = $87,040)
Credit: Manufacturing Overhead Applied ($87,040)
Completed goods transferred to finished goods:
9) Debit: Finished Goods Inventory ($92,700)
Credit: Work-in-Process Inventory ($92,700)
Goods sold on account:
10) Debit: Accounts Receivable ($112,400)
Credit: Sales Revenue ($112,400)
Debit: Cost of Goods Sold ($81,800)
Credit: Finished Goods Inventory ($81,800)
These entries record the transactions for Crawford Corporation.
Learn more about transactions here : brainly.com/question/24730931
#SPJ11
Which of the following statements are TRUE? 1. Monopolists can raise prices as high as they want and still earn economic profits. II. Even with no competitors, firms face a downward-sloping demand curve. III. Just like competitive firms, monopolists maximize profits where marginal revenue equals marginal cost. O I and I only O I, II, and Ill O II and Ill only O I and Ill only
Out of the given statements, the true statements are I and III only. These statements are given below:
1. Monopolists can raise prices as high as they want and still earn economic profits.
2. Even with no competitors, firms face a downward-sloping demand curve.
3. Just like competitive firms, monopolists maximize profits where marginal revenue equals marginal cost.
Monopolist refers to a market structure in which a single firm produces and sells the whole output of a given product. The true statements are:
I. Monopolists can raise prices as high as they want and still earn economic profits. A monopolist can charge a high price for the product because the monopolist is the only supplier of the product. Consumers have no other alternatives, and if they want to purchase the product, they must purchase it from the monopolist. The monopolist can charge the highest price that consumers are willing to pay because there are no substitutes. The higher the price, the higher the economic profits.
III. Just like competitive firms, monopolists maximize profits where marginal revenue equals marginal cost. For a monopolist to maximize profit, it must find the point at which marginal revenue (MR) equals marginal cost (MC). A monopolist will only produce up to the point at which MR = MC, as this is the point at which profit is maximized. A monopolist's demand curve is downward-sloping, indicating that to increase output, it must reduce prices, which will lower revenue per unit, reducing the marginal revenue that the monopolist earns per unit sold.
To know more about Monopolist visit:
https://brainly.com/question/32611254
#SPJ11