Your corporation is considering replacing older equipment. The old machine is fully depreciated and cost $52,500.00 seven years ago. The old equipment currently has no market value. The new equipment costs $51,800.00. The new equipment will be depreciated to zero using straight-line depreciation for the four-year life of the project. At the end of the project, the equipment is expected to have a salvage value of $14,000.00. The new equipment is expected to save the firm $30,000.00 annually by increasing efficiency and cost savings. The corporation has a tax rate of 32% and a required return on capital of 10.2%. Question 1 What is the total initial cash outflow? (Round to the nearest dollar, and show your answer as a negative number.) Question 2 What are the estimated annual operating cash flows? (Calculate your answer to the nearest dollar amount.) Question 3 What is the terminal cash flow? (Calculate your answer to the nearest dollar.) Question 4 What is the NPV for this project? (Calculate your answer to the nearest dollar.)

Answers

Answer 1

Question 1: What is the total initial cash outflow?

Initial cash outflow is the amount of cash that needs to be paid at the start of the project. It is also referred to as the initial investment required to undertake the project. The cash outflows for the purchase of the new equipment are as follows:

Cash outflow = Cost of new equipment – Tax savings on the purchase of new equipment

Cash outflow = $51,800.00 - ($51,800.00 × 32%)

Cash outflow = $51,800.00 - $16,576.00

Cash outflow = $35,224.00

Hence, the total initial cash outflow is $35,224.00.

What are the estimated annual operating cash flows?

The estimated annual operating cash flows can be calculated as follows:

Annual operating cash flows = Savings in operating cost + Depreciation tax shield

Annual operating cash flows = $30,000.00 + (Depreciation per year × Tax rate)

Depreciation per year = (Purchase price – Salvage value) / Life of project

Depreciation per year = ($51,800.00 - $14,000.00) / 4

Depreciation per year = $9,450.00

Annual operating cash flows = $30,000.00 + ($9,450.00 × 0.32)

Annual operating cash flows = $33,044.00

Hence, the estimated annual operating cash flows are $33,044.00

In this case, r is 10.2% and n is 4. NPV can be calculated as follows:

NPV = -$35,224.00 + ($33,044.00 / 1.102) + ($9,520.00 / 1.1024)

NPV = -$35,224.00 + $24,444.00 + $7,617.00

NPV = -$3,163.00

Hence, the NPV for this project is -$3,163.00.

To know more about undertake visit :

https://brainly.com/question/20813297

#SPJ11


Related Questions

currently the federal minimum wage is 7.25 should the federal government raise the minimum wage? why or why not?
How will this impact businesses and consumers? would there be any other things to vonsider if wages are raised?
Currently, the federal minimum wage is 7.25 should the federal government raise the minimum wage? why or why not?
How will this impact businesses and consumers? would there be any other things to consider if wages are raised?

Answers

Yes, the federal government should raise the minimum wage in order to provide a living wage for workers. The current minimum wage of $7.25 per hour has been in place since 2009, and it is no longer enough to cover basic living expenses
However, increasing the minimum wage would also have an impact on businesses and consumers. Businesses that employ minimum wage workers would see an increase in their labor costs, which could lead to higher prices for goods and services. Consumers would likely have to pay more for these goods and services, which could lead to a decrease in demand.

Additionally, there are other factors to consider if wages are raised. For example, some argue that raising the minimum wage could lead to job loss, as businesses may be forced to cut back on staff in order to offset the increased labor costs. Others argue that raising the minimum wage could lead to increased automation, as businesses look for ways to reduce their labor costs.
To know more about visit:

https://brainly.com/question/28222698

#SPJ11

a) Come up with a hypothetical scenario for a case study from "Education Industry". Summarize it using your own words within 3-5 lines. b) Discuss a challenge or an issue from the case study and how the organisation utilized any of the data analytics concepts or technology to overcome the issue.

Answers

Hypothetical scenario: A university with multiple campuses has noticed a decrease in enrollment in their computer science program. They want to investigate the issue and determine why students are not choosing to pursue this major. They decide to conduct a study by collecting data from current and past students as well as analyzing industry trends to determine the root cause of the problem.

b) Challenge/Issue: The university discovers that students are not enrolling in the computer science program due to a lack of awareness about the various career paths and job opportunities available in the field. Many students do not understand the potential for growth and high-paying positions.

Data Analytics Concept: The university uses data analytics to determine the trends in the job market and analyze industry data to understand the opportunities available for computer science graduates. They use this data to create a comprehensive report that includes information on potential career paths and job opportunities in the field.

To know more about Hypothetical visit:

https://brainly.com/question/30723569

#SPJ11

the withholding allowances of an employee affect (a) social security tax withheld. (b) federal income tax withheld. (c) federal unemployment tax owed. (d) state unemployment tax owed.

Answers

The withholding allowances of an employee can affect the following:
(a) Social Security tax withheld: The number of withholding allowances claimed by an employee can affect the amount of Social Security tax withheld from their paycheck. The Social Security tax rate is a fixed percentage of an employee's wages up to a certain limit. The more allowances an employee claims, the lower the amount of taxable wages subject to Social Security tax, and therefore, the less Social Security tax will be withheld.
(b) Federal income tax withheld: Withholding allowances also impact the federal income tax withheld from an employee's paycheck. Employees can claim withholding allowances on their W-4 form, which helps determine the amount of federal income tax to be withheld. The more allowances an employee claims, the less federal income tax will be withheld, as each allowance reduces the taxable income subject to tax
(c) Federal unemployment tax owed: The withholding allowances of an employee do not directly affect the federal unemployment tax owed. Federal unemployment taxes are paid by the employer and are not impacted by the employee's withholding allowances.
(d) State unemployment tax owed: Similar to federal unemployment tax, the employee's withholding allowances do not directly affect the state unemployment tax owed. State unemployment taxes are typically paid by the employer and are based on the employer's experience rating and state-specific regulations.

To learn more about, Withholding Allowances, click here, https://brainly.com/question/31697651

#SPJ11

Explain the market equilibrium using a diagram to illustrate the local telecommunication retail market before and after the entry of MVNOs. Explain the impact on the industry price and quantity in terms of the services provided. (with market equilibrium curve provided)

Answers

Market equilibrium is a state where the supply and demand are equal. This occurs when a market is at equilibrium. Market equilibrium can be explained using a diagram, which shows the relationship between supply and demand. The local telecommunication retail market is a perfect example of market equilibrium.

It is a market where various telecommunication companies sell their services to the customers. Before the entry of MVNOs, there were fewer players in the market, and the demand for telecommunication services was higher than the supply.

Therefore, the industry was in a state of disequilibrium as shown in the figure below: [tex]\begin{align} Q_{D} &= 150- 10P\\ Q_{S} &= 20 + 10P\\ \end{align}[/tex]The figure above shows the market equilibrium curve. At the price of $12, the quantity demanded is equal to the quantity supplied, i.e., QD=QS=70.

This is the equilibrium price, and the market is at equilibrium. However, in the local telecommunication retail market, the equilibrium price was $20 with a quantity of 50 units before the entry of MVNOs. This indicates that there was a shortage of telecommunication services in the market.

The arrival of MVNOs increased the supply of telecommunication services in the market. Therefore, the supply curve shifted to the right, as shown in the figure below:[tex]\begin{align} Q_{D} &= 150- 10P\\ Q_{S} &= 40 + 10P\\ \end{align}[/tex].

To know more about diagram visit:

https://brainly.com/question/24192875

#SPJ11

In one paragraph, justify why language barriers, cultural gaps, and risks from external threats like governmental or bad actors/cyberattacks are significant in deciding whether a shoe market industry will not come to market in a specific region, especially in Asia/Pacific region.

Answers

The global market is an open platform where many companies and industries come together to exchange goods and services. It is becoming increasingly important to expand one's business in the Asian market.

The cultural, social, and economic environment has to be assessed while making such an attempt. Language barriers, cultural gaps, and external risks are significant factors that determine whether the shoe market industry will come to the market in a specific region or not. Asia Pacific has a diverse range of cultures and languages. The most significant challenge for any shoe industry will be to address these language barriers.

Shoes are a vital part of our daily life, and it is essential to communicate with the customers in their language. The industry must create brand awareness in the language of their customers to ensure market penetration.

External threats such as governmental policies, bad actors, and cyberattacks are significant factors that can affect the industry's success. The industry must have the resources to overcome any legal and regulatory challenges imposed by the government.

To know more about resources visit:

https://brainly.com/question/14289367

#SPJ11

Using the given information, calculate the amount in respect of Subscription that is needed to be credited into Income and Expenditure account. Also show various ledger accounts. During the current year (2020), subscription received in Cash is $50,000. It also includes the amount that is receivable during the previous year (2019) of $2,500 and amount received in advance for next year (2021) for $1,500. Also there is an outstanding receivable for 2020 of $4,500.

Answers

Income and Expenditure account is a nominal account that represents the income or expense of the organization for a specific period of time. This account is used to identify the revenue or expense of a nonprofit organization. Subscription is a type of income for non-profit organizations.

The subscription income is recorded in the income and expenditure account. Subscription income can be recorded in three ways which are as follows: Subscription Income received in cash: $50,000Subscription Income received in advance: $1,500Outstanding receivables for 2020:

$4,500Subscription Income for previous year (2019) receivables: $2,500 Calculation of Subscription that is needed to be credited into Income and Expenditure account Subscription for the year 2020 = Subscription received in Cash + Outstanding receivables for 2020 - Subscription Income for previous year (2019) receivables

Subscription for the year 2020 = $50,000 + $4,500 - $2,500Subscription for the year 2020 = $52,000 Ledger Accounts Ledger accounts represent the summarized transactions of a specific item. The following ledger accounts will be prepared for the given information: Subscription received in Cash Ledger Account Subscription Income Received in Cash Particulars Amoun Particulars Amount Subscription Income Received in Cash$50,000

Outstanding Receivables for 2020 Ledger Account Outstanding Receivables for 2020

To know more about Expenditure visit:

https://brainly.com/question/30063968

#SPJ11

Discuss Adidas wide risk and the benefits and drawbacks of such
an approach.

Answers

Adidas, as a global sports apparel and footwear company, faces a wide range of risks inherent in its operations and industry.

Strategic Risks: Strategic risks for Adidas include intense competition in the sports industry, evolving consumer preferences, and changing market dynamics. Additionally, reliance on key endorsers and the need to continuously innovate and differentiate its products pose strategic risks. Failure to effectively anticipate and adapt to these risks may result in loss of market share and reduced profitability.

Operational Risks: Operational risks for Adidas encompass supply chain disruptions, manufacturing issues, product quality concerns, and logistics challenges. As a global company, dependence on suppliers, production facilities, and distribution networks exposes Adidas to various operational risks. Failure to manage these risks can lead to delays in product availability, reputational damage, and financial losses.

Financial Risks: Adidas faces financial risks such as fluctuating currency exchange rates, interest rate volatility, credit risks, and liquidity challenges. As a multinational company operating in multiple markets, currency fluctuations can impact its revenue and profitability. Additionally, economic downturns and changes in interest rates can affect consumer spending patterns and demand for Adidas products.

Benefits of Adidas' wide risk approach:

Holistic risk management: By identifying and addressing a wide range of risks, Adidas can develop comprehensive risk management strategies that mitigate potential threats and enhance business resilience.

Competitive advantage: Effectively managing risks enables Adidas to stay ahead of competitors and adapt to changing market conditions. This can lead to improved market positioning and sustained growth.

Drawbacks of Adidas' wide risk approach:

Increased complexity: Managing a wide range of risks requires significant resources, expertise, and coordination across different functions and geographies. This complexity can pose challenges in implementation and decision-making processes.

Resource allocation: Allocating resources to address diverse risks may divert attention and resources from other strategic initiatives. Striking the right balance between risk mitigation and growth initiatives is crucial.

Uncertainty and unpredictability: Despite a comprehensive risk management approach, unexpected events or emerging risks may still occur, leading to potential disruptions or financial losses.

To learn more about industry

https://brainly.com/question/30001696

#SPJ11

what are the restrictions on investment portfolios that require that all securities held within the portfolio meet a specified level of safety called?

Answers

The  restrictions on investment portfolios that require all securities held within the portfolio to meet a specified level of safety are called "suitability requirements."

Suitability requirements refer to guidelines or regulations that determine the types of investments that are suitable for a particular investor or investment portfolio.These requirements ensure that the investments held within a portfolio align with the investor's risk tolerance, financial goals, and investment time horizon.The specified level of safety mentioned in your question is one of the criteria used to determine the suitability of securities for a particular portfolio.


Safety in this context generally refers to the stability and reliability of the investment, with an emphasis on minimizing the potential for loss.For example, if an investment portfolio has a suitability requirement for high safety, it may restrict or exclude investments with higher levels of risk, such as speculative stocks or highly volatile assets.On the other hand, a portfolio with a suitability requirement for moderate safety may allow a broader range of investments, including some moderate-risk securities.

To know more about securities visit:

https://brainly.com/question/33904741

#SPJ11

A query optimization is, at its core, the selection of the best execution strategy for that query. In this case, optimization may not correlate to optimal in terms of the query but to the most efficient or most cost-effective or both. Of the execution methods or plans available, describe an instance in which a particular one makes the most sense and provide a real-world example of what it might be. Justify your choice.

Answers

A query optimization at its heart is the choice of the best execution plan for that query, which may not necessarily correlate to optimal in terms of the query but to the most cost-effective or efficient or both. The sort of execution method or plan that makes the most sense and provides a real-world example of what it could be is described below.

An execution method or plan is most ideal when it increases efficiency by optimizing how database systems gather and interpret data. The aim is to minimize overheads, such as CPU utilization, network traffic, and disk I/O, to make the most of machine resources. An example of a situation in which an execution plan is most desirable is when dealing with a query that involves joins and a large number of tables. Because joins may be one of the most time-consuming and memory-consuming processes for the database engine, it's critical to choose the correct execution strategy to make it as efficient as possible.

In this instance, the best execution method would be to use a hash join. Because hash joins allow for the hashing of data in memory before the join is completed, they can be much quicker than traditional joins. Furthermore, in situations where the number of rows is small, hash joins can use far less memory than traditional joins. When the number of rows involved is huge, it may be preferable to use disk-based hash joins rather than in-memory hash joins.

A query optimization is, at its core, the selection of the best execution strategy for that query. Optimization may not correlate to optimal in terms of the query but to the most efficient or most cost-effective or both. The most suitable execution method or plan is one that increases efficiency by optimizing how database systems collect and analyze data. The goal is to reduce overheads such as CPU usage, network traffic, and disk I/O to make the most of machine resources.

When dealing with a query that includes joins and a large number of tables, the best execution method would be to use a hash join. Because hash joins allow for the hashing of data in memory before the join is completed, they can be much quicker than traditional joins. Furthermore, in situations where the number of rows is small, hash joins can use far less memory than traditional joins. When the number of rows involved is huge, it may be preferable to use disk-based hash joins rather than in-memory hash joins.

Learn more about A query optimization: https://brainly.com/question/4908072

#SPJ11

2. First, describe what a budget deficit is in terms of the relationship between G and T. In the debate over government budget deficits the angument against deficits is the one called "crowding out," In your own words explain "crowding out" and be sure to explain how the economic data either support or. contradict the argument.

Answers

Budget deficit is defined as the excess of spending or expenditure over revenue or income. The government budget deficit is defined as the amount by which the government's expenditure exceeds its revenue or income.

The term 'crowding out' refers to the phenomenon of private investment being replaced by public investment when the government borrows funds to finance its budget deficit. When the government borrows funds from the private sector, it is effectively competing with private borrowers for available funds.

The increased competition for funds leads to a rise in interest rates and this rise in interest rates may discourage private investment by making it more expensive to borrow money.The argument against government budget deficits is that they lead to higher interest rates and lower levels of private investment. This argument is known as the 'crowding out' argument.

In other cases, an increase in government borrowing has led to a decrease in interest rates but no increase in private investment. In still other cases, an increase in government borrowing has led to an increase in interest rates and a decrease in private investment.

Know more about the Budget deficit

https://brainly.com/question/30064608

#SPJ11

when there is a negative externality, the unregulated free market results in a level of output that is: a)equal to the socially efficient level of output b)greater than the socially efficient level of output c)smaller than the socially efficient level of output d)sometimes greater than and sometimes smaller than socially efficient level of output

Answers

In the presence of a negative externality, the unregulated free market tends to result in a level of output that is greater than the socially efficient level.

b) greater than the socially efficient level of output.

In the presence of a negative externality, an unregulated free market tends to result in a level of output that is greater than the socially efficient level of output. This occurs because the negative externality, such as pollution or congestion, imposes costs on society that are not accounted for in the market transactions. As a result, producers and consumers do not consider these external costs when making their decisions, leading to an overallocation of resources towards the activity causing the negative externality. Therefore, option b) is the correct statement in this context.

learn more about negative externality here:
https://brainly.com/question/13901028

#SPJ11

the way a product is designed, named, and packaged has little influence on the success of that product.

Answers

Factors such as quality, functionality, and value are crucial, the design, naming, and packaging of a product play important roles in attracting consumers, creating brand identity.

Design: A well-designed product can enhance user experience, usability, and aesthetics, which can positively impact consumer perception and satisfaction. A visually appealing and user-friendly design can create a positive impression, leading to increased sales and customer loyalty.

Naming: The name of a product can influence consumer perception, brand recognition, and recall. A catchy and memorable name can make a product stand out, facilitate brand association, and contribute to its market success.

Packaging: Packaging serves multiple purposes, including protection, convenience, and promotion. Eye-catching and informative packaging can attract attention, communicate product features and benefits, and create a positive impression on potential buyers. Packaging also contributes to brand recognition and shelf appeal, especially in competitive retail environments.

While product success is influenced by various factors, downplaying the significance of design, naming, and packaging would overlook the impact they have on consumer behavior, brand image, and market competitiveness. Companies invest substantial resources in these areas to differentiate their products and gain a competitive edge. Therefore, it is essential to recognize the importance of these elements in driving product success.

To learn more about association

https://brainly.com/question/29522683

#SPJ11

which of the following taxpayers is required to file schedule B with their 2022 tax return of the received $943 in ordinary dividends from his mutual fund Hannah has secured interest from a bond she sold your New Year Madison received $1,479 in interest on her money market account all received 236 in interest when she cashed in her US savings bond

Answers

Schedule B is a form used by taxpayers to report all their taxable interest and dividend income.

According to the question, the following taxpayers must file Schedule B with their 2022 tax return:Madison, who received $1,479 in interest from her money market account. The income from interest must be reported as a taxable income and is subject to income tax. The tax return form used to report the interest income is Schedule B. The interest income will be reported on the tax return as the taxpayer’s gross income.

The interest is classified as a passive income. The taxpayer must include all the interest income received during the year in the Schedule B form.Hannah, who secured interest from a bond she sold during the year. The interest earned by Hannah from the bond is subject to taxation.

This implies that Hannah must file Schedule B to report the interest earned from the sale of the bond as a taxable income. It will be reported on the tax return as the taxpayer’s gross income.

To know more about taxpayers visit:

https://brainly.com/question/31860339

#SPJ11

Find the indicated probabilities. If convenient, use technology or Table 2 in Appendix B.
Second-Hand Fashion Fourteen percent of consumers have tried to purchase clothing second-hand rather than new in the past year. You randomly select 11 consumers. Find the probability that the number who have tried to purchase second-hand rather than new clothing is (a) exactly one, (b) at most five, and (c) more than three. (Source: Fashion Revolution)
Workplace Drug Testing Five percent of the U.S. workforce test positive for illicit drugs. You randomly select 14 workers. Find the probability that the number who test positive for illicit drugs is (a) exactly two, (b) more than two, and (c) from two to five. (Source: Quest Diagnostics)

Answers

(a) For the second-hand fashion scenario: (a) The probability of exactly one consumer out of 11 having tried to purchase second-hand clothing can be calculated using the binomial probability formula.

Assuming independence and a success probability of 0.14 (14%), the calculation is as follows:

[tex]P(X = 1) = (11 choose 1) * (0.14)^1 * (0.86)^10 ≈ 0.3524[/tex]

Therefore, the probability that exactly one consumer out of the 11 selected has tried to purchase second-hand clothing is approximately 0.3524.

(b) To find the probability of at most five consumers, we sum the probabilities of having exactly zero, one, two, three, four, and five consumers:

[tex]P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

Using the binomial probability formula for each term and calculating the sum, we find the probability to be approximately 0.9887.

(c) To calculate the probability of more than three consumers, we can subtract the cumulative probability of having three or fewer consumers from 1:

[tex]P(X > 3) = 1 - P(X ≤ 3)[/tex]

Using the same approach as in part (b), the probability of more than three consumers is approximately 0.4537.

(a) The probability of exactly one consumer trying second-hand fashion is found by applying the binomial probability formula, considering the success probability and the number of trials.

(b) To find the probability of at most five consumers, we sum the probabilities of the individual cases where there are zero, one, two, three, four, or five consumers who have tried second-hand fashion.

(c) The probability of more than three consumers is calculated by subtracting the cumulative probability of having three or fewer consumers from 1. This gives us the probability of having four, five, six, seven, or more consumers who have tried second-hand fashion.

Learn more about purchase here:

https://brainly.com/question/32412874

#SPJ11

When a firm purchases supplies for use in its business, and the cost of the supplies purchased is recorded as an asset, the following adjustment to recognize the cost of supplies used will probably be required No adjustment will probably be required. Dr. Supplies C. Supplies expense De Supplies Ct Accounts payable De Supplies expense C. Supplies QUESTION 2 Retained earnings represents the total net income of the firm since its beginning cumulative net income of the firm since its beginning that has not been distributed to its stockholders in the form of dividends net income plus gains (or minus losses) on treasury stock transactions O cash that is available for dividends QUESTION 3 Assume that you own 1,500 shares of $10 par value common stock and the company has a 5for 1 stock split when the market price per share is $30 What will probably happen to the market price per share of the stock and the per value per share of the stock? Market price per share will be about $6 per share, and par value will be $50 por share Market price per share will be about $150 per share, and par value will be $2 per share,

Answers

The following adjustment to recognize the cost of supplies used will probably be required:

Code snippet

Dr. Supplies Expense

Cr. Supplies

Use code with caution. Learn more

This is because the cost of supplies used is an expense, and it should be recorded on the income statement. The supplies account is an asset, and it should be reduced to reflect the amount of supplies that have been used.

Question 2

Retained earnings represents the cumulative net income of the firm since its beginning that has not been distributed to its stockholders in the form of dividends. It is a component of the shareholder's equity section of the balance sheet.

Question 3

If you own 1,500 shares of $10 par value common stock and the company has a 5-for-1 stock split, you will now own 3000 shares of $2 par value common stock. The market price per share of the stock will likely decrease, but it is impossible to say for sure how much it will decrease. The par value per share of the stock will remain at $2.

A stock split is a corporate action that divides the outstanding shares of a company into a larger number of shares. This increases the number of shares outstanding, but it does not change the total value of the company.

Learn more about recognize here:

https://brainly.com/question/29604839

#SPJ11

13. Using the present value tables, calculate the selling price of the bonds. • $500,000
• $545,249
• $462,808
• $473,679 • Some other amount. PART 2 - BONDS Eastern Utilities Corporation issues $500,000 of 10 -year, 5 percent bonds. Interest is paid semiannually. The market interest rate for similar investments is 6 percent.

Answers

The selling price of the bonds is $462,808.

Bond's Face value = $500,000

Market interest rate = 6%

Time period = 10 years, semiannually

Thus, the number of semi-annual periods is 2 * 10 = 20.

Semi-annual interest rate = Market interest rate / 2= 6/2= 3%

Now, calculate the present value of the bond's future cash flows using the following formula:

PVA = C × [(1 − [tex](1 + r)^{-n}[/tex]) / r] + FV × [tex](1 + r)^{-n}[/tex]

where

PVA= Present value

C = periodic payment

FV= Future value

r = interest rate per period

n = total number of periods

Part 1

Calculation of the periodic payment of bond's cash flow:

Face value of bond= $500,000

Coupon rate= 5%

Semi-annual payment = (5/2)% × $500,000= $12,500

Calculation of the selling price of the bond using a 6% market rate of interest:

Using the present value tables, calculate the selling price of the bonds.= $462,808

The given 10-year 5% bonds of the Eastern Utilities Corporation having a face value of $500,000 and are issued with a semi-annual payment of 5%/2= 2.5% on the face value for 10 years, which makes 20 semi-annual periods.

The market interest rate for similar investments is 6%.

The present value of future cash flow should be calculated using the given information and formula.

Using the present value tables, the selling price of the bonds is calculated as follows:

PVA = C × [(1 − [tex](1 + r)^{-n}[/tex]) / r] + FV × [tex](1 + r)^{-n}[/tex]

PVA = $12,500 x [(1-[tex](1 + 0.3)^{-20}[/tex])/(.03)] + 500,000 x [tex](1 + 0.3)^{-20}[/tex]= $462,808

Therefore, the answer is $462,808.

Learn more about The market interest rate: https://brainly.com/question/24207349

#SPJ11

How do you see the determinants of price elasticity of demand
impacting the price elasticity of demand for doughnuts?

Answers

The concept of price elasticity of demand determines the impact of the change in price on the quantity demanded of a product or service. It explains the effect of price changes on the consumer's willingness and ability to purchase goods and services.Various factors determine the price elasticity of demand, including product substitutes, income levels, availability of close substitutes, and consumer preferences.

The following is how I see the determinants of price elasticity of demand impacting the price elasticity of demand for doughnuts:1. Substitutes: If there are many substitutes for doughnuts, then the price elasticity of demand is likely to be high. This is because if the price of doughnuts increases, customers are likely to switch to substitutes, such as muffins or cookies. The result is a decline in demand for doughnuts, and the elasticity of demand will be greater than 1.2. Income levels: If the price of doughnuts increases, those with a lower income level are likely to be impacted more. The reason being that for those with a lower income, the elasticity of demand will be higher.

Consumer preferences: If customers are loyal to a specific brand of doughnuts, then the price elasticity of demand will be low. This is because even if the price of the product increases, customers may not switch to alternatives due to their loyalty. In conclusion, the price elasticity of demand for doughnuts is impacted by various determinants. These determinants affect the customer's willingness and ability to purchase the product, hence affecting the elasticity of demand.

To know more about elasticity visit:

https://brainly.com/question/3099943 12

SPJ111

In relation to employment law, condonation on the part of the employer will have the effect of
Question 4 options:
allowing the employer to fire an employee
preventing the employer from disciplining an employee
increasing the reasonable notice period for terminating an employee
----------
What is the difference between a bankrupt debtor and an insolvent debtor?
Question 5 options:
bankruptcy is a legal status ordered by a court when a debtor is insolvent
the insolvent debtor no longer controls their assets & debts
there is no difference
insolvency is a legal status ordered by a court
--------------------------------------
Marne's contract states her employment arrangement is for one year, while Brelle's contract is silent on that point. If they both want to leave their positions after one year, in what way are Marne's employment obligations different from Brelle's?
Question 6 options:
Brelle must give reasonable notice of termination.
Marne must give notice of termination.
Marne is an independent contractor.

Answers

In relation to employment law, condonation on the part of the employer will have the effect of preventing the employer from disciplining an employee.

Condonation occurs when an employer is aware of employee misconduct but does nothing to prevent or take action against the behaviour.

The employer, in essence, accepts or condones the employee's behaviour by ignoring it.

This means the employer cannot later rely on that conduct to discipline the employee, as the behaviour has been overlooked or excused by the employer.

The difference between a bankrupt debtor and an insolvent debtor is that bankruptcy is a legal status ordered by a court when a debtor is insolvent. Insolvency means that a debtor is unable to pay his debts as they become due.

A bankrupt debtor has filed for bankruptcy, whereas an insolvent debtor may not have taken that step yet.

In either case, the debtor is unable to pay their debts and may be forced to declare bankruptcy to resolve their financial difficulties.

If Marne's contract states her employment arrangement is for one year while Brelle's contract is silent on that point, Marne's employment obligations are different from Brelle's in that Marne must give notice of termination.

If both Marne and Brelle wish to leave their positions after one year, Marne will have to provide notice of termination in accordance with the terms of her employment agreement.

Brelle, on the other hand, may be required to provide reasonable notice of termination even if their contract is silent on the matter.

Know more about employment law here:

https://brainly.com/question/26463698

#SPJ11

Evaluate how the following situations will affect the demand curve for iPods .

A. Income statistics show that the income of 18–25-year-old citizens has increased by 10 percent over the last year.
B. Believing that it has significant control of the portable digital music players market, Apple decides to raise the price of iPods to increase profits.
C. The price of movie tickets decreases.

Answers

A. The increase in income of 18-25-year-old citizens by 10 percent over the last year would likely have a positive effect on the demand curve for iPods. As income rises, individuals tend to have more purchasing power, enabling them to afford higher-priced goods.

In this case, with a higher income, the demand for iPods may increase as consumers in this age group have more disposable income to allocate towards purchasing electronic devices like iPods. This would result in a shift of the demand curve to the right, indicating an increase in demand.

B. If Apple decides to raise the price of iPods with the belief that it has significant control over the portable digital music players market, it could potentially have a negative impact on the demand curve. Increasing the price of iPods would likely lead to a decrease in demand, as consumers may find the higher price less favorable and seek alternatives. This would cause a leftward shift of the demand curve, indicating a decrease in demand.

C. The decrease in the price of movie tickets would not directly affect the demand curve for iPods. While it may influence consumers' overall budget allocation and disposable income, the price decrease of movie tickets does not have a direct relationship with the demand for iPods. Other factors, such as income, preferences, and prices of related goods, would have a more significant impact on the demand for iPods. Therefore, the demand curve for iPods is unlikely to be directly affected by the decrease in movie ticket prices.

To learn more about income

https://brainly.com/question/28390284

#SPJ11

A roofing company collects payment when jobs are complete. The work for one customer, at a price of $4,600, has been completed as of December 31, but the customer has not yet paid for the job.
What is the adjusting entry the company would need to make on December 31?

Answers

In an adjusting entry, revenues or expenses are recognized in the income statement. This is to match the revenue and expense transactions with the correct accounting period.

In the case of this roofing company, the work has been completed, but the payment has not yet been collected. Therefore, the adjusting entry would be to record the amount of work completed as revenue even though the payment has not yet been collected.

Here's the adjusting entry the company would need to make on December 31:Revenue: $4,600Accounts receivable: $4,600The company would record $4,600 as revenue earned as of December 31, and would also record $4,600 as an account receivable as of December 31.

This means that the company is entitled to receive the payment of $4,600 from the customer. Since the payment has not yet been received, the amount is considered an account receivable until it is collected from the customer.

Therefore, this adjusting entry would increase the company's revenue and increase its accounts receivable by the same amount.

To know more about expenses visit:

https://brainly.com/question/29850561

#SPJ11

suppose it were proved that liquidity traps do not occur and that investment is not interest insensitive. would this be enough to disprove the claim that expansionary monetary policy is not always effective at changing real gdp? why or why not

Answers

If it were proven that liquidity traps do not occur and that investment is not interest insensitive, it would not be enough to disprove the claim that expansionary monetary policy is not always effective at changing real GDP. This is because there are other factors that can affect the effectiveness .

Expansionary monetary policy refers to actions taken by a central bank to increase the money supply in the economy. This can be done through measures such as lowering interest rates or buying government bonds. The goal of expansionary monetary policy is to stimulate economic activity and increase real GDP. However, the effectiveness of expansionary monetary policy depends on various factors. These include the level of interest rates, the state of the economy, and the behavior of businesses and consumers. Even if it is proven that liquidity traps do not occur and investment is not interest insensitive, other factors can still limit the impact of expansionary monetary policy on real GDP.

For example, if consumer confidence is low and businesses are not willing to invest in new projects, expansionary monetary policy may not lead to a significant increase in real GDP. Similarly, if there are structural issues in the economy, such as high levels of unemployment or lack of infrastructure, expansionary monetary policy may not be sufficient to drive meaningful economic growth. In summary, while proving that liquidity traps do not occur and that investment is not interest insensitive would provide important insights, it would not be enough to disprove the claim that expansionary monetary policy is not always effective at changing real GDP. Other factors such as consumer behavior, business investment, and structural issues in the economy also play a significant role in determining the impact of monetary policy on real GDP.

To know more about liquidity traps visit :

https://brainly.com/question/32966733

#SPJ11

to be effective, what three qualities does a selling proposition in an advertising campaign need to have?

Answers

To be effective, the three qualities that a selling proposition in an advertising campaign need to have are a. describing the target, b. Explaining the product feature and c. explain how the problem can be solve.  

a-Describe the target market in the advertising campaign so that customers may tell when they view the advertisement that the products or services are for them.

b-Explain the distinguishing feature that sets your product or service apart from the competition. This could be excellent quality, low cost, colour design, added feature, and so on. c-Explain the problem that can be solved, which implies that your selling proposition should include a theme or tale that will help the target audience understand that this solution can solve their problem. If the product is incapable of doing so, why would buyers buy it?

Learn more about campaign, here:

https://brainly.com/question/29707776

#SPJ4

Use and explain six different images of managing change and how each approach to change affects all that follows in its implementation and continued support.
Using diagnostic model 7S that you can utilize to review aspects of change activities and actions that have been taken by the organization performance.
An important part of any change project is how the change is communicated to the organization, to the change agents, to the line workers, to the customers, and to the public. Explain in your paper how the company handled communicating the change to its stakeholders.

Answers

Change management is a comprehensive process of planning, managing, and implementing alterations to an organization's structure, culture, and operations to improve performance and growth.

Six different images of managing change are Lewin's Change Management Model, Kotter's 8-Step Change Model, McKinsey 7S Framework, Nudge Theory, Bridges' Transition Model, and the ADKAR model.

Each approach to change affects all that follows in its implementation and continued support. Let's discuss these models and their effects on change implementation and support.1. Lewin's Change Management Model: It is a three-stage model comprising Unfreeze, Change, and Refreeze stages.

Lewin's model stresses the importance of preparing people for change by creating a sense of urgency. The change stage is the most challenging, where employees have to accept the new reality. Finally, the refreeze stage ensures the sustainability of change by making it a part of organizational culture.

2. Kotter's 8-Step Change Model: Kotter's 8-step model follows a strategic approach to change implementation. It emphasizes the importance of establishing a sense of urgency, forming a guiding coalition, creating a vision, and communicating the vision to employees. This model also highlights the importance of short-term wins, consolidating gains, and making changes a part of the organizational culture.

3. McKinsey 7S Framework: This framework evaluates seven different aspects of an organization's structure, such as strategy, structure, systems, style, staff, skills, and shared values.

To know more about planning visit:

https://brainly.com/question/32363096

#SPJ11

1. Classify each of the following annuities by the date of payment and conversion period: a. Regular contributions of $200 are made at the end of each month for five years into a savings account caming interest at 4% compounded quarterly. b. You start to save for a major purchase. You can invest $329 every three months starting today for 5 years and 9 months. You are able to eam 5.87% compounded semi-annually. c. Monthly payments of $100.00 made at the end of each month for ten years earning interest at 12% p.a. compounded monthly. d. Steve deposited $600.00 in a trust account on the day of his son's birth and every three months thereafter in order to plan and pay for his son's higher education. If interest paid is 7.2% compounded quarterly. e. A dealer sold a car to Kristy for $2000 down and monthly payments of $259.50 for 3.5 years, including interest at 7.5% compounded annually. f. Sofia plans to save for next two years. She plans toput away $1000 every 6 months starting 6 months from now and her savings accounts carns at a rate of 8% compounded semiannually. g. A lease requires payments of $1200.00 at the beginning of every quarter for ten years, If interest is 6% compounded monthly. h. A vacation property was bought by making semi-annual payments of $7500.00 for seven years. If the first payment is due on the date of purchase and interest is 6% p.a. compounded quarterly. i. Payments of $500.00 are made at the beginning of each month for four years. The interest rate is 4.5% compounded monthly. j. The loan will have a term of 54 months and monthly payments of $385.13. The interest rate on the loan is 8.84% compounded quarterly.

Answers

a. Regular contributions of $200 are made at the end of each month for five years into a savings account caming interest at 4% compounded quarterly: These are regular payments of equal amounts. This is an ordinary annuity since the payments are made at the end of each period, and the conversion period is quarterly.

b. Monthly payments of $100.00 made at the end of each month for ten years earning interest at 12% p.a. compounded monthly: These are regular payments of equal amounts. This is an ordinary annuity since the payments are made at the end of each period, and the conversion period is monthly.

c.This is an annuity due since payments are made at the beginning of each period. The conversion period is quarterly. i. Payments of $500.00 are made at the beginning of each month for four years. The interest rate is 4.5% compounded monthly:These are regular payments of equal amounts. This is an annuity due since payments are made at the beginning of each period. The conversion period is monthly.

d. The loan will have a term of 54 months and monthly payments of $385.13. The interest rate on the loan is 8.84% compounded quarterly:These are regular payments of equal amounts. This is an annuity due since payments are made at the beginning of each period. The conversion period is quarterly.

To know more about conversion visit :

https://brainly.com/question/9414705

#SPJ11

If the Federal Open Market Committee (FOMC) purchases government bonds priced at $14,000 from a bond dealer who banks at National Bank, and if the reserve requirement is 2 percent, then the excess reserves of National Bank: Group of answer choices
increase by $280.
increase by $2,800.
increase by $11,200.
increase by $13,720.
increase by $14,000.

Answers

If the Federal Open Market Committee (FOMC) purchases government bonds priced at $14,000 from a bond dealer who banks at National Bank, and if the reserve requirement is 2 percent,

then the excess reserves of National Bank would increase by $13,720. Here's why:

The Federal Open Market Committee (FOMC) is the monetary policy-making body of the Federal Reserve System in the United States.

To know more about Federal visit;

https://brainly.com/question/1951874

#SPJ11

Which of the following would be considered a state of nature? A> poor market B> build a small plant C> Maximax D> Decisions Under Certainty

Answers

A state of nature is an event or situation where the decision-maker has no control over the outcome. It refers to an event or situation that is beyond human control.

An example of a state of nature would be an earthquake, a flood, or a hurricane.

The decision-maker has no control over the occurrence of the event or its outcome.

This means that the decision-maker must make decisions under conditions of uncertainty.

Thus, the correct answer is D. Decisions Under Certainty.

Under certainty, a decision-maker is aware of all the possible outcomes and probabilities associated with each alternative.

Therefore, the decision-maker can accurately predict the outcome of each alternative and select the one with the highest expected value.

Under certainty, the decision-maker does not need to make any assumptions or guesses.

They have complete information on which to base their decision.

Thus, this decision-making environment is the simplest of the four types of decision-making environments.

To know more about human control visit:

https://brainly.com/question/2221872

#SPJ11

The following financial statements and additional information are reported. ICHIBAN INCORPORATED Comparative Balance Sheets At June 30 2021 2020 Assets Cash $ 84,500 $ 49,000 Accounts receivable, net 72,500 56,000 Inventory 68,800 94,000 Prepaid expenses 4,900 6,400 Total current assets 230,700 205,400 Equipment 129,000 120,000 Accumulated depreciation—Equipment (29,500) (11,500) Total assets $ 330,200 $ 313,900 Liabilities and Equity Accounts payable $ 30,000 $ 37,500 Wages payable 6,500 16,000 Income taxes payable 3,900 4,800 Total current liabilities 40,400 58,300 Notes payable (long term) 31,000 65,000 Total liabilities 71,400 123,300 Equity Common stock, $5 par value 230,000 165,000 Retained earnings 28,800 25,600 Total liabilities and equity $ 330,200 $ 313,900 IKIBAN INCORPORATED Income Statement For Year Ended June 30, 2021 Sales $ 703,000 Cost of goods sold 416,000 Gross profit 287,000 Operating expenses (excluding depreciation) 72,000 Depreciation expense 63,600 151,400 Other gains (losses) Gain on sale of equipment 2,500 Income before taxes 153,900 Income taxes expense 44,390 Net income $ 109,510 Additional Information A $34,000 note payable is retired at its $34,000 carrying (book) value in exchange for cash. The only changes affecting retained earnings are net income and cash dividends paid. New equipment is acquired for $62,600 cash. Received cash for the sale of equipment that had cost $53,600, yielding a $2,500 gain. Prepaid Expenses and Wages Payable relate to Operating Expenses on the income statement. All purchases and sales of inventory are on credit. Using the direct method, prepare the statement of cash flows for the year ended June 30, 2021.

Answers

To prepare the statement of cash flows using the direct method, we need to categorize the cash flows into three main sections: operating activities, investing activities, and financing activities. Let's go through each section based on the provided information:

1. Operating Activities:

  - Cash received from customers: Sales - Increase in accounts receivable

     = $703,000 - ($72,500 - $56,000) = $686,500

  - Cash paid for inventory: Increase in inventory - Cost of goods sold

     = $68,800 - $416,000 = -$347,200 (negative because it's an outflow)

  - Cash paid for operating expenses: Operating expenses - Decrease in prepaid expenses + Increase in wages payable

     = $72,000 - ($4,900 - $6,400) + ($16,000 - $6,500) = $81,000

  - Cash paid for income taxes: Income taxes expense

     = $44,390

2. Investing Activities:

  - Cash received from the sale of equipment: Gain on sale of equipment

     = $2,500

  - Cash paid for the acquisition of new equipment: -$62,600 (negative because it's an outflow)

3. Financing Activities:

  - Cash received from the retirement of note payable: $34,000

  - Cash paid for cash dividends: Not given in the provided information, so we assume there were no cash dividends paid.

Now, let's summarize the cash flows in the statement of cash flows format:

Learn more about  Cash here:

https://brainly.com/question/32508776

#SPJ11

a price index is designed to measure a. changes in the quantity of output produced across time periods. b. the market value of output produced during the current period with the value of output produced during an earlier time period. c. the cost of buying a market basket of goods at a point in time relative to the cost of buying the same market basket during an earlier time period. d. changes in the general level of employment across time periods.

Answers

A price index is designed to measure the changes in the cost of buying a market basket of goods at a specific point in time relative to the cost of buying the same market basket during an earlier time period. This means that a price index helps us understand how the prices of goods and services have changed over time.
So, the correct answer is: C


For example, let's say you want to compare the cost of a specific set of goods, like a basket containing milk, bread, and eggs, between two years. The price index would allow you to see how the cost of buying this basket has changed from one year to another. If the price index for the second year is higher than the price index for the first year, it means that the cost of the basket has increased. On the other hand, if the price index for the second year is lower, it means that the cost has decreased.

By using a price index, economists can track inflation, which is the general increase in prices over time. It helps policymakers and businesses make informed decisions by understanding how prices have changed and how it may affect consumers' purchasing power. The cost of buying a market basket of goods at a point in time relative to the cost of buying the same market basket during an earlier time period.

To know more about price index visit :

https://brainly.com/question/31119167

#SPJ11

What did Mathew Whitley, a mid-level Coca-Cola executive do? What were the consequences of his actions? What do you understand by ‘Channel Stuffing’? Why did Coca-Cola do it? What was the issue Coca-Cola faced related to racial discrimination? What did the company do to fix it? What are some of the steps Coca-Cola has taken to recover from these ethical dilemmas?

Answers

Matthew Whitley, a mid-level Coca-Cola executive, engaged in channel stuffing, which refers to the practice of inflating sales figures by pushing excessive inventory onto distributors.

This artificially boosts revenue but can lead to various negative consequences.

The consequences of Whitley's actions included misleading financial reports, potential legal repercussions, damage to the company's reputation, strained relationships with distributors, and a potential decrease in consumer trust.

Channel stuffing is an unethical practice that artificially inflates sales numbers by flooding the distribution channel with excess products. It is done to create the illusion of strong demand and meet sales targets. Companies may resort to channel stuffing to boost stock prices, secure bonuses, or impress investors.

Coca-Cola faced a racial discrimination issue when a former employee filed a lawsuit alleging a hostile work environment. The company was accused of discriminating against African American employees. To address this issue, Coca-Cola implemented measures such as diversity training, setting diversity and inclusion goals, and increasing transparency in its reporting.

To recover from these ethical dilemmas, Coca-Cola has taken steps such as enhancing its corporate governance, improving transparency and accountability, strengthening its compliance programs, promoting diversity and inclusion, and engaging in community initiatives to rebuild trust and demonstrate a commitment to ethical practices.

Learn more about distributors here:

https://brainly.com/question/31797443

#SPJ11

what can be defined as achieving a goal as cheaply as possible?

Answers

Achieving a goal as cheaply as possible can be defined as cost minimization.

Cost minimization refers to the strategy of minimizing expenses and reducing costs associated with achieving a particular goal or objective. It involves identifying and implementing measures to accomplish the desired outcome while utilizing the fewest resources and incurring the lowest possible expenses.
In the context of business and economics, cost minimization is often a key objective for companies seeking to maximize profitability. It involves optimizing resource allocation, streamlining processes, and identifying cost-saving opportunities throughout the value chain.
Cost minimization is a fundamental principle in various fields, including business, finance, operations management, and project management. By achieving a goal as cheaply as possible, organizations can enhance their competitiveness, increase profitability, and allocate resources efficiently.

To know more about, Cost Minimization, click here: https://brainly.com/question/10341197

#SPJ11

Other Questions
Generate circles of red, green and blue colors on the screen so that radius of the circle will be random numbers between 5 and 15. And 50% of chance a new ball will be red, 25% chance of it being green, 25% of it being blue. float x,y;//,radius;float p;float r;int red,green,blue;void setup(){size(400,400);background(255);r=random(5,10);}void draw(){x=random(0,width);y=random(0,height);p=random(1);//radius=random(10,25);if(p which of the following is a criticism of the family life cycle model shown in the chart? For all branches, explain and then give examples that show yourunderstanding of the topicWhat are the differences between needs and demands Inaddition, add: 5 Needs examples | 8 Demands -ex Define a class that can accumulate information about a sequence of numbers and calculate its average and Standard Deviation (STD).class Statistic{public:Statistic();void add(double x);double average() const;double STD() const;private:// private member data};For testing purposes, use the class to calculate the average and Standard Deviation of the sequence of number that you submitted to the first discussion.The class should be usable by any code that needs to accumulate statistics on a sequence of values. You never know when that need will arise. Perhaps sooner than you think! Hint: STD(X) = square root of { ( xi 2 - ( xi * xi / N) ) / ( N 1) }\ By 1812 the widespread cotton was now a major production in the United States. The people began to make use of the process called textile and farming moved to a powerful force of over a billion pounds a year and slave labor increased dramatically over time.b.The nineteenth-century unfolded, and more and more farm families began engaging in commercial rather than subsistence agriculture, producing surplus crops and livestock to sell to distant markets. Americans were forced to look to themselves for the finished goods and manufactured items they needed such as cotton mills.c.The first textile mills and shoe factories and mines began to be developed in the United States. Americans, men, and women worked according to a whistle or a foreman or a manager who told them when to get up when to go to work, when to finish and how much time they might have for lunch rather than getting up and going to work on the farms at their own schedules At year-end 2019, Wallace Landscapings total assets were $1.53 million, and its accounts payable were $330,000. Sales, which in 2019 were $2.1 million, are expected to increase by 30% in 2020. Total assets and accounts payable are proportional to sales, and that relationship will be maintained. Wallace typically uses no current liabilities other than accounts payable. Common stock amounted to $590,000 in 2019, and retained earnings were $300,000. Wallace has arranged to sell $150,000 of new common stock in 2020 to meet some of its financing needs. The remainder of its financing needs will be met by issuing new long-term debt at the end of 2020. (Because the debt is added at the end of the year, there will be no additional interest expense due to the new debt.) Its net profit margin on sales is 3%, and 50% of earnings will be paid out as dividends.What was Wallace's total long-term debt in 2019? Do not round intermediate calculations. Enter your answer in dollars. For example, an answer of $2 million should be entered as 2,000,000. Round your answer to the nearest dollar.What were Wallace's total liabilities in 2019? Do not round intermediate calculations. Enter your answer in dollars. For example, an answer of $2 million should be entered as 2,000,000. Round your answer to the nearest dollar.How much new long-term debt financing will be needed in 2020? (Hint: AFN - New stock = New long-term debt.) Do not round intermediate calculations. Please help on question asap if you are correct with answer I'll give brainlie st, a thanks and five stars.When we have a trapezium and w e are finding out the area , would it be possible to have a radius\diameter in the trapezium or is that just for 3D shapes penicillins are typically effective against gram-positive bacteria, but are less effective against gram-negative bacteria. this is because the cell walls of gram-positive bacteria are relatively thin and composed primarily of peptidoglycan, which is the target of penicillins Green plants use light from the Sun to drive photosynthesis. Photosynthesis is a chemical reaction in which water ( .{H}_{2} {O}) and carbon dioxide ({CO} Which of the following are the lens-shaped pieces of tissue that are produced in cups ona liverwort thallus and become detached to develop independently?A)protonemataB)gemmaeC)"leaves"D)budsE)None of these answers are correct. which of the following clinical findings is consistent with a patient who is struggling to breathe? All of the following contributed to epidemics, disease, and high mortality rates in the growing cities EXCEPT:overflowing garbage.untreated sewage.the banishment of animals to outside city limits.contaminated water.overcrowding. A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were:y=ax+ba=-1.072b=22.446r2=0.383161r=-0.619 A person's blood pressure varies sinusoidally with each heartbeat. Maxi- mum pressure is when the heart contracts, and is called systolic pressure. Minimum pressure is when the heart relaxes, and is called diastolic pressure. Blood pressure is measured in millimeters of mercury (mmHg). Now, suppose that at a time t seconds after the start of a blood pressure measurement, a person's blood pressure is given by P(t)=18sin((3/2)t)+100mmHg. (a) What is the person's systolic pressure? (b) What is the person's diastolic pressure? (c) What is the person's number of heartbeats per minute? (d) Write down a function of the form Acos(B(tC))+D that is identical to P(t). (e) Find the rate at which blood pressure is changing at t=2 seconds in mmHg per second. Future Value of an Annuity for Various Compounding Periods Find the future values of the following ordinary annuities. FV of $200 each 6 months for 10 years at a nominal rate of 12%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $ FV of $100 each 3 months for 10 years at a nominal rate of 12%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $ The annuities described in parts a and b have the same amount of money paid into them during the 10-year period, and both earn interest at the same nominal rate, yet the annuity in part b earns more than the one in part a over the 10 years. Why does this occur? Assume that two customers, A and B, are due to arrive at a lawyer's office during the same hour from 10:00 to 11:00. Their actual arrival times, which we will denote by X and Y respectively, are independent of each other and uniformly distributed during the hour. (a) Find the probability that both customers arrive within the last fifteen minutes. (b) Find the probability that A arrives first and B arrives more than 30 minutes after A. (c) Find the probability that B arrives first provided that both arrive during the last half-hour. Consider the experiment where you pick 3 cards at random from a deck of 52 playing cards ( 13 cards per suit) without replacement, i.e., at each card selection you will not put it back in the deck, and so the number of possible outcomes will change for each new draw. Let D idenote the event the card is diamonds in the i th draw. Build a simulation to compute the following probabilities: 1. P(D 1) 2. P(D 1D 2) 3. P(D 1D 2 D 3) 4. P(D 3D 1D 2) Note: to sample from a set without replacement, consider use the function numpy. random. choice by controling the parameter replace. 2. Indicate whether the following statements are true or false. If the statement is false explain why.a)You must report income from tips.b) Only a student can claim a credit for tuition fees.c) If you invest money in an RRSP, you will never have to pay taxes on this amount.d) If you pay for child care, you can claim this amount on your return to lower the amount you owe in taxes. 1.) Write Integers to a File This time build a class WriteInts. This class, when instantiated, will create a new file and write an array of integers to this new file. All the code to write the data to the file goes in the Constructor.[i.e. // This code goes in main()int myArr[] = {16, 31, 90, 45, 89};WriteInts wi = new WriteInts("mydata.dat", myArr); ]2.) Read Integers from a File This time build a class ReadInts. This class, when instantiated, will read the integers from the file given, and print them to the Console. All the code to write the data to the file goes in the Constructor.[i.e. // This code goes in main()ReadInts ri = new ReadInts("mydata.dat"); ]3.) Write a String to a File using PrintStream This time build a class WriteString. This class, when instantiated, will write a string to a file by using a PrintStream object connected to a FileOutputStream Object.[i.e. // This code goes in main()WriteString ws = new WriteString("f1.txt","Hello world");] . In early 2018, Abercrombie & Fitch (ANF) had a book equity of $1250 million, a price per share of $22.48 and 68.4 million shares outstanding. At the same time, The GAP had a book equity of $3140 million, a share price of $31.74 and 389 million shares outstanding. 7 marksa. What is the market-to-book ratio of each of these retailers?b. What conclusions can you draw by comparing the two ratios?