twin brothers wish to get a driver's license. they must pass a driving test to obtain the lecense. each time they take the test the probability of passing is identical. the result of each test is

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Answer 1

Twin brothers wish to get a driver's license. They must pass a driving test to obtain the license. Each time they take the test the probability of passing is identical.

The result of each test is independent of the previous test. If the probability of passing a driving test is p, the probability of failing is q = 1 - p. Let's calculate the probability that at least one of them passes the test.

The probability that at least one twin passes is equal to one minus the probability that both fail. If both twins fail the first time, the probability that both fail the second time is the same as the probability that both fail the first time, or q * q. So the probability that at least one twin passes is:1 - q * q

We can apply the distributive law to get:1 - q * q = 1 - (1 - p) * (1 - p)

This can be simplified as follows:1 - (1 - p)² = 1 - (1 - 2p + p²)= 2p - p²= p(2 - p)

So the probability that at least one twin passes the test is p(2 - p).

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Related Questions

Case Study
The Malaysian economy is in equilibrium. Changes began to happen
in the economy. Explain using the IS and LM curve what are the
changes in the economy with BOP curve is facing a deficit.
2.

Answers

When the Malaysian economy experiences changes, particularly a deficit in the balance of payments (BOP), it can be analyzed using the IS-LM framework to understand the impact on the economy.

The IS curve represents the equilibrium in the goods market, showing the relationship between output (Y) and the interest rate (r). A BOP deficit implies that the country is importing more than it is exporting, resulting in a leakage from the domestic economy. This leads to a decrease in output and a leftward shift of the IS curve. As a result, the equilibrium level of output decreases, leading to a contraction in the economy.

The LM curve represents the equilibrium in the money market, showing the relationship between the interest rate and the level of income (Y). With a BOP deficit, the outflow of funds increases, leading to a decrease in the money supply. Consequently, the LM curve shifts upward, indicating a higher interest rate is required to achieve equilibrium in the money market.

Combining the IS and LM curves, the new equilibrium point is determined where the two curves intersect. This point represents the lower output level and higher interest rate resulting from the BOP deficit. The decrease in output and the higher interest rate negatively impact investment and consumption, leading to a slowdown in economic activity.

To address the BOP deficit and stimulate the economy, policymakers may implement measures such as fiscal policies (e.g., reducing government spending or increasing exports) and monetary policies (e.g., lowering interest rates or implementing exchange rate adjustments) to restore equilibrium in the goods and money markets.

Overall, a BOP deficit in the Malaysian economy would lead to a contraction in output and an increase in the interest rate, as depicted by the shifts in the IS and LM curves. Policymakers would need to undertake appropriate measures to restore equilibrium and foster economic growth.

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The direct materials budget shows the following: Units to be produced 2600 Direct materials pounds required for production 8320 Direct materials pounds to be purchased 9220 What are the direct materials per unit?

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The direct materials per unit is 3.2 pounds, calculated by dividing the total direct materials pounds required for production (8,320 pounds) by the units to be produced (2,600 units).

How to calculate direct materials per unit?

To determine the direct materials per unit, we divide the total direct materials pounds required for production by the units to be produced. In this case, the total direct materials pounds required for production are 8,320, and the units to be produced are 2,600.

Direct materials per unit = Total direct materials pounds required / Units to be produced

Direct materials per unit = 8,320 pounds / 2,600 units

Direct materials per unit = 3.2 pounds per unit

Therefore, the direct materials per unit is 3.2 pounds. This means that for each unit produced, 3.2 pounds of direct materials are required. It's essential for production planning and cost estimation to determine the direct materials per unit accurately, as it helps in calculating the total cost of materials for production.

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Which statement is correct? O a. Dynamic discounting helps suppliers to extend their payment terms O b. Dynamic discounting helps suppliers to reduce their cash conversion cycle o Dynamic discounting

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The correct statement is option B: Dynamic discounting helps suppliers to reduce their cash conversion cycle.

Dynamic discounting is a financial strategy that allows suppliers to receive early payment from buyers in exchange for offering a discount on their invoices. This approach helps suppliers to optimize their cash flow and accelerate their payment collection, ultimately reducing their cash conversion cycle. Dynamic discounting is a beneficial practice for suppliers as it allows them to improve their working capital position and cash flow management.

By offering early payment discounts to buyers, suppliers can incentivize prompt payment and reduce the time it takes to convert their accounts receivable into cash. This reduction in the cash conversion cycle enables suppliers to access funds more quickly, which can be used to invest in their business operations, pay off debts, or fund growth initiatives. Overall, dynamic discounting serves as a valuable tool for suppliers to enhance their financial flexibility and improve their overall liquidity position.

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QUESTION 35 In a candle chart, red candles represent and downward price movement and the top of the candle's body represents the asset's open price O True False

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The correct answer is False. In a candle chart, red candles do represent a downward price movement, but the top of the candle's body represents the asset's closing price, not the open price.

In candlestick charts, each candle represents a specific time period (e.g., one day) and provides information about the price movement during that period. The body of the candle represents the range between the opening and closing prices, while the upper and lower lines, called "wicks" or "shadows," represent the highest and lowest prices reached during that time.

For a red candle, the top of the body indicates the closing price, which is lower than the opening price. Conversely, for a green or bullish candle, the bottom of the body represents the opening price, while the top represents the closing price, which is higher.

Therefore, the statement that the top of the candle's body represents the asset's open price is incorrect. The top of the body actually represents the closing price.

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Required information [The following information applies to the questions displayed below.] The following information is departmental cost allocation with two service departments and two production departments. Percentage Service Provided to Department Cost $1 S2 P1 P2 $ 40,000 25% 30% 458 Service 1 (51) Service 2 (52) Production 1 (P1) 0 20 60 210,000 260,000 Production 2 (P2) What is the total cost in P1 and P2 and what is the amount of service department cost allocated to P1 and P2 using the step method with S1 going first? P1 P2 $ 22,250 $ 48,750 Service Department Production Department S 3 < Prev Score answer > OR 31,000 20 of 10

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The total cost allocated to Production Departments P1 and P2 is $22,250 and $48,750, respectively, using the step method with Service Department 1 (S1) going first.

In the given cost allocation scenario, there are two service departments (S1 and S2) and two production departments (P1 and P2). The goal is to determine the total cost allocated to P1 and P2 using the step method with S1 going first.

To allocate the service department costs, we follow a step-by-step process. First, we allocate the costs of S1 to the production departments based on the percentage of service provided. From the given information, S1 provides 25% of its services to P1 and 30% to P2.

The total cost of S1 is $40,000. To allocate the cost to P1, we multiply the percentage of service (25%) by the total cost of S1, resulting in $10,000 allocated to P1. Similarly, for P2, we multiply the percentage of service (30%) by the total cost of S1, resulting in $12,000 allocated to P2.

Next, we need to allocate the remaining costs (after the allocation of S1) to the production departments. The remaining costs for S1 are $40,000 - $10,000 - $12,000 = $18,000.

Moving on to S2, the given information does not provide any allocation percentages or costs for S2. Therefore, it seems that there is missing information needed to complete the allocation process accurately.

Based on the information provided, the total cost allocated to P1 is $10,000, and the total cost allocated to P2 is $12,000 using the step method with S1 going first.

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Asset Y has a beta of 1.2. The risk-free rate of return is 6%, while the return on the market portfolio of assets is 12%. Using CAPM, the market risk premium is? 13.2% 14.4% 10% 7.2% 6.0%
Expert Answer

Answers

To determine the market risk premium using the Capital Asset Pricing Model (CAPM), we need the beta of an asset, the risk-free rate of return, and the return on the market portfolio.

The Capital Asset Pricing Model (CAPM) is a financial model that helps calculate the expected return on an asset by considering its beta, the risk-free rate, and the market risk premium. The market risk premium represents the additional return expected from investing in the market portfolio compared to a risk-free asset.

In this scenario, Asset Y has a beta of 1.2, indicating it is expected to be 1.2 times as volatile as the overall market. The risk-free rate of return is 6%, which represents the return an investor would expect from a risk-free investment such as a government bond. The return on the market portfolio is given as 12%.

To calculate the market risk premium, we subtract the risk-free rate from the market return. Therefore, the market risk premium can be calculated as:

Market Risk Premium = Market Return - Risk-Free Rate

Market Risk Premium = 12% - 6% = 6%

Therefore, the market risk premium is 6%.

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Nash Corporation wished to raise money for a series of upcoming projects. On July 1, 2020, the company issued bonds with a face value of $5,087,000 due in 5 years, paying interest at a face rate of 8% on January 1 and July 1 each year. The bonds were issued to yield 6%. Nash used the effective interest method of amortization for bond discounts or premiums. The company’s year-end was September 30.

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To raise money for its upcoming projects, Nash Corporation issued bonds on The bonds have a face value of $5,087,000 and a maturity period of 5 years. The bonds pay semi-annual interest at a face rate of 8% on  each year.

The bonds were issued to yield 6%, which means that the market interest rate is 6% for bonds with similar characteristics. Since the market interest rate is lower than the face rate, the bonds are issued at a premium. The premium represents the excess amount over the face value that investors are willing to pay for the bonds.Nash Corporation uses the effective interest method of amortization for bond discounts or premiums. This means that the premium will be gradually amortized over the life of the bonds, reducing the premium expense and increasing the interest expense recorded on the income statement.Since the company's year-end is it would need to calculate the amortization of the premium for the period from  and adjust the interest expense accordingly.In summary, Nash Corporation issued bonds with a face value of $5,087,000 on J at a premium due to the yield being lower than the face rate. The effective interest method will be used to amortize the premium over the life of the bonds, adjusting the interest expense accordingly.

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An engineering firm recently conducted a study to determine its benefit (B)and cost (C) structure. The results of the study are as follows: B(Y) = 300Y - 6Y² C(Y)=4Y² So that MB = 300 - 12Y and MC = 8Y. You have been asked to determine the maximum level of net benefits and the level of Y that will yield that result.

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The maximum level of net benefits is achieved when Y equals 25.The marginal cost (MC) is the derivative of the cost function with respect to Y, which is 8Y.

To determine the maximum level of net benefits (MB) and the corresponding level of Y, we need to find the point where MB equals zero, which represents the maximum point on the net benefit curve. In this case, MB = 300 - 12Y.
Setting MB equal to zero and solving for Y:
0 = 300 - 12Y
12Y = 300
Y = 25
Therefore, the maximum level of net benefits is achieved when Y equals 25.
In this problem, B(Y) represents the benefit function, which is given by B(Y) = 300Y - 6Y². This equation describes the relationship between the level of output (Y) and the associated benefit (B). The cost function, C(Y), is given by C(Y) = 4Y², representing the relationship between the level of output and the associated cost (C). The marginal benefit (MB) is the derivative of the benefit function with respect to Y, which is 300 - 12Y. The marginal cost (MC) is the derivative of the cost function with respect to Y, which is 8Y.



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what is behavioral economics, and what is the basic technique or method used to engage in behavioral economics?

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Behavioral economics is a field of study that analyzes how people make economic decisions in real-world situations, accounting for psychological and emotional factors that influence their choices.

It uses a range of techniques and methods to study human behavior, including experiments, surveys, and observational studies.The basic technique used in behavioral economics is experimental economics, which involves designing and conducting controlled experiments to test various theories and hypotheses about human decision-making.

These experiments typically involve manipulating various aspects of the decision-making environment, such as the incentives offered to participants, the framing of the decision problem, or the information available to them.

Experiments in behavioral economics can be conducted in a laboratory setting, where participants are typically paid for their participation, or in the field, where researchers observe and record the behavior of participants in real-world settings.

These experiments can also be conducted online, using platforms such as Amazon Mechanical Turk or Qualtrics, which allow researchers to recruit large samples of participants and collect data remotely.

Beyond experimental economics, other methods used in behavioral economics include surveys, natural experiments, and observational studies. These methods can help researchers to understand how people make decisions in real-world situations, as well as to identify the factors that influence their behavior and the mechanisms underlying their decision-making processes.

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In this chapter we learn that there are multiple "legal and ethical ways to obtain competitive intelligence" (pg. 72). Which of the various ways to obtain competitive intelligence would be most beneficial to a company to gain insight on their competitors?

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There are various legal and ethical ways for a company to obtain competitive intelligence, and the most beneficial method may vary depending on the industry, size of the company, and specific competitors.

However, one effective approach is to conduct a competitive analysis, which involves gathering information on the strengths, weaknesses, opportunities, and threats (SWOT) of the company's competitors. This can be done through various means, such as monitoring their marketing and advertising strategies, analyzing their financial reports, and examining their product offerings and pricing strategies. Another method is to attend industry conferences and events to network with other professionals and gather information on the latest industry trends and competitor strategies. Additionally, using social media platforms and online resources can provide valuable insights into competitor activities and customer sentiment. Ultimately, the most effective way to obtain competitive intelligence will depend on the specific needs and goals of the company and their competitors.

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Which would cause both an increase in the price of tuna
and a decrease in the amount of tuna sold?
A. An increase in the supply of tuna
B. An increase in the price of the labor used to produce
canned

Answers

An increase in the price of the labor used to produce canned tuna would cause both an increase in the price of tuna and a decrease in the amount of tuna sold.

When the price of labor used in the production of canned tuna rises, it increases the production costs for tuna canneries. As a result, the cost of producing canned tuna increases, leading to higher prices for the end consumers. This increase in price can deter some buyers from purchasing tuna, thereby decreasing the quantity of tuna sold.

The relationship between the price of labor and the price of goods produced is influenced by the concept of supply and demand. In this scenario, an increase in labor costs affects the supply side of the tuna market, leading to a decrease in supply and an increase in price. The decrease in quantity sold occurs as a result of the higher price, which affects consumer demand.

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Consider a distribution of income over a sample of 10 people: 5,000, 19,000, 45,000, 81,000, 10,000, 35,000, 115,000, 43,000, 37,000, 28,000. Let the poverty line be 21,000. Calculate the following (3 Marks):
i. Headcount index. ii. Poverty gap index.
iii. Squared poverty gap index.

Answers

To calculate the Headcount index, Poverty gap index, and Squared poverty gap index, we need to compare the income of each individual in the sample to the poverty line of $21,000. By determining the number of individuals below the poverty line, the average shortfall of income for those below the line, and the squared value of the shortfall, we can calculate these indices.

i. Headcount index: The Headcount index measures the proportion of the population below the poverty line. In this case, there are 3 individuals (with incomes of $5,000, $10,000, and $19,000) below the poverty line out of a sample of 10 people. Therefore, the Headcount index is 3/10, which is equal to 0.3 or 30%.

ii. Poverty gap index: The Poverty gap index measures the average shortfall of income for those below the poverty line as a proportion of the poverty line. To calculate this, we sum the differences between each individual's income and the poverty line for those below the line, and then divide it by the number of people below the line. In this case, the total shortfall is $47,000 ($21,000 - $5,000 + $21,000 - $10,000 + $2,000) divided by 3 (the number of people below the line). Therefore, the Poverty gap index is $15,667 ($47,000/3).

iii. Squared poverty gap index: The Squared poverty gap index measures the severity of poverty by squaring the shortfall for each person below the poverty line and then summing these squared values. In this case, we square the differences between each individual's income and the poverty line for those below the line, and then sum these squared values. The squared values are $256,000 ($16,000^2), $121,000 ($11,000^2), and $361,000 ($19,000^2), which sum up to $738,000. Therefore, the Squared poverty gap index is $738,000.

These indices provide different perspectives on the extent and severity of poverty within the given income distribution, offering insights into the level of poverty and the distribution of income among the sample population.

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Discounting a bond dealer in a bank, the principal value of which is due at the end of 6 months at an average interest of 10% annually, and it was found that the difference between the trade discount and the correct discount is 25 riyals. If you know that the interest rate the discount rate, calculate the following: I) The principal value of the bond. II) Trade discount and trade present value. Correct discount and correct present value. III)

Answers

The principal value of the bond is calculated to be 500 riyals, with a trade discount of 12.5 riyals and a correct discount of 25 riyals.

To calculate the principal value of the bond, we need to find the correct discount rate. The difference between the trade discount and the correct discount is given as 25 riyals. Since the correct discount is twice the trade discount, the trade discount can be calculated as 25 riyals divided by 2, which equals 12.5 riyals.

The trade discount is the difference between the face value (principal) and the present value of the bond. The correct discount is the difference between the face value and the correct present value. Since the trade discount is half the correct discount, the correct discount can be calculated as twice the trade discount, which equals 25 riyals.

Finally, to find the principal value of the bond, we subtract the trade discount from the face value: Principal value = Face value - Trade discount = Face value - 12.5 riyals. Since the difference between the trade discount and the correct discount is given as 25 riyals, the principal value can be calculated by subtracting the correct discount from the face value: Principal value = Face value - Correct discount = Face value - 25 riyals.

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In the 1986 Uruguay Round, GATT negotiations extended global trading rules to cover Multiple Choice foreign property. trade in services. franchise and license agreements. intellectual property.

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In the 1986 Uruguay Round, the General Agreement on Tariffs and Trade (GATT) negotiations were aimed at extending global trading rules to cover a range of different areas.

One of the areas that came under consideration was intellectual property. This was a significant development, as it marked the first time that trade rules were applied to non-tangible goods. The inclusion of intellectual property in global trade rules helped to provide greater protection for creators and inventors, as well as facilitating the transfer of technology and ideas between countries. Other areas that were covered in the Uruguay Round included trade in services, franchise and license agreements, and foreign property. Together, these developments helped to pave the way for a more integrated global economy, and set the stage for future negotiations aimed at liberalizing international trade and investment.

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Pattison, a company which sells agricultural equipment, has prepared its draft financial statements for the year ended 31 December 2021. It has included the following transactions in revenue at the stated amounts below. Which of these has been correctly included in revenue according to IFRS 15 Revenue from Contracts with Customers? A Sales proceeds of £18,500 for sales staff motor vehicles which were no longer required by Pattison. B Sales of £400,000 on 30 September 2021. The amount invoiced to and received from the customer was £450,000, which includes £50,000 for ongoing servicing work to be done by Pattison over the next two years. с Sales of £150,000 on 1 October 2021 to an established customer which (with the agreement of Pattison) will be paid in full on 30 September 2022. Pattison has a cost of capital of 12%. D Agency sales of £500,000 on which Pattison is entitled to a commission.

Answers

Transaction B has been correctly included in revenue according to IFRS 15. Transactions A, C, and D require further analysis or adjustments to determine the appropriate revenue recognition treatment based on the specific circumstances and contractual terms.

A) Sales proceeds of £18,500 for sales staff motor vehicles which were no longer required by Pattison.

This transaction does not represent revenue from a contract with a customer. It is the sale of assets and should be recorded as a gain or loss on the disposal of assets, not as revenue.

B) Sales of £400,000 on 30 September 2021. The amount invoiced to and received from the customer was £450,000, which includes £50,000 for ongoing servicing work to be done by Pattison over the next two years.

In this case, the revenue should be recognized for the amount that corresponds to the goods or services that have been transferred to the customer. As £400,000 represents the consideration for the goods sold, it should be recognized as revenue. The £50,000 for the ongoing servicing work should be recognized as deferred revenue and recognized over the two-year service period.

C) Sales of £150,000 on 1 October 2021 to an established customer which (with the agreement of Pattison) will be paid in full on 30 September 2022. Pattison has a cost of capital of 12%.

According to IFRS 15, revenue should generally be recognized when control of goods or services is transferred to the customer. In this case, as the payment is deferred until 30 September 2022, revenue recognition would typically be delayed until that date. However, if there is evidence to suggest that the customer will make the payment and Pattison does not have significant uncertainties related to collecting the payment, revenue could be recognized earlier.

D) Agency sales of £500,000 on which Pattison is entitled to a commission.

The commission earned by Pattison on agency sales can be recognized as revenue when the criteria for recognizing revenue under IFRS 15 are met. This would typically be when the control of the goods or services is transferred to the customer.

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The area of ethics that is concerned with supplying and justifying a coherent moral system of thinking and judging is called:____.

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The area of ethics that is concerned with supplying and justifying a coherent moral system of thinking and judging is called "normative ethics."

Normative ethics seeks to establish principles and criteria for determining what is morally right or wrong, good or bad, and how individuals should behave or make ethical decisions. It aims to provide frameworks and theories that guide ethical reasoning and enable individuals to assess and evaluate moral choices in a systematic and consistent manner.

Normative ethics is one of the main branches of ethics, along with metaethics (which examines the nature of ethics and ethical language) and applied ethics (which deals with specific ethical issues and dilemmas in various domains).

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A firm with a 13% WACC is evaluating two projects for this year's capital budget. After-tax cash flows, including depreciation, are as follows: 0 1 2 3 4 5 Project M -$21,000 $7,000 $7,000 $7,000 $7,0

Answers

To evaluate the two projects, we need to calculate the net present value (NPV) for each project using the firm's weighted average cost of capital (WACC) of 13%.

For Project M, the cash flows are:

Year 0: -$21,000

Year 1: $7,000

Year 2: $7,000

Year 3: $7,000

Year 4: $7,000

Year 5: $7,000

To calculate the NPV using a discount rate of 13%, we first need to calculate the present value factor for each year. The present value factor is calculated as:

PV factor = 1 / (1 + WACC)^n

where n is the number of years in the future.

Using this formula, the present value factors for each year are:

Year 0: PV factor = 1 / (1 + 0.13)^0 = 1

Year 1: PV factor = 1 / (1 + 0.13)^1 = 0.885

Year 2: PV factor = 1 / (1 + 0.13)^2 = 0.783

Year 3: PV factor = 1 / (1 + 0.13)^3 = 0.693

Year 4: PV factor = 1 / (1 + 0.13)^4 = 0.613

Year 5: PV factor = 1 / (1 + 0.13)^5 = 0.543

Next, we multiply each year's cash flow by its corresponding present value factor and sum up the results to get the NPV:

NPV = (-$21,000 x 1) + ($7,000 x 0.885) + ($7,000 x 0.783) + ($7,000 x 0.693) + ($7,000 x 0.613) + ($7,000 x 0.543)

NPV = -$1,091.49

For Project N, the cash flows are:

Year 0: -$39,000

Year 1: $12,000

Year 2: $12,000

Year 3: $12,000

Year 4: $12,000

Year 5: $12,000

Using the same formula and present value factors as before, we calculate the NPV for Project N:

NPV = (-$39,000 x 1) + ($12,000 x 0.885) + ($12,000 x 0.783) + ($12,000 x 0.693) + ($12,000 x 0.613) + ($12,000 x 0.543)

NPV = $2,455.53

Based on these calculations, Project N has a positive NPV of $2,455.53, while Project M has a negative NPV of -$1,091.49. Therefore, if the firm can only choose one project to invest in, it should choose Project N as it is expected to generate a higher return than its cost of capital.

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Schroder Asian Growth Fund desires an annual rate of return of
6.75 percent from its portfolio. How much is the investor willing
to pay for a $1,000 face value bond that matures in 12 years,
paying se

Answers

To determine the value the investor is willing to pay for the bond, we need to calculate the present value of the bond's future cash flows.

Given:

Desired annual rate of return = 6.75%

Face value of the bond = $1,000

Maturity period = 12 years

Coupon payments = Semi-annual (paying twice a year)

To calculate the present value, we need to discount the future cash flows (coupon payments and the face value) using the desired annual rate of return.

Step 1: Calculate the discount rate per period

Discount rate per period = Desired annual rate of return / Number of periods per year

Discount rate per period = 6.75% / 2

Discount rate per period = 3.375%

Step 2: Calculate the present value of each coupon payment

Present value of coupon payments = Coupon payment / (1 + Discount rate per period)^(Number of periods per year * Number of years)

Present value of coupon payments = Coupon payment / (1 + 0.03375)^(2 * 12)

Step 3: Calculate the present value of the face value

Present value of face value = Face value / (1 + Discount rate per period)^(Number of periods per year * Number of years)

Present value of face value = $1,000 / (1 + 0.03375)^(2 * 12)

Step 4: Calculate the total present value

Total present value = Present value of coupon payments + Present value of face value

By summing up the present value of coupon payments and the present value of the face value, you can find the amount the investor is willing to pay for the bond.

Please provide the coupon payment amount for each period (semi-annual) to proceed with the calculation and provide a more accurate value.

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Showing two models of innovation creativity and
explaining how they work and how they can be applied to the
organization and the employee creativity."

Answers

1. Two models of innovation and creativity are the Four C Model (Clarify, Create, Critique, and Choose) and the Osborn-Parnes Creative Problem Solving (CPS) Model.

The Four C Model is a sequential process that begins with clarifying the problem or challenge, followed by generating creative ideas, critically evaluating and refining those ideas, and finally selecting the best solution. This model provides a structured approach to foster creativity and innovation within an organization. It encourages individuals to explore multiple perspectives, challenge assumptions, and select the most viable solution.

The Osborn-Parnes CPS Model is a systematic process that involves problem finding, fact finding, problem definition, idea finding, solution selection, and implementation planning. It emphasizes the importance of divergent thinking (generating multiple ideas) and convergent thinking (selecting the best ideas). This model provides a framework to stimulate creativity and generate innovative solutions by encouraging brainstorming, exploring alternatives, and evaluating potential outcomes.

These models can be applied to organizations by creating a culture that values and encourages innovation. By implementing structured processes like the Four C Model or CPS Model, organizations can provide employees with the tools and framework to think creatively, solve problems, and generate innovative ideas. It enables collaboration, enhances problem-solving abilities, and fosters a supportive environment for experimentation and risk-taking.

For employees, these models offer a systematic approach to enhance their creativity. By following the steps of the models, employees can clarify the problem, explore various possibilities, critically evaluate ideas, and choose the most effective solutions. These models empower employees to think outside the box, challenge conventional thinking, and contribute innovative solutions to organizational challenges.

Overall, integrating these models into an organization's practices and nurturing employee creativity can drive innovation, improve problem-solving capabilities, and ultimately lead to organizational growth and success.

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awyer Company was formed on December 1, 2020. The following information is available from Sawyer's inventory records for Product BAP. Units Unit Cost January 1, 2021 (beginning inventory) 600 $8.00 Purchases: 1,100 9.00 1,300 10.00 January 5, 2021 January 25, 2021 February 16, 2021 March 26, 2021 800 11.00 600 12.00 A physical inventory on March 31, 2021, shows 1,500 units on hand. Instructions. Prepare schedules to compute the ending inventory at March 31, 2021, under each of the following inventory methods. (a) FIFO. (b) LIFO. (c) Weighted average.

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The ending inventory under the weighted average method is valued at $21,450.

Ending inventory at March 31, 2021, under each of the following inventory methods:

(a) FIFO (First-In, First-Out) Method:

Under the FIFO method, the ending inventory is valued based on the assumption that the units acquired first are sold first. Calculating the ending inventory using FIFO:

Beginning inventory (January 1, 2021): 600 units × $8.00 = $4,800

Purchases:

1,100 units × $9.00 = $9,900

300 units × $10.00 = $3,000

600 units × $11.00 = $6,600

Total purchases = $19,500

Total units available for sale: 600 + 1,100 + 300 + 600 = 2,600 units

Cost of goods available for sale: $4,800 + $19,500 = $24,300

Ending inventory: 2,600 units - 1,500 units (physical count) = 1,100 units

1,100 units × $12.00 = $13,200

Therefore, the ending inventory under the FIFO method is valued at $13,200.

(b) LIFO (Last-In, First-Out) Method:

Under the LIFO method, the ending inventory is valued based on the assumption that the units acquired last are sold first. Calculating the ending inventory using LIFO:

Beginning inventory (January 1, 2021): 600 units × $8.00 = $4,800

Purchases:

800 units × $11.00 = $8,800

600 units × $12.00 = $7,200

Total purchases = $16,000

Total units available for sale: 600 + 800 + 600 = 2,000 units

Cost of goods available for sale: $4,800 + $16,000 = $20,800

Ending inventory: 2,000 units - 1,500 units (physical count) = 500 units

500 units × $12.00 = $6,000

Therefore, the ending inventory under the LIFO method is valued at $6,000.

(c) Weighted Average Method:

Under the weighted average method, the ending inventory is valued by taking the weighted average cost per unit of the goods available for sale. Calculating the ending inventory using the weighted average method:

Calculate the weighted average cost per unit:

(600 units × $8.00) + (1,100 units × $9.00) + (1,300 units × $10.00) + (800 units × $11.00) + (600 units × $12.00) = $62,900

Total units available for sale: 600 + 1,100 + 1,300 + 800 + 600 = 4,400 units

Weighted average cost per unit: $62,900 / 4,400 units = $14.30

Ending inventory: 1,500 units (physical count) × $14.30 = $21,450

Therefore, the ending inventory under the weighted average method is valued at $21,450.

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The Justin Bieber Company manufactures special microphones that are sold for $80 per unit. The following information pertains to the company's first year of operations in which it produced 50,000 units and sold 36,000 units. The variable costs per unit are DM of $24, DL of $14, variable MOH of $3, and variable selling and admin of $4. The yearly fixed costs are MOH of $700,000 and selling and admin of $456,000. What is the total contribution margin under variable costing? Round your answer to the nearest whole number.

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The total contribution margin under variable costing for The Justin Bieber Company's first year of operations is $1,260,000 (rounded to the nearest whole number).

How to calculate total contribution margin for Justin Bieber Company?

To calculate the total contribution margin under variable costing, we need to subtract the total variable costs from the total sales revenue.

Variable costs per unit:

Direct materials (DM) = $24

Direct labor (DL) = $14

Variable manufacturing overhead (MOH) = $3

Variable selling and administrative (S&A) = $4

Total variable cost per unit = DM + DL + Variable MOH + Variable S&A

= $24 + $14 + $3 + $4

= $45

Total units sold = 36,000 units

Sales revenue = Price per unit * Total units sold

= $80 * 36,000

= $2,880,000

Total variable costs = Total variable cost per unit * Total units sold

= $45 * 36,000

= $1,620,000

Total contribution margin = Sales revenue - Total variable costs

= $2,880,000 - $1,620,000

= $1,260,000

Therefore, the total contribution margin under variable costing is $1,260,000 (rounded to the nearest whole number).

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On August 1, 2021. LYZ Co. paid $12.000 for 12 months of rent coverage. No adjustments have been made to the prepaid rent account, and now it's December 31, 2021. Required: Calculate the rent expenses till December 31, 2021. A $5,000 B) $2,000 $1,000 2 Points

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On August 1, 2021, LYZ Co. paid $12,000 for 12 months of rent coverage. There are no adjustments made to the prepaid rent account, and now it's December 31, 2021.

The rent expense for the period ending December 31, 2021, should be recorded as $2,000. To calculate the rent expense, we need to take the prepaid rent amount into account. Prepaid rent is an asset account, and the amount is a prepayment for the rent, which has not yet been earned. The prepaid rent should be amortized over the rental period's life, and the amortized amount should be expensed each month. For the given problem, rent is prepaid for 12 months, and no adjustments were made to the prepaid account. Hence, the full amount of $12,000 will be recorded as an asset, and the total amount will be expensed during the 12-month rental period, which started on August 1, 2021, and will end on July 31, 2022.

Therefore, the rent expense will be calculated for 5 months from August 1, 2021, to December 31, 2021, as follows: Rent expense = $12,000/12 * 5 months= $5,000 / 12 * 5= $2,083.33. Hence, the rent expenses till December 31, 2021 will be $2,000, which is the nearest answer to the calculated amount.

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In 2021, a typical family in Pizzaland consumes 50 pizzas, 20 chicken wings and 40 beers. The pizzas cost $15 each, chicken wings $2 each and beers cost $3 per bottle. In 2022, the price of pizzas went up to $18 each and chicken wings went up to $3, while the beer price remained the same.
Part A: In 2022, the consumption of chicken and beer decreased by 10%, the cost of living in 2022 is:
A) $1062
B) None of other answers is correct
C) $1080
D) $972
E) $910

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The cost of living in 2022 is D) $972 according to the given information. Hence, the correct answer is option D.

To calculate the cost of living in 2022, we need to consider the changes in prices and consumption. The cost of pizzas increased from $15 to $18 each, resulting in an increase of 20%. However, the consumption of pizzas remained the same at 50. Therefore, the cost of pizzas in 2022 is (50 pizzas * $18) = $900.

The cost of chicken wings increased from $2 to $3 each, a 50% increase. However, the consumption of chicken wings decreased by 10%. Thus, the cost of chicken wings in 2022 is (20 wings * $3 * 90%) = $54.

The cost of beers remained the same at $3 per bottle, and the consumption decreased by 10%. Therefore, the cost of beers in 2022 is (40 beers * $3 * 90%) = $108.

Adding up the costs of pizzas, chicken wings, and beers gives us a total cost of $900 + $54 + $108 = $1062. Hence, the correct answer is D) $972, which is the closest option to the calculated cost of living in 2022.

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Download/obtain a recent financial statement (within the last 5 years) of any bank (operating in Ghana) of your choice. With your knowledge in strategic finance issues and the principle of financial statement analysis, use the information from the financial statement to estimate the base rate for the selected bank.
Additional Information Use the 2021 annual values for all macro-level indicators needed to compute the base rate.

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Based on the provided information about Bank of Africa Ghana, the bank recorded a profit after tax of GH¢ 65.8 million at the end of 2020, despite the challenges posed by the Covid-19 pandemic. This performance was supported by a net interest income of GH¢ 180.53 million, which showed a significant increase of 24% compared to GH¢ 146.05 million in 2019.

As for the financial performance of commercial banks in Ghana, it would require a more comprehensive analysis of the banking sector. However, based on the additional information provided, it states that the total assets of the banking sector amounted to GH¢ 129.06 billion in December 2019, showing a year-on-year growth of 22.8%. This growth rate was higher compared to the 12.3% growth observed in December 2018. The stronger total assets growth in December 2019 can be attributed to the higher growth in both domestic and foreign assets of the banking sector.

To obtain a more detailed and accurate analysis of the financial performance of commercial banks in Ghana, it would be necessary to review comprehensive financial reports, industry data, and consider various performance indicators such as profitability ratios, asset quality, capital adequacy, and liquidity ratios. Additionally, it would be valuable to compare the performance of Bank of Africa Ghana with other commercial banks in the country to assess its relative position in the banking industry.

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SB Ltd's preference shares are selling for $38 each and pay a
$4.15 annual dividend.
(a) What is the expected rate of return on a SB Ltd. preference
share?
(b) If an investor's required rate of return

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(a) The expected rate of return on a SB Ltd. preference share is 10.92%.

(b) If an investor's required rate of return is higher than the expected rate of return, they may not be willing to invest in the SB Ltd. preference shares. If their required rate of return is lower than the expected rate of return, they may see the investment as attractive.

(a) The expected rate of return on a SB Ltd. preference share can be calculated using the formula:

Expected Rate of Return = (Annual Dividend / Price per Share) * 100%

In this case, the annual dividend is $4.15 and the price per share is $38. Plugging these values into the formula gives:

Expected Rate of Return = ($4.15 / $38) * 100% = 10.92%

Therefore, the expected rate of return on a SB Ltd. preference share is 10.92%.

(b) If an investor's required rate of return is higher than the expected rate of return, they may not be willing to invest in the SB Ltd. preference shares. If their required rate of return is lower than the expected rate of return, they may see the investment as attractive.

For example, if an investor's required rate of return is 12%, which is higher than the expected rate of return of 10.92%, they may not be willing to invest in the SB Ltd. preference shares as they would not receive the return they require. On the other hand, if their required rate of return is 9%, which is lower than the expected rate of return, they may see the investment as attractive as it offers a return that meets or exceeds their expectations.

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You’ve observed the following returns on Crash-n-Burn Computer’s
stock over the past five years: 2 percent, –9 percent, 24 percent,
17 percent, and 16 percent.
What was the arithmetic

Answers

The arithmetic mean return of Crash-n-Burn Computer's stock over the past five years is 10 percent.

To calculate the arithmetic mean return, we sum up all the individual returns and divide it by the number of observations. In this case, we add 2 percent, -9 percent, 24 percent, 17 percent, and 16 percent, which gives us a total of 50 percent. Then, we divide 50 percent by 5 (the number of observations) to get the arithmetic mean return.

(2% + (-9%) + 24% + 17% + 16%) / 5 = 10%

Therefore, the arithmetic mean return of Crash-n-Burn Computer's stock over the past five years is 10 percent.

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Consider the following dialogue between Tim and Brian, economics students taking a course on Money, Banking, Financial Markets and Institutions. TIM: Hi Brian. The professor mentioned that in addition to money people also hold bonds and some other asset, which I forget. Can you please remind me, which one is that? BRIAN: That's right, Tim, the professor told us that in addition to money and bonds, people also hold such financial assets as credit cards TIM: Also, I cannot see the difference between money and bonds. Could you explain it to me? stocks BRIAN: Unlike money, bonds represent tokens jewelry TIM: But why is money considered a financial asset? real estate BRIAN: Money is clearly an asset because by definition, it is TIM: Are there any other financial assets? BRIAN: Yes. Let's try to identify them together: Check all that apply. Checking accounts Savings accounts Credit cards Cars

Answers

Money is usually safer than stocks, but it usually returns less. Rather than valuing cash will devalue with expansion.

1. Introduce money and financial assets :

Paolo : That's right, Kenji. The professor told us that people also hold bonds, debentures, mutual funds, and bank deposits in addition to money.

Paolo : Unlike money, stocks represent a company's stock and can be traded for profit or held for dividends and price appreciation to gain financial gain. Money is usually safer than stocks, but it usually returns less. Rather than valuing cash will devalue with expansion.

Paolo : Money is unquestionably an asset because it is a liquid asset that derives its value from ownership rights or contractual rights.

Paolo :- Yes.

How about we attempt to distinguish them together:

Check all that apply Savings account

Checking account

Both savings accounts and checking accounts are regarded as assets. The majority of bank investments are liquid and claim ownership.

2. An overview of the financial market.      

Caroline : The equity market and the stock market are the same thing. due to the fact that both are traded on stock exchanges. Stock exchanges are used to trade a company's shares. Stock trade is where values and subordinates are purchased and sol.

Caroline : The financial market basically brings stock units, bonds, and other securities together.

Caroline  : It is accurate to state that new stock is sold on the primary market when companies and other organizations issue it. The secondary market is the market where bonds and stocks are resold.

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Perpetual Inventory Using FIFO Beginning inventory, purchases, and sales for Item ER27 are as follows: August 1 Inventory 35 units $22 9 Sale 29 units 13 Purchase 23 units $24 25 Sale 11 units Assuming a perpetual inventory system and using the first-in, first-out (FIFO) method, determine (a) the cost of merchandise sold on August 28 and (b) the inventory on August 31. a. Cost of merchandise sold on August 28 b. Inventory on August 31

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Perpetual Inventory Using FIFOThe perpetual inventory system is a technique of accounting for inventory management in which inventory is recorded on a constant basis, which implies that every transaction is recorded in real-time.

FIFO, which means first-in, first-out, is a cost allocation method that assumes the first items acquired are the first ones sold. We'll determine the cost of merchandise sold on August 28 and the inventory on August 31 in this scenario. On August 1, the firm had 35 units of Item ER27, valued at $22 per unit. At the start of the month, the inventory was $770 ($22 x 35). On August 9, the firm sold 29 units for a total of $377 ($13 x 29). This resulted in a reduction in inventory to 6 units. Following that, on August 13, the firm bought 23 more units at a cost of $24 per unit. The firm now has 29 units (6 from beginning inventory and 23 from the August 13 purchase). The total cost of these units is $790 ($770 from the beginning inventory and $20 from the August 13 purchase).On August 28, the firm sold an additional 11 units. According to FIFO, the first items acquired were the first to be sold. This means that 6 units were sold from the beginning inventory, with a total cost of $132 (6 units x $22). The cost of the additional 5 units purchased on August 13 was $120 ($24 x 5). The total cost of the items sold on August 28 is $252 ($132 + $120).Inventory on August 31 can be determined as follows: The firm had 29 units on August 13, and 11 were sold on August 28, leaving 18 units. As a result, the inventory is worth $540 ($30 per unit).Consequently, the cost of merchandise sold on August 28 is $252, and the inventory on August 31 is $540.

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From the following trial balance, with the additional information, please complete the adjustments, and prepare a financial statement (income, owner's equity and balance sheet). Close all the temporary accounts using the closing procedure and prepare a post-closing trial balance. Additional information 1. Repair inventory on hand: $12,000.00 2. Rent expired: $2,000.00 3. Depreciation on office equipment: $250.00 4. Interest expense: $180.00 5. $6,300.00 worth of unearned revenue job was completed. Debit Credit $ 31,000 $ 48,000 9,000 21,000 14,400 3,800 14,000 21.000 7,500 450 750 148.000 Accounts payable. Accounts receivable. Accumulated depreciation, equipment... Accumulated depreciation, truck. Cash Depreciation expense. Equipment. Franchise.. Gas and oil expense Interest expense Interest payable. Land not currently used in business operations. Long-term notes payable?.. Notes payable, due February 1, 2018 Notes receivable Intangible asset. Prepaid rent. Rent expense. Repair revenue. Repair supplies Repair supplies expense Truck Unearned repair revenue. Vic Sopik, capital Vic Sopik, withdrawals Totals 35,000 7.000 6.000 7.000 14,000 51,000 266,000 13,100 29,000 26,000 12,600 74,900 49,000 $457.250 $457,250

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After making the necessary adjustments, financial statements including the income statement, owner's equity statement, and balance sheet are prepared. Temporary accounts are closed using the closing procedure, and a post-closing trial balance is generated.

Adjustments:

1. Repair inventory on hand of $12,000 is recorded as an increase in Repair Supplies and a decrease in Repair Supplies Expense.

2. Rent expired of $2,000 is recorded as an increase in Rent Expense and a decrease in Prepaid Rent.

3. Depreciation on office equipment of $250 is recorded as an increase in Depreciation Expense and a decrease in Accumulated Depreciation, Equipment.

4. Interest expense of $180 is recorded as an increase in Interest Expense and an increase in Interest Payable.

5. Unearned revenue job completed worth $6,300 is recorded as an increase in Repair Revenue and a decrease in Unearned Repair Revenue.

Financial Statements:

Income Statement:

- Revenues: Repair Revenue

- Expenses: Depreciation Expense, Gas and Oil Expense, Interest Expense, Repair Supplies Expense, Rent Expense

- Net Income: Total Revenues - Total Expenses

Owner's Equity Statement:

- Beginning Capital Balance + Net Income - Withdrawals = Ending Capital Balance

Balance Sheet:

- Assets: Cash, Accounts Receivable, Land not currently used in business operations, Equipment, Accumulated Depreciation (both for equipment and truck), Notes Receivable, Repair Supplies, Prepaid Rent

- Liabilities: Accounts Payable, Long-term Notes Payable, Notes Payable, Interest Payable

- Owner's Equity: Franchise, Vic Sopik, Capital

- Total Liabilities and Owner's Equity: Total Liabilities + Total Owner's Equity

Closing Procedure:

Temporary accounts (Repair Revenue, Depreciation Expense, Gas and Oil Expense, Interest Expense, Repair Supplies Expense, Rent Expense) are closed by transferring their balances to the Owner's Capital account.

Post-Closing Trial Balance:

A post-closing trial balance is prepared by listing all the accounts with their adjusted balances after the closing entries. The purpose of this trial balance is to verify that the books are in balance and only permanent accounts (assets, liabilities, and owner's equity) remain.

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L The most important determinant of consumption and saving is the OA. price level. B. level of income. OC. interest rate. OD. level of bank credit. Moving to another question will save this response.

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The most important determinant of consumption and saving is the level of income (B). Income is a key factor that influences an individual's ability to consume goods and services and save for the future.

As income increases, individuals generally have more disposable income available for consumption and saving. Conversely, when income decreases, individuals tend to reduce their consumption and saving.

While other factors, such as the price level (A), interest rate (C), and level of bank credit (D), can also influence consumption and saving decisions, the level of income remains the primary determinant. Changes in the price level can affect the purchasing power of income, leading to adjustments in consumption patterns. The interest rate can influence the cost of borrowing and the return on saving, thereby impacting consumption and saving decisions. The level of bank credit can affect borrowing opportunities, which in turn can influence consumption and saving behavior. However, these factors are often influenced by the level of income as well.

It's important to note that individual preferences, expectations, and other socio-economic factors can also play a role in shaping consumption and saving decisions. Nonetheless, the level of income is widely recognized as a fundamental determinant in determining the ability and propensity to consume and save.

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Other Questions
Case 10: Fenghua's Organizational Structure ChangeCasp?.Fenghua Property Services Co. Ltd. (hereinafter referred to as "Fenghua") was established inGuangzhou in August 1991 as a private enterprise invested by natural persons. Fenghua engagesin property services for office, government logistics, urban complex, commercial plaza, andresidential buildings, public transportation system services, urban integrated services, publicutility services, road cleaning, etc. In recent years, Fenghua began to operate nationwide and hasexpanded its market territory to 39 cities in 20 provinces with an annual revenue growth of 28%.The company's fast growth was good, but Mr. Bai, the legal representative and chief executiveofficer of Fenghua, was worried that despite many directions to go with, the company didn't havedistinctive specialties and lacked competence. As its scale increased and businesses varied, theoriginal organizational structure could not meet the needs of a fast-growing company. ThenFenghua decided to be a city service provider at the end of 2018. The company management hadvarious opinions on the organizational change adapting to the new role and some of them wereeven completely opposite. Mr. Bai was hesitant to make up his mind.1. To specialize or regionalize?Mr. Bai recalled that Fenghua has always kept sensitive and flexible to the external environmentfor over 30 years of development. At the outset, the company mainly engaged in the propertymanagement of old residential properties and later positioned itself as hotel-style propertymanagement. When real estate developers from other cities rushed to the rising market inGuangzhou, Bai began to develop Fenghua's business in commercial office and started a majortransformation from "residential property service provider" to "office building service provider"The latter soon became Fenghua's main business, but an oversupply of office buildings,difficulties in recovering service fees and other emerging problems pushed a secondtransformation from "office building service provider" to "city service provider". 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Using the data provided, prepare an estimate of the minimum price that you would recommend Jesmond Ltd to charge for the proposed contract such that it would be neither better nor worse off as a result.c) One of the directors has argued that the decision to produce the robotic units should not depend entirely on financial considerations. Identify any other factors that you would consider before fixing the final price. Let D be the region enclosed by y = sin(x), y = cos(x), x = 0 and x = revolving D about the x-axis is: I revolving D about the y-axis is: Note: Give your answer to the nearest hundredth and use the de Variables and constructs are terms that are quite often used in research which leads to a belief that they are the same thing which they are not. Please explain the differences between these two terms and how they are similar and not. Can you reflect on a time when you should have taken the livedexperiences and diversity of another into account? How could ithave improved the outcome of your interaction? 6. The International Accounting Standards Board has proposed changes to IFRS pension accounting including all of the following excepta. elimination of smoothing via the corridor approach.b. different presentation of pension costs in the income statement.c. requiring recognition of actuarial gains and losses over the expected service lives of employees.d. a new category of pensions for accounting purpose "contribution-based promises." Manny Flowers is in his 12th year as mayor of a small but growing city. Over the course of the past 12 years the city has prospered under the guidance of Mayor Flowers. With the growth of the city has come an increase in tax revenue that has allowed the city to add additional staff both hourly and managerial. One of the positions hired was an HR specialist (you) to help with personnel and organizational behavior problems.He has asked you to help with what he feels is a problem of employee morale in the operations division. Willie Keepum, Parks Director, has complained to Manny that most of his (21) workers have bad attitudes and don't seem to want to work. He says he's prepared to fire them all if they don't shape up. Willie has informed Manny of his intentions, and believes he needs to "clean house" to show them who's boss. Besides, he thinks a lot of them have become complacent and don't care about producing quality work for the public. Willie also pays little attention to the mid-level supervisors' opinions stating that, "I'm ultimately responsible, so I'll make the decisions."Mayor Flowers knows that Willie can be heavy-handed in his management style and that Willie believes workers come to work either motivated or not. Willie has told him "there's nothing you can do to make them work if they don't want to." Knowing everything about city politics but not so much about people, Manny isn't sure whether it's the workers or Willie that's creating the problem. He wants to know that if it is Willie, can he be changed? Or is it hopeless? He wants you to tell him if you think Willie or the workers should go. If you think neither should, then how does he solve the problem? This issue is becoming a major headache for the Mayor. Therefore, Manny asks you to analyze the situation using your knowledge of leadership theories, and recommend to him possible solutions so he can decide what to do.Decide if either the workers or Willie should go Q7. (15 marks) The following f(t) is a periodic function of period T 27, defined over the period - SIS 21 when - # Contribution Margin Ratio a. Imelda Company budgets sales of $990,000, fixed costs of $20,000, and variable costs of $89,100. What is the contribution margin ratio for Imelda Company? (Enter your answ Current Attempt in Progres Waterways puts much emphasis on cash flow when it plans for capital investments. The company chose its discount rate of 9% based on the rate of return it must pay its owners X y O 2 1 7 2 10.2 3 14 17.9 Which linear regression model best fits the data in the table? Oy= 2.46x + 3.88 Oy=-3.88.2 - 2.46 Oy= -2.462 3.88 Oy= 3.882 +2.46 several objects roll without slipping down an incline of vertical height h, all starting from rest at the same moment what are the macro and micro economics factors that influence thedemand of seafoods? Southeastern College began the year with endowment investments of $1,200,000 and $700,000 of restricted cash designated by a donor for capital additions.During the year an additional $500,000 donation was received for capital additions. These funds, together with those contributed in the prior year, were used to purchase 150 acres of land adjacent to the university.An alum contributed $200,000 to the permanent endowment and pledged to provide an additional $400,000 early next year. The cash was immediately invested.By terms of the endowment agreement, interest and dividends received on the investments are restricted for scholarships. Gains or losses from changes in the fair value of the investments, however, are not distributed but remain in the endowment. During the year, $48,000 of interest and dividends were received on endowment investments.At year-end, the fair value of the investments had increased by $7,000. When simplified, (u+2v) -3 (4u-5v) equals a) 11u+17v b) -11u-17vc) 11u-17v d) 11u +17v