Answer:
$4,000 gain
Explanation:
Some information was missing:
the spot rates for euros were:
November 15, 20X3 $0.4955 per €1 December 10, 20X3 $0.4875 per €1December 31, 20X3 $0.4675 per €1January 10, 20X4 $0.4475 per €1In Chow's December 31, 20X3, income statement, the foreign exchange gain is ?
the goods costed €200,000 x 0.4875 = $97,500 on December 10, 20x3
the goods costed €200,000 x 0.4675 = $93,500 on December 31, 20x3
Since the goods were sold FOB shipping point, we have to use the shipping date (December 10) to calculate the original price. By December 31, the price in US dollars had decreased by $4,000 resulting in a foreign exchange gain.
Cantor Corporation acquired a manufacturing facility on four acres of land for a lump-sum price of $9,000,000. The building included used but functional equipment. According to independent appraisals, the fair values were $4,500,000, $3,000,000, and $2,500,000 for the building, land, and equipment, respectively. The initial values of the building, land, and equipment would be:
Answer:
Initial value of building = $4,050,000
Initial value of land = $2,700,000
Initial value of equipment = $2,250,000
Explanation:
The fair value of an asset refers to a unbiased estimate of the likely market price of the asset.
The initial value of a fixed asset refers to the amount of money that spent to acquire or create the asset.
The initial value of each asset from a group of asset can be calculated using the following formula:
Initial value of an asset = Lump-sum price * (FVA / TFV) ............ (1)
Where, from the questio;
Lump-sum price = $9,000,000
FVA = Fair value of a particular asset. From the question, we have:
Building fair value = $4,500,000
Land fair value = $3,000,000
Land fair value = $2,500,000
TFV =Total fair value = Building fair value + Land fair value + Land fair value = $4,500,000 + $3,000,000 + $2,500,000 = $10,000,000
Substituting the values into equation (1), we can determine the initial value of each asset as follows:
Initial value of building = $9,000,000 * ($4,500,000 / $10,000,000) = $9,000,000 * 0.45 = $4,050,000
Initial value of land = $9,000,000 * ($3,000,000 / $10,000,000) = $9,000,000 * 0.30 = $2,700,000
Initial value of equipment = $9,000,000 * ($2,500,000 / $10,000,000) = $9,000,000 * 0.25 = $2,250,000
Eric left high school to work in a factory where he has been for the last 9 years. He married at 19 and has two children. He is unhappy and cynical. He doesn't like working hard to make purchase decisions so he waits until a product is easy to find before he buys.
A. EA
B. EM
C. I
D. L
E. LM
Answer: D. L
Explanation:
Eric is a Laggard. A Laggard is one of the 5 Adopter categories when it comes to new products in the market. These categories define people in terms of when they adopt a product as well as why.
Laggards are the last group to adopt a product. They do not like change and as such will only adopt a product when it is forced on them on when they have no choice because the product is so widespread that everyone is using it. Eric prefers to make a purchase only when it is easy to find. That is when the product has become quite widespread which is during the Laggard adoption stage.
Tax Services prepares tax returns for senior citizens. The standard in terms of (direct labor) time spent on each return is hours. The direct labor standard wage rate at the firm is per hour. Last month, direct labor hours were used to prepare tax returns. Total wages were .
Answer:
Tax Services
Total wages were:
= hourly wage rate * total hours spent on returns for the month
For example, if the hourly wage rate is $50 and the total hours spent on the returns equal 560 hours, the total wages will be equal to $28,000 ($50 x 560).
Explanation:
The Tax Services' total wages will be equal to the hourly wage rate multiplied by the total hours spent on returns during the month. The total hours spent on the returns for the month is obtained by adding up the hours spent on all the returns. The total wages depend on the hours worked and the standard wage rate that has been established in the firm.
The standard quantity allowed for the units produced was 4000 pounds, the standard price was $2.50 per pound, and the materials quantity variance was $350 favorable. Each unit uses 1 pound of materials. How many units were actually produced
Answer:
Unites actually produced = 4,000 units
Explanation:
Material quantity variance occurs when the actual quantity used to achieved a given level of output is more or less than the standard quantity.
It is determined by the difference between the actual and standard quantity of material for the actual level of output multiplied by the the standard price
Material quantity variance in unit = Materials quantity variance in value /standard price
Material quantity variance in unit = 350/2.50 =140 pounds
Actual quantity used (in pounds) = standard quantity allowed - Material quantity variance
= 4000 - 140 = 3,860 pounds
Actual units produced = Standard quantity allowed/ standard quantity per unit
= 4,000/1 = 4000 units
Unites actually produced = 4,000 units
Some 150 million customers a month visit Amazon and the company passes through $160 billion in sales via its global supply channels and partnerships making interorganizational relationships very important to the company. Which interacting organization has a low coordination, low integration, transactional focus
Answer with Explanation:
Amazon is fastest growing company in the world which has crossed 2 billion customer visits. It has also increased the worth of the company to $1.14 trillions. The supply chain management is where the strengths of the company lies and nobody can match the pricing strategy, quality management and other significant factors that are included in the supply chain management to ensure that the customer is having what they are paying for.
Supply chain management process includes the key partners which includes their suppliers, partners, clients and customers as well who play important roles in the supply chain process by coordinating, integrating systems with each other and are involved in the transaction-al process.
The customers are the one who interact fewer than partners, suppliers, clients, etc because all they do is order a particular product. This is the first interaction of the customer with Amazon and the last interaction is when the customer received the order. So this means they are less interacting party in this process.
Suppliers are continuously contacted and informed about the pricing, supply chain issues, etc so that the company is able to deliver its customers what they are desiring. Supply chain partners also in the process of interacting with Amazon as they have to move products from supplier to the customer. These partners are highly interacted, possess integrating systems and of transaction-al importance to the company.
7. Ms. House utilizes a strategy of "Check 1 – 2- 3". Why does she do this? How do you think this was initially taught?
Explanation:
To get her student's attention. Remember, the check 1 2 3 strategy allows teachers to get an inside into the students understanding.
However, in this scenario, Ms. House uses the strategy to lower her student's voices, so as to get their attention. She likely started using this strategy at the start of the school year and kept doing it.
Which of the following goals of a performance evaluation system is accomplished when the company's actual results are compared to industry standards?
A) Benchmarking
B) Motivating unit managers
C) Promoting goal congruence
D) Providing feedback
Answer:
A) Benchmarking
Explanation:
Benchmarking refers to a process in which the performance of the company could be measured with respect to the product, services, processes as compared with the industry performance
Here in the given situation, when an actual result is compared with the industry standards than we called as a benchmarking and the same is to be used for the evaluation of the performance system
Question 59 of 83 Project M requires an initial investment of $25 million. The project is expected to generate $2.25 million in after-tax cash flow each year forever. Calculate the IRR for the project. 10% 9% 8% 7%
Answer:
9%
Explanation:
In order to calculate the internal rate of return (IRR) for a project that yields cash flows perpetually, we need to divide the yearly cash flow by the project's initial outlay:
IRR = $2,250,000 / $25,000,000 = 0.09 = 9%
The IRR represents the discount rate at which the project's net present value (NPV) equals 0.
Nichols, Inc. has 1,000 shares of 4%, $100 par value, cumulative preferred stock and 75,000 shares of $1 par value common stock outstanding at December 31 of the current year and has declared a dividend for the year. What is the annual dividend that will be paid to the preferred stockholders
Answer: $20,000
Explanation:
The dividends due to preferred stock are fixed and quoted on the preference shares.
The above shares are to get 4% of their par value in dividends.
= (4% * 100) * 5,000 shares
= $20,000
A yearly dividend is a the price paid per share of funds by the firm to its stockholders.
The yearly dividend that will be paid to the elected stockholders will be $20,000
It can be determined by using the formula:[tex]= \text{Monthly Shares} \times \text{Number of payments per year}[/tex]
The above shares are to get 4% of their par price in interests:[tex]= (4\% \times 100) \times 5,000 \; \text{shares}[/tex]
= $20,000
Therefore, $20,000 will be paid to the stockholders.
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Mogul Company ships merchandise to Ski Outfit in a consignment arrangement. The arrangement specifies that Ski Outfit will attempt to sell the merchandise, and in return, Mogul will pay to Ski Outfit a commission of 25% of the selling price on any merchandise sold. During the year, Mogul ships inventory with a cost of $81,000 to Ski Outfit and pays shipping costs of $8,700. By the end of the year, $61,000 of the merchandise has been sold to customers for a total of $86,000. Mogul allocates $6,500 of the shipping costs to inventory sold and the other $2,200 to inventory not sold. Mogul also paid advertising costs during the year of $10,500. What amount of inventory will Mogul report at year end
Answer:
$22,200
Explanation:
With regards to the above information Mogul company,
Cost of goods
= $81,000 + $8,700
= $89,700
= $61,000 + $6,500
= $67,500
Inventory = Cost of goods - Cost of goods sold
= $89,700 - $67,500
= $22,200
It therefore means that the amount of inventory Magu company will report at the year end is $22,200
Skysong, Inc. reports the following liabilities (in thousands) on its December 31, 2020, balance sheet and notes to the financial statements. Accounts payable $4,392.0 Mortgage payable $6,845.0 Unearned rent revenue 1,650.0 Notes payable (due in 2023) 351.0 Bonds payable 2,003.0 Salaries and wages payable 651.0 Current portion of mortgage payable 2,228.0 Notes payable (due in 2021) 2,584.0 Prepare the liabilities section of Skysong’s balance sheet as at December 31, 2020.
Answer:
Skysong, Inc.
Liabilities section
Current liabilities:
Accounts payable $4,392Salaries and wages payable $651Unearned rent revenue $1,650Mortgage payable $2,228Notes payable $2,584Total current liabilities $11,505Long term liabilities:
Mortgage payable $4,617 Notes payable (due in 2023) $351Bonds payable $2,003Total long term liabilities $6,971Total liabilities: $18,476
Which of the following policies often contains clauses that permit a social networking operator to collect and store data on users or even share it with third parties?
1) Terms of Trade policy
2) Terms of Use policy
3) Terms of Endearment policy
4) Terms of Retention policy
Answer: 2) Terms of Use policy
Explanation:
Terms of service are a contract or agreement between the user of a website or in this case a social networking operator and the social networking operator itself. This agreement is meant to govern the terms of the relationship between the 2 parties in terms of what will be expected of both, i.e, their rights and responsibilities.
On the side of the social networking operator, one of the rights usually listed is one stating that the operator can collect and store data on users or even share it with third parties and so it is important to read the terms of use policy as best you can when you can.
Long-Term Solvency Ratios Summary data from year-end financial statements of Palm Springs Company for 2017 follow.
Summary Income Statement Data
Sales $11,692,900
Cost of goods sold 5,135,000
Selling expenses 938,000
Administrative expenses 780,000
Interest expense 2,210,000
Income tax expense 905,000 9,968,000
Net income $1,724,900
Summary Balance Sheet Data
Cash $117,000
Total liabilities $900,000
Noncash assets 1,183,000
Stockholders' equity 400,000
Total assets $1,300,000
Total liabilities and equity $1,300,000
Round answers to two decimal places.
a. Compute the ratio of times-interest-earned.
b. Compute the debt-to-equity ratio.
Answer:
a. Compute the ratio of times-interest-earned.
times-interest-earned = EBIT / interest expense
EBIT = $4,839,900interest expense = $2,210,000times-interest-earned = $4,839,900 / $2,210,000 = 2.19
b. Compute the debt-to-equity ratio.
debt-to-equity ratio = total liabilities / total stockholders' equity
total liabilities = $900,000total stockholders' equity = $400,000debt-to-equity ratio = $900,000 / $400,000 = 2.25
A company incurs $4,050,000 of overhead each year in three departments: Ordering and Receiving, Mixing, and Testing. The company prepares 2,000 purchase orders, works 50,000 mixing hours, and performs 1,500 tests per year in producing 200,000 drums of Goo and 600,000 drums of Slime. The following data are available: Department Expected use of Driver Cost Ordering and Receiving 2,000 $1,200,000 Mixing 50,000 1,500,000 Testing 1,500 1,350,000 Production information for Goo is as follows: Department Expected use of Driver Ordering and Receiving 400 Mixing 20,000 Testing 500 Compute the amount of overhead assigned to Goo. $2,760,000.
Answer:
$1,290,000
Explanation:
Goo:
Ordering and Receiving = 400 / 2,000 = 20%
Mixing = 20,000 / 50,000 = 40%
Testing = 500 / 1,500 = 33.33%
allocated overhead costs:
Ordering and Receiving = 20% x $1,200,000 = $240,000
Mixing = 40% x $1,500,000 = $600,000
Testing = 33.33% x $1,350,000 = $450,000
total allocated overhead costs = $1,290,000
The treasurer of Riley Coal Co. is asked to compute the cost of fixed income securities for her corporation. Even before making the calculations, she assumes the aftertax cost of debt is at least 3 percent less than that for preferred stock.
Debt can be issued at a yield of 11.0 percent, and the corporate tax rate is 20 percent. Preferred stock will be priced at $60 and pay a dividend of $6.40. The flotation cost on the preferred stock is $6.
a. Compute the aftertax cost of debt. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
b. Compute the aftertax cost of preferred stock. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
c. Based on the facts given above, is the treasurer correct?
Answer:
a. Compute the after tax cost of debt.
after tax cost of debt = 11% x (1 - tax rate) = 11% x 0.8 = 8.8%
b. Compute the after tax cost of preferred stock.
after tax cost of preferred stock = cost of preferred stock (no taxes are deducted for paying preferred dividends since they are paid in capital)
cost of preferred stocks = $6.40 / ($60 - $6) = $6.40 / $54 = 11.85%
c. Based on the facts given above, is the treasurer correct?
the difference = 11.85% - 8.8% = 3.05%, so the treasurer was right
Manufacturing produces self-watering planters for use in upscale retail establishments. Sales projections for the first five months of the upcoming year show the estimated unit sales of the planters each month to be as follows:
Inventory at the start of the year was 975 planters. The desired inventory of planters at the end of each month should be equal to 25% of the following month's budgeted sales. Each planter requires four pounds of polypropylene (a type of plastic). The company wants to have 30% of the polypropylene required for next month's production on hand at the end of each month. The polypropylene costs $0.20 per pound.
Number of planters to be sold
January 3900
February 3200
March 3700
April 4400
May 4900
Required:
Prepare a production budget for each month in the first quarter of the year, including production in units for each month and for the quarter.
Answer:
Production budget for the first quarter of 202x
Particulars January February March Total
Expected sales 3,900 3,200 3,700 10,800
Required ending 800 925 1,100 2,825
inventory
Less beginning 975 800 925 2,700
inventory
Required number 3,725 3,325 3,875 10,925
of units to be produced
The production budget for the first quarter includes the months of January, February and March. It doesn't include any materials, since they are included in the materials purchase budget.
rancis Inc.'s stock has a required rate of return of 10.25%, and it sells for $87.50 per share. The dividend is expected to grow at a constant rate of 6.00% per year. What is the expected year-end dividend, D1
Answer:
$3.72
Explanation:
Francis incorporation stock has a required rate of return of 10.25%
The stock is sold at $87.50 per share
The growth rate is 6% per year
Therefore, the expected dividend can be calculated as follows
= Po(rs-g)
= $87.50(10.25%-6%)
= $87.50×4.25
= $3.72
Hence the expected year end dividend is $3.72
A consumer plays the role of:
A)a wage earner.
B)a saver.
C)a borrower.
D)All of these choices are correct.
Answer:
c) borrower
Explanation:
A consumer plays the role of a borrower. The consumer is the important role in the economy. Thus, option (c) is correct.
What is consumer?The term “consumer” means purchasing a product or service for the purpose of personal use. The consumer are consumed the product and services. The consumer are buying the product and services with exchange of money.
According to the role of the consumer are the played in the significant role of the economy. The business are the sale of the goods and the services are the borrower are the paid the money to the business. The economy cycle was the continue run.
As a result, the consumer plays the role of a borrower. The consumer is the significant role in the economy. Therefore, option (c) is correct.
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Portia Grant is an employee who is paid monthly. For the month of January of the current year, she earned a total of 8,588. The FICA tax for social security is 6.2% of the first $118,500 of employee earnings each calendar year and the FICA tax rate for Medicare is 1.45% of all earnings. The FUTA tax rate of 0.6% and the SUTA tax rate of 5.4% are applied to the first $7,000 of an employee's pay. The amount of federal income tax withheld from her earnings was $1,424.97. Her net pay for the month is: (Round your intermediate calculations to two decimal places.)
a) $7,038.50
b) $5,141.03
c) $6,072.04
d) $6,566.00
e) $6,506.04
Answer: e) $6,506.04
Explanation:
Employees do not pay FUTA or SUTA. Employers pay those.
Ms. Grant's net pay for the month therefore is;
= Gross earnings - FICA Social Security - FICA Medicare - Federal Income tax withheld
= 8,588 - (6.2% * 8,588) - ( 1.45% * 8,588) - 1,424.97
= 8,588 - 532.46 - 124.53 - 1,424.97
= $6,506.04
g Sheffield Corp. purchased a truck at the beginning of 2017 for $109200. The truck is estimated to have a salvage value of $3800 and a useful life of 131750 miles. It was driven 23000 miles in 2017 and 31000 miles in 2018. What is the depreciation expense for 2018
Answer:
$24,800
Explanation:
Calculation for the depreciation expense for 2018 for Sheffield Corp.
Using this formula
Depreciation expense = (Purchased at the beginning-Salvage value/Useful life)* Driven miles
Let plug in the formula
Depreciation expense=($109,200-$3,800/131,750)*31,000
Depreciation expense=($105,400/131,750)*31,000
Depreciation expense=0.80*31,000
Depreciation expense=$24,800
Therefore the depreciation expense for 2018 will be $24,800
Pizza sells an average of pizzas per week, of which % are single-topping pizzas and % are supreme pizzas with multiple toppings. Singles sell for each and incur variable costs of . Supremes sell for each and incur variable costs of . The contribution margin per unit and total contribution margin for Singles and Supremes are
Answer:
the question is incomplete, so I looked for a similar question:
"Pizza sells an average of 150 pizzas per week, of which 20% are single-topping pizzas and 80% are supreme pizzas with multiple toppings. Singles sell for $8 each and incur variable costs of $2. Supremes sell for $12 each and incur variable costs of $6."
contribution margin for Singles = $8 - $2 = $6
contribution margin ratio for Singles = $6 / $8 = 75%
total contribution margin for Singles = $6 x 150 x 20% = $180
contribution margin for Supremes = $12 - $6 = $6
contribution margin ratio for Supremes = $6 / $12 = 50%
total contribution margin for Supremes = $6 x 150 x 80% = $720
Spruce Ceramics produces large planters to be used in urban landscaping projects. A special earth clay is used to make the planters. The standard quantity of clay used for each planter is 24 pounds. The company uses a standard cost of $2.20 per pound of clay. Spruce produced 3,000 planters in May. In that month, 75,000 pounds of clay were purchased and used at the total cost of $162,000 Read the requirementsLOADING.... Requirement 1. Calculate the direct material price variance. Begin by determining the formula for the price variance, then compute the price variance for the direct materials. (Enter the variance as a positive number. Enter currency amounts in the formula to the nearest cent and then round the final variance amount to the nearest whole dollar. Label the variance as favorable (F) or unfavorable (U). Abbreviations used: DM = Direct materials)
Answer:
1. $3,000 Favorable
2. $6,600 Unfavorable.
Explanation:
This is an incomplete question. However, the completed part is question number 2, which has been solved below.
1. Direct material price variance
= (Actual price - Standard price) Actual quantity
= ($2.16 - $2.20) × 75,000
= -$0.04 × 75,000
= $3,000 Favorable
Note: Actual price is gotten by; $162,000 / 75,000
= $2.16
2. Direct material quantity variance
= (Actual quantity - Standard quantity) × Standard price
= (75,000 - $72,000) × $2.20
= 3,000 × $2.20
= $6,600 Unfavorable
Note: Standard quantity is gotten by;
24 × 3,000
= 72,000
It is important negotiators consider the shadow negotiation carefully before meeting with the other party so they:________
a. understand where the boundaries of the current negotiations are and should be.
b. are clear in their own minds about the scope of the negotiations.
c. understand how they would ideally like to work with the other party.
d. determine what ground the negotiation is going to cover and how the negotiators are going to work together.
e. understand that all the above are important to the shadow negotiations.
Answer:
b. are clear in their own minds about the scope of the negotiations.
Explanation:
Shadow negotiations refer to the unspoken assumptions that determine how those involved in a deal with each other, whose opinions get heard, whose interests hold sway. Therefore, this is important so the negotiators are clear in their own minds about the scope of the negotiations. Meaning that they go into the negotiation knowing who has more bargaining power and how far they can actually take the negotiation.
Garfield Company has the following information for the current year: Beginning fixed manufacturing overhead in inventory $230,000 Fixed manufacturing overhead in production 850,000 Ending fixed manufacturing overhead in inventory 50,000 Beginning variable manufacturing overhead in inventory $40,000 Variable manufacturing overhead in production 140,000 Ending variable manufacturing overhead in inventory 30,000 What is the difference between operating incomes under absorption costing and variable costing?
Answer:
the difference between operating incomes under absorption costing and variable costing is $180,000 .
Explanation:
The difference between the two Operating Incomes lies in the amount of Fixed Overheads that has been deferred in Inventory.
So, calculation of the difference will be as follows :
Beginning fixed manufacturing overhead in inventory $230,000
Less Ending fixed manufacturing overhead in inventory ($50,000)
Difference between absorption costing and variable costing $180,000
Interest rates can be measured more accurately and quickly than reserve aggregates; hence an interest rate is preferred to the reserve aggregates as a policy instrument.
a. True
b. False
Answer:
False
Explanation:
This is false.
In reporting reserves aggregate there are lags interest rate such as the federal interest rate are quite easy to measure and easily observable. Such short term interest rate are nominal values and they do not measure the real cost of borrowing well. It does not show accurately what happens to Gross domestic product. Real interest rate equals nominal interest rate as a ratio of reduced inflation gives a representation of true cost of borrowing.
We cannot say with certainty that interests rate is a better policy instrument based on the ground of measurability.
Bronn tells Jaime, "I really like your armor." Jaime responds, "I will sell it to you for $800." Bronn states, "Sure, and throw in your sword too." Jaime then writes out the contract, detailing only that he will sell Bronn his armor and the sword. He also lists the delivery date for next Wednesday. The next week on the day of performance, Jaime fails to deliver the armor and sword. Bronn sues him for breach of contract, but Jaime claims the contract is not enforceable because it was missing the price. When Bronn filed his lawsuit, which of the following needed to be included in the written contract for enforceability?
a. signature of both parties
b. price subject
c. matter
d. delivery
e. performance
Answer:
B. price subject
Explanation:
For this contract to be enforceable, it must include price, matter and delivery date. These aspects are all best essential and should be included in the contract. From the question when Jaime wrote the contract he failed to detail the price they agreed upon. Even though the rest were included. Therefore this contract cannot be enforced since it is missing this important aspect. Option b is the answer to the question
Improvements in labor productivity: A. affect the level of wages, but do not affect the rate of economic growth. B. affect the level of profit, but do not affect the rate of economic growth. C. contribute to economic growth. D. hinder economic growth, because they cause unemployment.
Answer:
C. contribute to economic growth
Explanation:
Economic growth is an increase in the the production of goods and services produced in an economy.
Improvements in labor productivity increases the output of labour and as a result contributes to economic growth.
The government wants to set the socially optimal level of nitrogen runoff, and government regulators believe that the actual marginal benefit of pollution (MBP) is given by the estimated MBP curve. The deadweight loss associated with a quota is _____, w
Answer:
Hello your question is incomplete attached below is the complete question
Explanation:
Dead weight loss = 0.5 [( Δp ) * ( ΔD ) ]
D = DEMAND
P = PRICE
DWL with quota = 0.5 [ ( $10 -$6 ) * (12 - 8 ) ]
= 0.5 ( 4*4 ) = $8
DWL with pigouvian tax = 0.5 [ ($10- $6 )*(9 - 8 ) ]
= 0.5 [ 4 * 1 ] = $2
Assume that your parents wanted to have a 170,000 saved for college by your 18th birthday and they started saving on your first birthday. They saved the same amount each year on your birthday and earned 6.5% per year on their investmenets.Required:a. How much would they have to save each year to reach their goal?b. If they think you will take five years instead of four to graduate to graduate and decide to have $140,000 saved just in case, how much more would they have to save each year to reach their new goal?
Answer:
a. They will have to save $5,245.28 each year to reach their goal of $170,000.
b. They will have to save $925.63 less to reach their new goal of $140,000.
Note: The answer to part b is based on the information in the question. Therefore, the correct answer is "they will have to save $925.63 less" not "save more" as suggested in the question. Kindly confirm this from your teacher.
Explanation:
a. How much would they have to save each year to reach their goal?
Since the saving started on your first birthday to have $170,000 saved, it implies the saving will be on your every birthday for 18 years. Therefore, the relevant formula to use to determine this is the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:
FV = M * {[(1 + r)^n - 1] / r} ................................. (1)
Where,
FV = Future value of the amount after your 18th birthday = $170,000
M = Yearly saving to have $170,000 = ?
r = interest rate = 6.5%, 0.065
n = number of years this savings will be made = 18
Substituting the values into equation (1) and solve for M, we have:
$170,000 = M * {[(1 + 0.065)^18 - 1] / 0.065}
$170,000 = M * 32.4100673759666
M = $170,000 / 32.4100673759666
M = $5,245.28
Therefore, they will have to save $5,245.28 each year to reach their goal of $170,000.
b. If they think you will take five years instead of four to graduate to graduate and decide to have $140,000 saved just in case, how much more would they have to save each year to reach their new goal?
First, we have to calculate how much they will save each year, by also using the Future Value (FV) for calculating an Ordinary Annuity as follows:
FVn = Mn * {[(1 + r)^n - 1] / r} ................................. (1)
Where,
FV1 = New future value of the amount after your 18th birthday = $140,000
M1 = New yearly saving to have $140,000 = ?
r = interest rate = 6.5%, 0.065
n = number of years this savings will be made = 18
Substituting the values into equation (1) and solve for M1, we have:
$140,000 = M1 * {[(1 + 0.065)^18 - 1] / 0.065}
$140,000 = M1 * 32.4100673759666
M1 = $140,000 / 32.4100673759666
M1 = $4,319.65
Therefore, they will have to save $4,319.65 each year to reach their goal of $140,000.
To obtain difference in yearly savings, we have:
Difference in yealy saving = M - M1 = $5,245.28 - $4,319.65 = $925.63
Since $5,245.28 each year to reach their goal of $170,000 is greater than $4,319.65 each year to reach their goal of $140,000, it therefore implies that they will have to save $925.63 less to reach their new goal of $140,000.
Midwest Fabricators Inc. is considering an investment in equipment that will replace direct labor. The equipment has a cost of $85,000 with a $7,000 residual value and a ten-year life. The equipment will replace one employee who has an average wage of $20,210 per year. In addition, the equipment will have operating and energy costs of $4,130 per year. Determine the average rate of return on the equipment, giving effect to straight-line depreciation on the investment. If required, round to the nearest whole percent. %
Answer:
17.89%
Explanation:
Calculation Determine the average rate of return on the equipment
Using this formula
Average rate of return =Avarage annual income /Average investment
Where,
Avarage annual income=Annual saving - Annual depreciation- Annual operating costs
Average investment= (Beginning costs + Residual value)÷2
Let plug in the formula
Average rate of return=$20,210 - ($85,000- $7,000)÷10 years-$4,130/($85,000+$7,000)÷2
Average rate of return=$20,210-($78,000÷10)-$4,180/($92,000)÷2
Average rate of return=$20,210-$7,800-$4,180/$46,000
Average rate of return=$8,230/$46,000
Average rate of return=0.1789*100
Average rate of return=17.89%
Therefore the average rate of return on the equipment will be 17.89%
Answer:
18%
Explanation:
This can be calculated as using the formula for calculating the average rate of return as follows:
Average rate of return = Average annual income / Average investment in equipment .................. (1)
To use equation (1), we first calculate the following:
Annual cost saving = $20,210
Annual depreciation = (Equipment cost - Residual value) / Useful number of years = ($85,000 - $7,000) / 10 = $7,800
Annual operating and energy costs = $4,130
Average annual income = Annual cost saving - Annual depreciation - Annual operating and energy costs = $20,210 - $7,800 - $4,130 = $8,280
Average investment in equipment = (Equipment cost + Residual value) / 2 = $46,000
Substituting the values for Average annual income and Average investment in equipment into equation (1), we have:
Average rate of return = $8,280 / $46,000 = 0.18, or 18%
