A random variable x is a numerical outcome of a probability experiment. There is a numerical value which is determined by chance for each outcome in the procedure or experiment. Therefore, a random variable is used for describing outcomes using numerical values.
x = time in minutes
Morrison and Greene have decided to form a partnership. They have agreed that Morrison is to invest $150,000 and that Greene is to invest $50,000. Morrison is to devote one-half time to the business, and Greene is to devote full time. The following plans for the division of income are being considered:
A. Equal division.
B. In the ratio of original investments.
C. In the ratio of time devoted to the business.
D. Interest of 6% on original investments and the remainder equally.
E. Interest of 6% on original investments, salary allowances of $40,000 to Morrison and $70,000 to Greene, and the remainder equally.
F. Plan (e), except that Greene is also to be allowed a bonus equal to 20% of the amount by which net income exceeds the total salary allowances.
Required:
For each plan, determine the division of the net income under each of the following assumptions: (1) net income of $115,000 and (2) net income of $200,000.
Answer:
1) net income = $115,000
a) Morrison receives $57,500
Greene receives $57,500
b) Morrison receives $86,250
Greene receives $28,750
c) Morrison receives $38,333
Greene receives $76,667
d) Morrison receives ($150,000 x 6%) + $51,500 = $60,500
Greene receives ($50,000 x 6%) + $51,500 = $54,500
e) Morrison receives $3,750 + $40,000 = $43,750
Greene receives $1,250 + $70,000 = $71,250
f) Morrison receives $3,750 + $40,000 = $43,750
Greene receives $1,250 + $70,000 = $71,250
2) net income = $200,000
a) Morrison receives $100,000
Greene receives $100,000
b) Morrison receives $150,000
Greene receives $50,000
c) Morrison receives $66,667
Greene receives $133,333
d) Morrison receives $9,000 + $94,000 = $101,000
Greene receives $3,000 + $94,000 = $97,000
e) Morrison receives $9,000 + $40,000 + $39,000 = $88,000
Greene receives $3,000 + $70,000 + $39,000 = $112,000
f) Morrison receives $9,000 + $40,000 + $30,000 = $79,000
Greene receives $3,000 + $70,000 + $18,000 + $30,000 = $121,000
A college student borrows $10,000 today at 10% interest compounded annually. Four years later, the student makes the first payment of $3000. Approximately how much money will the student still owe on the loan after the first payment
Answer:
$11,700
Explanation:
Calculation for how much money will the student still owe on the loan after the first payment
Using this formula
A=P(1+r/n)^nt
Where,
P =represent the principal amount $10,000
r =represent annual nominal interest rate 10/100= 0.1
n =represent the number of times the interest is compounded per year 1
t= represent number of years 4
Let plug in the formula
A=$10,000(1+0.1/1)^(1)(4)
A=$10,000(1.1)^4
A=$14,641
Since the student makes the first payment of the amount of $3,000 the amount of money that the student still owe on the loan after the first payment will be :
Loan Amount =$14,641-$3,000
Loan Amount =$11,641
Approximately $11,700
Therefore how much money will the student still owe on the loan after the first payment will be $11,700
The student still owes is $11,641.
The first step is to determine the future value of the loan:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of years$10,000(1.1)^4 = $14,641
The amount the student still owes = future value of the loan - amount paid
$14,641 - $3000 = $11,641.
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Sydney accepts delivery of $39,000 of merchandise it purchases for resale from Troy: invoice dated May 11, terms 3/10, n/90, FOB shipping point. The goods cost Troy $26,130.
Sydney pays $440 cash to Express Shipping for delivery charges on the merchandise.
Sydney returns $1,100 of the $39,000 of goods to Troy, who receives them the same day and restores them to its inventory. The returned goods had cost Troy $737.
Sydney pays Troy for the amount owed. Troy receives the cash immediately.
part 2 Prepare journal entries that Troy Wholesalers (seller) records for these three transactions.
Record the merchandise sold on account.
Record the cost of goods sold.
Record the sales return.
Record the cost of sales return.
Record the cash collected for credit sales.
Answer:
39,000 Explanation:
FOB shipping point. The goods cost Troy $26,130.
Lilliput is a country that has closed borders and does not import or export any goods or services; hence, they do not worry about trade with other countries. Total spending for the federal government of Lilliput for the last fiscal year was $4.71 billion. The country collected $4.83 billion in taxes during this same fiscal year. Assume government transfers were zero. Based on this information, what is Lilliput's budget balance
Answer: $0.12 billion
Explanation:
Based on the information given in the question:
Total spending for Lilliput last fiscal year = $4.71 billion
Tax collected(Revenue)= $4.83 billion
Government transfers = $0
Lilliput's budget balance based on the information provided will be:
= (Taxes - Government transfers) - Government expenditures
= ($4.83 billion - $0) - $4.71 billion
= $0.12 billion
explain the utility of statistics as a manegerial tool
Answer:
"Statistics is a board of method for maintaining knowledge. It is a simple and economical method to find the means and valuable data even for large numbers. In a managers life it is a very helpful tool to do analysis and making business growth values and make right forecast".
Explanation:
A stock just paid a dividend of $4.01 and is expected to maintain a constant dividend growth rate of 4.7 percent indefinitely. If the current stock price is $66, what is the required return on the stock?
Answer:
11.06%
Explanation:
According to the given situation, the computation of the required return on the stock is shown below:-
Required rate of return = Current Dividend × (1 + growth) ÷ Current Price + Growth
= $4.01 × (1 + 4.7%) ÷ 66 + 4.7%
= 11.06%
Therefore for computing the required rate of return we simply applied the above formula.
For an effective frame, the primary business message should be approximately ______ words in length.
Answer:
10 to 15
Explanation:
Business messaging in accounting can be described as a set of channels that provide means by which the firms/ company and the consumer can have effective communication.
The primary business message is very essential in business, it must reflect clarity as well as simplicity, it enables company to pass their overarching information to the consumer, they are intentional content. In a situation whereby operations in a company needed relocation, primary message is passed. It should be noted that For an effective frame, the primary business message should be approximately 10 to 15 words in length.
Hello!
For an effective frame, the primary business message should be approximately 10 to 15 words in length.
g You own shares of a company that reported after-tax earnings of $29 million and has issued 2 million shares of stock. The company's stock price is $5.09 per share. Calculate the company's price-earnings (PE) ratio.
Answer: 0.35
Explanation:
The Price to Earnings ratio is used to value companies and is calculated by dividing the company's stock price by its earnings per share.
Earnings per share = 29,000,000/2,000,000 shares
= $14.50
PE ratio = Share price / Earnings per share
= 5.09/14.50
= 0.35
Given a 4 percent interest rate, compute the year 6 future value of deposits made in years 1, 2, 3, and 4 of $1,600, $1,800, $1,800, and $2,100. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)
Answer:
$8,348.51
Explanation:
Computation of the year 6 future value of deposits
6 years Future value = $1,600 × (1 + 0.04)^5+ $1,800 × (1 + 0.04)^4+ $1,800 × (1 + 0.04)^3+ $2,100 × (1 + 0.04)^2
6 years Future value= $1,946.64 + $2,105.75 + $2,024.76 + $2,271.36
6 years Future value= $8,348.51
Therefore the year 6 future value of deposits will be $8,348.51
Which of the following is a reason the life cycle stage concept sometimes gets criticism?
It assumes that all products and services will eventually get to the decline phase.
There should actually be at least five stages, including adolescence.
Sometimes an organization skips the growth phase.
An organization may never get out of the introduction phase.
Answer:
It assumes that all products and services will eventually get to the decline phase.Explanation:
Your employer contributes $55 at the end of each week to your retirement account. The account will earn a weekly interest rate of .17 percent. How much will the account be worth when you retire in 25 years?
Answer:
FV= $262,014.43
Explanation:
Giving the following information:
Weekly deposit= $55
Interest rate= 0.0017
Number of periods= 25*52= 1,300
To calculate the future value, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= weekly deposit
FV= {55*[(1.0017^1,300) - 1]} / 0.0017
FV= $262,014.43
In 2020, Elbert Corporation had net cash provided by operating activities of $531,000, net cash used by investing activities of $963,000, and net cash provided by financing activities of $585,000. At January 1, 2020, the cash balance was $333,000. Compute December 31, 2020, cash.
Answer:
$486,000
Explanation:
Elbert Corporation
Cashflow Statement for the year ended December 31, 2020.
Cash flow from Operating Activities
Net cash provided by operating activities $531,000
Cash flow from Investing Activities
Net cash used by investing activities ($963,000)
Cash flow from Financing Activities
Net cash provided by financing activities $585,000
Movement during the year $153,000
Beginning Cash and Cash Equivalent $333,000
Ending Cash and Cash Equivalent $486,000
Therefore, December 31, 2020, cash balance is $486,000
During the fiscal year ended December 31, 2020, the City of Johnstown issued 5% general obligation serial bonds in the amount of $2,000,000 at 102 ($2,040,000) and used $1,990,000 of the proceeds to construct a fire station. The $40,000 premium was transferred to a debt service fund. The $10,000 left in the capital projects fund at the end of the project was later transferred to the debt service fund. The bonds were dated April 1, 2020 and paid interest on October 1 and April 1. The first of 10 equal annual principal payments was due on April 1, 2021. How would the government account for the transfer of the unused bond proceeds
Answer:
C) As an other financing source in the debt service fund and as an other financing use in the capital projects fund.
Explanation:
The options are missing:
A) As a revenue in the debt service fund and as an expenditure in the capital projects fund. B) As an other financing source in the capital projects fund and as an other financing use in the debt service fund. C) As an other financing source in the debt service fund and as an other financing use in the capital projects fund. D) As a special item in both the debt service and capital project funds.Other financing sources is an account used by governments to record non-operating revenues and expenditures. The debt service fund is the money that the government has set aside to pay for its outstanding bonds. The capital projects fund is the account used by the government to record expenses related to certain projects.
Mystic Laboratories reported total assets of $11,200,000 and noncurrent assets of $1,480,000. The company also reported a current ratio of 1.5. What amount of current liabilities did the company report
Answer:
$6,480,000
Explanation:
The computation of the amount of the current liabilities is shown below:
Total assets of $11,200,000
Less: Noncurrent assets $1,480,000
Current Assets = $9,720,000
Now as we know that
Current ratio = Current Assets ÷ Current Liabilities
Current Liabilites is
= $9,720,000 ÷ 1.5
= $6,480,000
hence, the current liabilities is $6,480,000
Q 20.27: Liberty Bicycles currently sells unassembled bikes for $240 each. The variable production costs for each bike are $35 and the fixed production costs are $72. Liberty is thinking about selling the bikes fully assembled for $300 each. The variable costs for assembling one bike will be $18 and the fixed costs will be $31. Given these figures, Liberty will increase its net income per unit by ________ if it opts to assemble the bikes.
Answer:
$11
Explanation:
Find the incremental effect on net income of assembling the bikes as follows :
Incremental analysis for assembling the bikes per unit
Sales ( $300 - $240) $60
Less incremental costs :
Variable costs ($18)
Fixed production costs ($31)
Incremental Income/(loss) $11
Conclusion
Thus Liberty will increase its net income per unit by $11 if it opts to assemble the bikes.
Lawn Master Company, a manufacturer of riding lawn mowers, has a projected income for the coming year as follows: Sales $ 44,000,000 Operating expenses: Variable expenses $ 28,600,000 Fixed expenses 7,700,000 Total expenses 36,300,000 Operating profit $ 7,700,000 Required: 1. Determine the breakeven point in sales dollars. 2. Determine the required sales in dollars to earn a before-tax profit of $9,152,500. (Do not round intermediate calculations. Round your answer to the nearest whole dollar amount.) 3. What is the breakeven point in sales dollars if the variable expenses increases by 9%
Answer:
Please see attached
Explanation:
• Break even point in sales dollars $22,000,000
• Required sales in dollars $48,150,000
• Break even point in sales dollars $34,010,600
See as attached, detailed solution to the questions above.
Answer:
Results are below.
Explanation:
Giving the following information:
Sales $44,000,000
Variable expenses $ 28,600,000
Fixed expenses 7,700,000
To calculate the break-even point in dollars, we need to use the following formula:
Break-even point (dollars)= fixed costs/ contribution margin ratio
Break-even point (dollars)= 7,700,000 / [(44,000,000 - 28,600,000)/44,000,000]
Break-even point (dollars)= $22,000,000
Now, we incorporate the desired profit of $9,152,500
Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio
Break-even point (dollars)= (7,700,000 + 9,152,500) /0.35
Break-even point (dollars)= $48,150,000
Finally, the new break-even point in dollars:
Total variable cost= 28,600,000*1.09= 31,174,000
Break-even point (dollars)= 7,700,000 / [(44,000,000 - 31,174,000) / 44,000,000]
Break-even point (dollars)= 7,700,000 / 0.2915
Break-even point (dollars)= $26,415,094.34
Fun Vehicles, Inc. makes beach buggies on an assembly line. The total productive time to make one buggy is 300 seconds. The current line has a 90-second cycle time and consists of four workstations. The balance delay of this line must be:
Answer: Greater than 12% but less than 18%.
Explanation:
Total productive time, p is given as:
= 300 seconds
Cycle time, c = 90 seconds
The number of workstations, n is given as = 4
The formula to solve this will be:
= [p/(n x c)] x 100
= [300/(4 x 90)] x 100
=[(300/360) x 100
= 0.83 × 100
Line efficiency = 83.33%
Since the line efficiency has been gotten, we then calculate the balance delay which will be:
Balance delay = 100 - Line efficiency
= 100% - 83.33%
= 16.67%
The answer then will be Greater than 12% but less than 18%.
which entity will meet the following requirements 1. unlimited number of owners 2. limited liability 3. self-employment tax on all income
Answer: Limited Liability Company (LLC)
Explanation:
Limited Liability Companies are allowed to have as many owners (members) as possible and all these owners have limited liability in case the business defaults on its debt obligations.
LLCs also pay self-employment tax on income as a replacement for the Medicare and Social Security taxes the members would have paid if they were employed by an entity.
Hatch Corporation's target capital structure is 40% debt, 50% common stock, and 10% preferred stock. Information regarding the company's cost of capital can be summarized as follows: The company's bonds have a nominal yield to maturity of 7%. The company's preferred stock sells for $40 a share and pays an annual dividend of $4 a share. The company's common stock sells for $25 a share and is expected to pay a dividend of $2 a share at the end of the year (i.e., D1 = $2.00). The dividend is expected to grow at a constant rate of 7% a year. The company has no retained earnings. The company's tax rate is 40%. What is the company's weighted average cost of capital (WACC)?
Answer:
WACC = 0.1018 or 10.18%
Explanation:
The WACC or Weighted average cost of capital is the cost of a firm's capital structure that can be made of one or all of the following components namely debt, preferred stock and common equity.
The formula to calculate is as follows,
WACC = wD * tD * (1- tax rate) + wP * rP + wE * rE
Where,
w represents the weight of each component in capital structurer represents the cost of each componentD, P and E represents debt, preferred stock and Common Equity respectively.Cost of bond = 7%
Cost of preferred stock = 4/40 = 10%
Cost of Common Equity :
25 = 2 / (r - 0.07)
25 * (r - 0.07) = 2
25r - 1.75 = 2
25r = 2 + 1.75
r = 3.75 / 25
r = 0.15 or 15%
WACC = 0.4 * 0.07 * (1 - 0.4) + 0.1 * 0.1 + 0.5 * 0.15
WACC = 0.1018 or 10.18%
A bank estimates that their average balance on demand deposit accounts is $3,500, net of float. Each account costs the bank $250 per year in processing costs. The bank collects an average of $10 per month on each account in service charges. Assume reserve requirements are 10%. What is the net cost of an average demand deposit
Answer:
4.1%
Explanation:
Net cost of average demand deposit is computed as;
Net cost = (Non interest expense - Non interest income) / [Average balance × (1-RR)]
Annual non interest income= 12 × $10 = $120
Non interest expense = $250
Average balance = $3,500
RR = 10%
Therefore,
Net cost = ($250 - $120) / [$3,500 × (1-0.10)]
Net cost = $130 / $3,150
Net cost = 4.1%
What percentage of millennials have $100,000 or
or more invested for retirement?
Answer:
16% hit this milestone in 2018
Explanation:
Almost a quarter of the millennial generation (defined here as those aged 24 to 41) has $100,000 or more in savings, up from 16% in 2018.
They questioned millennials at the start of the poll if they are actively saving for retirement through an investment account such as a 401(k) or Individual Retirement Account (IRA).
The departure from one's post or occupation, or from one's active working life, is referred to as retirement. Semi-retirement can also be achieved by lowering work hours or workload.
Therefore, 16% of millennials have $100,000 or more invested for retirement.
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Residential Investment Payments of Factor Income to the rest of the world National Income Inventory Adjustment 0.00 Personal Consumption Expenditure Depreciation Exports Nonresidential Investment Receipts of Factor Income from the Rest of the World Government Transfer Payment 200.00 Statistical Discrepancy 0.00 Imports Using the above information calculate the values of GDP, GNP, NNP and Government Consumption and Gross Investment (G).
Please find full question attached
Answer and Explanation:
Gross domestic product is calculated:
Gross Domestic Product(GDP) = Gross National Product (GNP) - Receipts of factor income from rest of the world + Payments of factor income to the rest of the world
So to find GDP, we calculate GNP
GNP = NNP+Depreciation
To calculate GNP, we calculate NNP:
Net national product (NNP) =national income, so we have,
NNP = $2,445 billion
GNP = NNP + Depreciation = $2,445+$75
GNP = $2,520 billion
So we substitute in GDP formula to calculate GDP
GDP = 2,520 - 70 + 50 = $2500 billion
GDP = $2,500 billion
Government consumption and gross investment= Government transfer payments + Non-residential investments
Government consumption and gross investment is given by G
G = 200+250 = $450 billion
G = $450 billion
On April 1, 2020, the City of Southern Ponds issued $5,000,000 in 4% general obligation, tax supported bonds at 101 for the purpose of constructing a new police station. The premium was transferred to a debt service fund. A total of $4,990,000 was used to construct the police station, which was completed before December 31, 2020, the end of the fiscal year. The remaining funds were transferred to the debt service fund. The bonds were dated April 1, 2020, and paid interest on October 1 and April 1. The first of 20 equal annual principal payments of $250,000 is due April 1, 2021. In addition to reporting Bonds Payable and (unamortized) Bond Premium in the government-wide Statement of Net Position, how would the bond sale be reported
Answer:
$100,000
$350,000
Explanation:
The bond sale be reported as debt service expenditures for 2020 and 2021 can be calculated as follows
The Amount would be reported as debt service expenditures for 2020
= $5,000,000 x 4% x 1/2 year
= $100,000
The amount would be reported as debt service expenditures for 2021
= $5,000,000 x 4% + $250,000
= $350,000
Dorchester Company had the following balances at the end of 2018 and 2019 respectively: Net Credit Sales - $875,000 for 2018 and $1,032,000 for 2019. Accounts Receivable - $84,000 for 2018 and $107,000 for 2019. Allowance for Doubtful Accounts - $4,000 for 2018 and 7,500 for 2019 Calculate the accounts receivable turnover ratio to one decimal place.
Answer:Accounts Receivable Turnover Ratio = 11.50 times
Explanation:
Accounts Receivable Turnover Ratio is calculated using
Net Credit Sales / Average Accounts Receivable
Net Credit Sales for 2019 = $1,032,000
Net Accounts Receivable in 2018 = Accounts Receivable in 2018 - Allowance for Doubtful Accounts in 2018
= $84,000 - $4,000
= $80,000
Net Accounts Receivable in 2019 = Accounts Receivable in 2019 - Allowance for Doubtful Accounts in 2019
= $107,000 - $7,500
= $99,500
Average Accounts Receivable = (Net Accounts Receivable in 2018 + Net Accounts Receivable in 2019) / 2
= ($80,000 + $99,500) / 2
= $179,500 / 2
= $89,750
Accounts Receivable Turnover Ratio = Net Credit Sales in 2019 / Average Accounts Receivable
= $1,032,000/ $89,750
= 11.498
= 11.50 times
Answer:
PoyPoy
Explanation:
what is an example of what a business would write a check for
Answer:
To pay in taxes, to purchase goods to make things if the business is a factory etc. hope this helps
Explanation:
Nancy Company has an idle machine that originally cost $200,000. The book value of the machine is $100,000. The company is considering three alternative uses of the idle machine: Alternative 1: Disposal of machine. Disposal value of machine is $50,000. Alternative 2: Use the idle machine to increase production of Product A. Contribution margin from additional sales of Product A is estimated to be $60,000. Alternative 3: Use the idle machine to increase production of Product B. Contribution margin from additional sales of Product B is estimated to be $70,000. When considering Alternative 2, what is the opportunity cost of the idle machine
Answer:
$10,000
Explanation:
The opportunity cost of the idle machine when considering Alternative 2 can be calculated by deducting the benefit from alternative 2 from the benefits of alternative 3
DATA
Benefits from alternative 1 = $50,000
Benefit from alternative 2 = $60,000
Benefit from alternative 3 = $70,000
Net financial benefit from Alternative 3 = Benefit from alternative 3 - opportunity cost
Net financial benefit from Alternative 3 = $70000-60000
Net financial benefit from Alternative 3 = $10000
Kent Manufacturing produces a product that sells for $64.00 and has variable costs of $35.00 per unit. Fixed costs are $348,000. Kent can buy a new production machine that will increase fixed costs by $20,500 per year, but will decrease variable costs by $4.50 per unit.
Required:
Compute the contribution margin per unit if the machine is purchased.
Answer:
The contribution margin per unit is $33.50
Explanation:
The contribution margin per unit in the case when the machine is purchased is shown below:
= Selling price per unit - variable cost per unit
= $64 - ($35 - $4.50)
= $64 - $30.50
= $33.50
hence, the contribution margin per unit is $33.50 and the same is to be considered
We simply applied the above formula
A particular raw material is available to a company at three different prices, depending on the size of the order: Less than 100 pounds $ 25 per pound 100 pounds to 3,999 pounds $ 24 per pound 4,000 pounds or more $ 23 per pound The cost to place an order is $40. Annual demand is 2,700 units. Holding (or carrying) cost is 25 percent of the material price. What is the economic order quantity to buy each time, and its total cost
Answer:
EOQ = 201 units
total cost = $66,007.35
Explanation:
we can calculate the EOQ using 2 different prices (it makes no sense to use $23 since the minimum order size is larger than annual demand):
EOQ = √[(2 x S x D) / H]
S = order costD = annual demandH = holding cost$25 per unit
S = $45
D = 2,700
H = $25 x 25% = $6.25
EOQ = √[(2 x 45 x 2,700) / 6.25] = 197.18
$24 per unit
S = $45
D = 2,700
H = $24 x 25% = $6
EOQ = √[(2 x 45 x 2,700) / 6] = 201.25 ≈ 201 units
since both EOQs are higher than 100 units, then we must use $24 per unit
you have to make 2,700 / 201 = 13.43
total cost = (13.43 x $45) + (2,700 x $24) + (201 x $6 x 0.5) = $604.35 + $64,800 + $603 = $66,007.35
Strong Metals Inc. purchased a new stamping machine at the beginning of the year at a cost of $1,567,500. The estimated residual value was $82,500. Assume that the estimated useful life was five years and the estimated productive life of the machine was 300,000 units. Actual annual production was as follows: Year Units 1 70,000 2 67,000 3 50,000 4 73,000 5 40,000 Required: 1. Complete a separate depreciation schedule for each of the alternative methods. a. Straight-line. b. Units-of-production. c. Double-declining-balance.
Answer:
See answer below.
Explanation:
The depreciable amount of the machine is computed as follows.
cost - residual value = 1,567,500 - 82,500 = $1,485,000.
Estimated usefule life = 5 years
Question 1
Using the straight line depreciation method, the asset will be depreciated equally every year by [tex]\frac{Total Depreciation}{UsefulLife} =\frac{1,485,000}{5} =297,000[/tex]
Year 1 Depreciation = $297,000
Year 2 Depreciation = $297,000
Year 3 Depreciation = $297,000
Year 4 Depreciation = $297,000
Year 5 Depreciation = $297,000
Question 2
Using the unit of production method, the machine will be depreciated by the ratio of actual usage to estimated production life, until it is fully depreciated.
Year 1 Depreciation = [tex]\frac{Annual Usage}{Estimated Life} *Total Depreciation=\frac{170,000}{300,000} *1,485,000[/tex] = $841,500
Year 2 Depreciation = [tex]\frac{67,000}{300,000} *1,485,000[/tex] = $331,650
Year 3 Depreciation = [tex]\frac{50,000}{300,000} *1,485,000[/tex] = $247,500
Year 4 Depreciation = [tex]Total Depreciation - Accumulated Depreciation=1,485,000-(841,500+331,650+247,500)[/tex]= $64,350
Year 5 Depreciation = 0.
Year 4 computation arose because the computed depreciation using the unit of production method [tex]\frac{73,000}{300,000} *1,485,000=361,350[/tex] would push the computed accumulated depreciation beyond the total depreciation allowed. As such, the residual balance was adopted in year 4.
Question 3
Using the double declining balance method, the machine would be depreciated at twice the depreciation rate of the straight line balance on the reducing balance of the asset, until this method results in a depreciation figure lower than the straight line method.
Depreciation rate = [tex]2*StraightLineRate=2*(\frac{1}{5} )= 2* 0.20=0.40[/tex] = 40%
Year 1 depreciation = [tex]0.40*1,485,000[/tex] = $594,000
Year 2 depreciation = [tex]0.40*(1,485,000-594,000)[/tex] = $356,400
Year 3 depreciation = [tex]\frac{1,485,000-594,000-356,400}{3}[/tex]= $178,200
Year 4 depreciation = [tex]\frac{1,485,000-594,000-356,400}{3}[/tex]= $178,200
Year 5 depreciation = [tex]\frac{1,485,000-594,000-356,400}{3}[/tex]= $178,200.
Because year 3 depreciation using the usual double declining method [tex]0.40*(1,485,000-594,000-356,400)= 213,840[/tex] would result in a figure lower than the straight line depreciation rate (297,000), we used the straight line formula for the depreciation from years 3 to 5.
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