Answer:
24,000
Explanation:
Chelsea company had sales of $400,000
Variable cost is $10 per unit
Fixed costs is $100,000
Tarhet profit is $60,000
Thetefore The units sold can be calculated as follows
400,000-10Q-$100,000= $60,000
$400,000-$100,000-10Q= $60,000
$300,000-Q= $60,000
$300,000-$60,000= 10Q
$240,000= 10Q
Q= 240,000/10
Q= 24,000
Cycle Time and Velocity In the first quarter of operations, a manufacturing cell produced 85,000 stereo speakers, using 20,000 production hours. In the second quarter, the cycle time was 10 minutes per unit with the same number of production hours as were used in the first quarter. Required: 1. Compute the velocity (per hour) for the first quarter. If required, round your answer to two decimal places. fill in the blank 1 units per hour 2. Compute the cycle time for the first quarter (minutes per unit produced). If required, round your answer to two decimal places. fill in the blank 2 minutes per unit 3. How many units were produced in the second quarter
Answer:
1. Velocity per hour= 4.35 units per hour
2. Cycle time=0.24
3. Units produced= 120,000 units
Explanation:
1.Computation for the velocity (per hour) for the first quarter.
Velocity per hour=85,000 units / 20,000 hour
Velocity per hour= 4.35 units per hour
2.Compution for the cycle time for the Frst quarter
Cycle time =20,000 hour/85,000 units
Cycle time=0.24
3. Calculation for How many units were produced in the second quarter
Units produced =60 minutes / 10 minutes per units * 20,000 Hours
Units produced= 120,000 units
Sherman, Inc. manufactures chainsaws that sell for $65. Each chainsaw uses $14 in direct materials and $9 in direct labor per unit. Sherman has two activities: Machining, which is applied at the rate of $4 per machine hour, and Finishing, which is applied at the rate of $20 per batch. This month, Sherman made 225 chainsaws, using 1,125 machine hours in 45 batches. What is the gross profit for one chainsaw
Answer: $18
Explanation:
Based on the information,
Sales revenue = $65 × 225 = $14625
Cost of goods sold = (45 × $20) + (1125 × $4) + (225 × $14) + (225 × $9)
= $900 + $4500 + $3150 + $2025
= $10575
Gross profit = Sales revenue - Cost
= $14625 - $10575
= $4050
The gross profit for one chainsaw will be:
= $4050/225
= $18
On January 1, 2020, Echo Company issued $550,000, 16 year, 9%, annual, callable bonds for $475,000. On December 31, 2025, Echo Company redeemed (called) the bonds at 102. REQUIRED: 1. Prepare the Journal Entry to record the Issuance of the Bond 2. Determine the amount of the Discount/Premium that is still not amortized (using the Straight-Line Method) 3. Prepare the Journal Entry to record the Retirement (Redemption) of the Bond.
Answer:
1. Prepare the Journal Entry to record the Issuance of the Bond
January 1, 2020, bonds issued at a discount
Dr Cash 475,000
Dr Discount on bonds payable 75,000
Cr Bonds payable 550,000
2. Determine the amount of the Discount/Premium that is still not amortized (using the Straight-Line Method)
total bond life = 16 years, 5 years have passed
amortization of bond discount per coupon payment = $75,000 / 16 = $4,687.50
so $51,562.50 have not been amortized yet
3. Prepare the Journal Entry to record the Retirement (Redemption) of the Bond.
Before being able to redeem the bonds, the remaining discount must be amortized:
December 31, 2025, amortization of bond discount
Dr Interest expense 51,562.50
Cr Discount on bonds payable 51,562.50
the journal entry to record the redemption of the bonds
December 31, 2025, bonds redeemed at a loss
Dr Bonds payable 550,000
Dr Loss on retirement of debt 11,000
Cr Cash 561,000
Cellular Access Inc., is a cellular telephone service provider that reported net operating profit after tax (or unlevered net profit) of $250 million for the most recent fiscal year. The firm had depreciation expenses of $100 million, capital expenditures of $200 million, no interest expense, and an income tax rate of 30%. Working capital increased by $10 million. Calculate the free cash flow for Cellular Access for the most recent fiscal year.
Answer: $65 million
Explanation:
The Free Cash Flow will be calculated as:
= EBIT(1-t) + Dep & Amortisation- Changes in Working Capital- Capital Expenditure
= 250(1-30%) + 100 - 200 - 10
= 250(0.7) + 100 - 200 - 10
= 175 + 100 - 210
= $65 million
briefly explain goals of business
Amortization Expense For each of the following unrelated situations, calculate the annual amortization expense and prepare a journal entry to record the expense: A patent with a 10-year remaining legal life was purchased for $350,000. The patent will be commercially exploitable for another eight years. A patent was acquired on a device designed by a production worker. Although the cost of the patent to date consisted of $52,300 in legal fees for handling the patent application, the patent should be commercially valuable during its entire remaining legal life of 10 years and is currently worth $400,000. A franchise granting exclusive distribution rights for a new solar water heater within a three-state area for five years was obtained at a cost of $70,000. Satisfactory sales performance over the five years permits renewal of the franchise for another three years (at an additional cost determined at renewal). General Journal Ref. Description Debit Credit a. Answer Amortization Expense - Patents Answer 43,750 Answer Answer Patents Answer Answer 43,750 To record patent amortization. b. Answer Amortization Expense - Patents Answer 5,230 Answer Answer Patents Answer Answer 5,230 To record patent amortization. c. Answer Amortization Expense - Patents Answer 14,000 Answer Answer Patents Answer Answer 14,000 To record franchise amortization.
Answer:
A. Dr Amortization expense $43,750
Cr Patents $43,750
B. Dr Amortization expense $5,230
Cr Patents $5,230
C. Dr Amortization expense $14,000
Cr Franchises $14,000
Explanation:
Preparation of Journal entries
A. Dr Amortization expense $43,750
($350,000÷8 years = $43,750)
Cr Patents $43,750
(To record paten Amortization expense)
B. Dr Amortization expense $5,230
($52,300÷10 years = $5,230)
Cr Patents $5,230
(To record patent Amortization expense)
C. Dr Amortization expense $14,000
($70,000÷5 years = $14,000)
Cr Franchises $14,000
(To record Franchises Amortization expense)
The journal entries for each transaction is given below.
Journal entries;A)
Amortization expense $43750 ( $350000/8 )
Patent $43750
Here expense is debited as it increased the expense and credited the patent as it decreased the assets.
B)
Amortization expense $5230 ( $52300/10 )
Patents $5230
Here only the original cost of patent should be amortized
Here expense is debited as it increased the expense and credited the patent as it decreased the assets.
C)
Amortization expense $14000 ( $70000/5)
Franchise $14000
Here expense is debited as it increased the expense and credited the franchise as it decreased the assets.
Learn more about journal entry here: https://brainly.com/question/24519299
How are the four areas of operations control interrelated?
A company produces a single product. Variable production costs are $12.90 per unit and variable selling and administrative expenses are $3.90 per unit. Fixed manufacturing overhead totals $45,000 and fixed selling and administration expenses total $49,000. Assuming a beginning inventory of zero, production of 4,900 units and sales of 4,050 units, the dollar value of the ending inventory under variable costing would be:
Answer:
$10,965
Explanation:
Computation for the dollar value of the ending inventory under variable costing
First step is to find the Units in ending inventory
Using this formula
Units in ending inventory = Units in beginning inventory + Units produced−Units sold
Let plug in the formula
Units in ending inventory= 0 units + 4,900 units−4,050 units
Units in ending inventory = 850 units
Last step is to find the Value of ending inventory under variable costing
Using this formula
Value of ending inventory under variable costing = Unit in ending inventory × Variable production cost
Let plug in the formula
Value of ending inventory under variable costing= 850 units × $12.90 per unit
Value of ending inventory under variable costing = $10,965
Therefore the dollar value of the ending inventory under variable costing would be $10,965
Division A makes a part that it sells to customers outside of the company. Data concerning this part appear below: Selling price to outside customers $ 40 Variable cost per unit $ 30 Total fixed costs $ 10,000 Capacity in units 20,000 Division B of the same company would like to use the part manufactured by Division A in one of its products. Division B currently purchases a similar part made by an outside company for $38 per unit and would substitute the part made by Division A. Division B requires 5,000 units of the part each period. Division A has ample capacity to produce the units for Division B without any increase in fixed costs and without cutting into sales to outside customers. If Division A sells to Division B rather than to outside customers, the variable cost be unit would be $1 lower. What is the lowest acceptable transfer price Division A should accept
Answer:
Lower selling price= $29
Explanation:
Giving the following information:
Selling price to outside customers $40
Variable cost per unit $ 30
Total fixed costs $10,000
Capacity in units 20,000
The variable cost per unit would be $1 lower.
Because there is unused capacity, and it won't affect other sales. We will not take into account the fixed costs.
The lower selling price is the one that equals the unitary variable cost.
Unitary variable cost= 30 - 1= $29
Lower selling price= $29
[Same investments as the prior question] Suppose two local start-ups are raising funding by issuing shares of equity at $10,000 per share. One start-up is a whiskey distillery; the other is a beer brewery. You estimate the expected returns on your investment to be 50% over five years in both cases. You also believe that the likelihood of being paid out $20,000 per share is greater with the distillery than with the brewery. Suppose now that you hold a portfolio of many other risky assets, and that this would be your N 1 investment. Which investment do you prefer to make, the distillery or the brewery
Answer:
you should purchase the brewery's stock
Explanation:
First of all, as investors we should always try to maximize our returns while avoiding risks. It is really hard to balance both, but we must compare stocks to see which may represent a higher gain while posing the lesser or same risk.
Initial investment in each = $10,000 (equal for both)expected returns over 5 years = $5,000 (equal for both)but there is a higher possibility of the distillery's stock being more valuable, and that makes a difference.Both stocks seem equally risky, but they are not. When you calculate expected returns, you multiply the possible returns by their probability. I'm not sure how they calculated the expected returns of the above stocks, but the following can help you understand my point:
stock B return probability expected return
great 100% 25% 25%
normal 50% 50% 25%
bad 0% 25% 0%
total 100% 50%
stock D return probability expected return
great 100% 30% 30%
normal 50% 40% 20%
bad 0% 30% 0%
total 100% 50%
Both stocks have the same expected return, but stock B is less risky because the chance of being a bad investment is lower.
you can acquire an existing business for $2 million. You are uncertain about future demand. There is a 40% chance of high demand, in which case the present value of the business will be $3 million. There is a 25% chance of moderate demand, and the associated present value is $1.5 million. Finally, there is a 35% chance of low demand, in which case the present value is $1 million. Draw a decision tree for this problem. What is the expected net present value of the business
Answer:
Expected net present value of the project = $1,925,000
Explanation:
The cost of acquiring business = $2,000,000
Expected net present value of the project = High demand NPV*High demand percent + Moderate demand NPV*Moderate demand percent + Low demand NPV*Low demand percent
Expected net present value of the project = $3,000,000 *40% + $1,500,000*25% + $1,000,000*35%
Expected net present value of the project = $1,200,000 + $375,000 + $350,000
Expected net present value of the project = $1,925,000
Conclusion: The cost of acquiring business is more than expected net present value, it is advisable not to invest in the project.
When determining the value of a firm, which of the following statements is true? Investors are risk averse. Other things being equal, they prefer to pay more for stocks that are less risky and that have relatively more certain cash flows than other stocks. Investors love risk. Other things being equal, they prefer to pay more for stocks that are riskier and have uncertain cash flows. Investors are risk neutral. Other things being equal, they prefer to pay more for stocks that are less risky and have uncertain cash flows.
Answer:
Investors are risk averse. Other things being equal, they prefer to pay more for stocks that are less risky and that have relatively more certain cash flows than other stocks
Explanation:
A risk averse investor is an investor that would want lower returns from investments would lower risks
A risk neutral investor in neutral towards risks. They can invest in projects with high or low risks
A risk loving investor in an investor who prefers a person prefers risky return over guaranteed return
By how much does GDP rise in each of the fol- lowing scenarios? Explain. (a) A computer company buys parts from a local distributor for $1 million, assembles the parts, and sells the resulting computers for $2 million. (b) A real estate agent sells a house for $200,000 that the previous owners had bought 10 years earlier for $100,000. The agent earns a commission of $6,000. (c) During a recession, the government raises unemployment benefits by $100 million. (d) A new U.S. airline purchases and imports $50 million worth of airplanes from the European company Airbus.
Answer:
a. GDP increases by $2 million. Only final good and services are included in GDP. the parts used in making the computer represents intermediate goods. Intermediate goods are not included in the calculation of GDP.
b. GDP would increase by $6000. Only goods produced in the current year are included in GDP. The house wasn't built in the current year so it would not be included in GDP. So, only the agent's fees would be included
c. 0 Transfer payments are not included in GDP
d.0. Imports would increases and net export would decrease. Also, business spending would increase. Taking these two effects together, there would be no change in GDP
Explanation:
Gross domestic product is the total sum of final goods and services produced in an economy within a given period which is usually a year
GDP calculated using the expenditure approach = Consumption spending by households + Investment spending by businesses + Government spending + Net export
Net export = exports imports
When exports exceed import there is a trade deficit and when import exceeds import, there is a trade surplus.
Items not included in the calculation off GDP includes:
services not rendered to oneself
Activities not reported to the government
illegal activities
sale or purchase of used products
sale or purchase of intermediate products
You will invest $25,000 in an ice cream shop your sister is starting. You expect to triple your investment in six years. What is the rate of return that you have in mind? (Rounded to the nearest percent.)
Answer:
r = 20.09%
Explanation:
we can use the future value formula to calculate the expected rate of return:
future value = present value x (1 + r)ⁿ
future value = $25,000 x 3 = $75,000present value = $25,000n = 6$75,000 = $25,000 x (1 + r)⁶
(1 + r)⁶ = $75,000 / $25,000 = 3
⁶√(1 + r)⁶ = ⁶√3
1 + r = 1.2009
r = 0.2009 = 20.09%
Penny Worth Gaming, a computer enhancement company, has three product lines: audio enhancers, video enhancers, and connection-speed accelerators. Common costs are allocated based on relative sales. A product line income statement follows: Penny Worth Gaming Income Statement For the Year Ended December 31, 2017 Audio Video Accelerators Total Sales $1,200,000 $2,450,000 $2,400,000 $6,050,000 Less cost of goods sold 730,000 1,435,000 2,070,000 4,235,000 Gross margin 470,000 1,015,000 330,000 1,815,000 Less other variable costs 56,570 68,850 21,190 146,610 Contribution margin 413,430 946,150 308,810 1,668,390 Less direct salaries 152,160 164,690 60,340 377,190 Less common fixed costs: Rent 11,970 25,830 25,200 63,000 Utilities 4,370 9,430 9,200 23,000 Depreciation 5,890 12,710 12,400 31,000 Other administrative costs 79,230 170,970 166,800 417,000 Net income $159,810 $562,520 $34,870 $757,200 Since the profit for accelerator devices is relatively low, the company is considering dropping this product line. Determine the annual impact on profit of dropping accelerator products. The company will be off by $ if it drops accelerators.
Answer:
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Explanation:
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Sheridan Company reports:
Cash provided by operating activities $ 329000
Cash used by investing activities 119000
Cash provided by financing activities 139000
Beginning cash balance 92000
What is Sheridan’s ending cash balance?
Answer: $441,000
Explanation:
The following can be deuced from the question:
Cash provided by operating activities = $329000
Cash used by investing activities = $119000
Cash provided by financing activities = $139000
Beginning cash balance = $92000
Sheridan’s ending cash balance will be:
= Beginning cash balance + cash provided by operating activities + cash provided by financing activities - cash used by operating activities
= $92000 + $329000 + $139000 - $119000
= $441,000
Nash Company reported 2020 net income of $152,900. During 2020, accounts receivable increased by $17,160 and accounts payable increased by $9,582. Depreciation expense was $48,000. Prepare the cash flows from operating activities section of the statement of cash flows. (Show amounts that decrease cash flow with either a - sign e.g. -15,000 or in parenthesis e.g. (15,000).) NASH COMPANY Cash Flow Statement choose the accounting period select an opening section name select an item $enter a dollar amount Adjustments to reconcile net income to select a subsection name select an item $enter a dollar amount select an item enter a dollar amount select an item enter a dollar amount enter a subtotal of the adjustments select a closing section name $enter a total amount for the section
Answer:
$112,478
Explanation:
Cash flows from operating activities
Net income $152,900
Adjustments to reconcile net income
Depreciation expense $48,000
Increase in accounts payable $9,582
Increase in accounts receivable $ (17,160) $40,422
Net cash provided by operating activities $112,478
Hlleym762 Inc. is a merchandising company. Last month the company's cost of goods sold was $62,600. The company's beginning merchandise inventory was $16,600 and its ending merchandise inventory was $25,200. What was the total amount of the company's merchandise purchases for the month?
Answer:
Purchases = $71200
Explanation:
Using the Cost of Goods Section from the Income statement, we can calculate the Purchases of merchandise for the month. The cost of Goods sold is calculated as follows,
Cost of Goods Sold = Opening Inventory + Purchases - Closing Inventory
As we already have values for Cost of Goods Sold, Opening inventory and closing inventory, we can plug the values in the above formula to calculate the value of purchases.
62600 = 16600 + Purchases - 25200
62600 + 25200 - 16600 = Purchases
Purchases = $71200
Assume you purchase a Harley-Davidson Corporation bond that pays 5 percent or annual interest of $50 and has a face value of $1000. Also, assume new corporate bond issues of comparable quality are currently paying 6 percent. What is the approximate market value?
Answer:
$833.33
Explanation:
Annual Interest Paid = $50
Market Interest rate = 6%
The approximate market value = Annual interest paid / Market Interest rate
The approximate market value = $50 / 6%
The approximate market value = $50 / 0.06
The approximate market value = 833.3333333333333
The approximate market value = $833.33
A bank offers 8.00% on savings accounts. What is the effective annual rate if interest is compounded semi-annually?Percentage Round to: 4 decimal places (Example: 9.2434%, % sign required. Will accept decimal format rounded to 6 decimal places (ex: 0.092434))
Answer:
Effective Annual Rate = 8.1600%
Explanation:
The effective annual rate the interest rate that is adjusted for compounding over a given period of time. It is given by the formula:
[tex]r = (1+\frac{i}{n})^n -1\\where:\\r = effective\ annual\ rate\\i = nominal\ interest\ rate\ = 8.00\% = 0.08 \\n = number\ of\ compounding\ periods\ per\ year\ = 2\ (semi-annually)[/tex]
[tex]r = (1+\frac{0.08}{2})^2 -1\\r = (1\ +\ 0.04)^2 - 1\\r = (1.04)^2 - 1\\r = 1.0816 - 1\\r = 0.0816\\r = 8.1600 \%[/tex]
Delphi Company uses job-order costing. It applies overhead to jobs using a predetermined overhead rate based on machine-hours. At the beginning of the year, Delphi estimated that it would work 37,000 machine-hours and incur $222,000 in manufacturing overhead cost. The following transactions were recorded for the year: a. Raw materials were issued for use in production, $367,000 ($345,000 direct and $22,000 indirect). b. Employee costs were incurred: direct labor, $309,000; indirect labor, $44,000; and administrative salaries, $155,000. c. Factory depreciation, $175,000. d. Selling costs, $140,000. e. Manufacture overhead was applied to jobs. The actual machine hours for the year were 35,000 hours. a. Compute the total manufacturing overhead cost applied to jobs during the year.
Answer:
Allocated MOH= $210,000
Explanation:
First, we need to calculate the predetermined overhead rate:
Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base
Predetermined manufacturing overhead rate= 222,000/37,000
Predetermined manufacturing overhead rate= $6 per machine hour
Now, we cal allocate overhead:
Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base
Allocated MOH= 6*35,000
Allocated MOH= $210,000
Yoshi Co.'s 12/31/2020 inventory on a FIFO basis was $980,000. The following information is available: Estimated selling price is $1,020,000; Estimated cost of disposal is $40,000; Normal profit margin is $120,000; and Current replacement cost is $900,000. At 12/31/2020, assuming Yoshi uses the loss method, what amount of loss should Yoshi record from applying LCM
Answer:
Yoshi Co.
The amount of loss that Yoshi Co. should record from applying LCM (the lower of Cost or Market price) is:
$40,000
Explanation:
a) Data and Calculations:
FIFO inventory on 12/31/2020 = $980,000
Current replacement cost = $900,000
Net realizable value = $980,000 ($1,020,000 - $40,000)
Normal profit margin = $120,000
Loss to be recognized based on current replacement cost = FIFO purchase cost minus Current replacement cost
= $80,000 ($980,000 - $900,000)
b) Under the US GAAP (generally accepted accounting principles) of prudence and conservatism, the loss of $80,000 must be recognized in the current period, since the inventory will be booked at $900,000, its current replacement cost, which is lower than the FIFO purchase cost of $980,000.
A decreasing-cost industry is one in which: a. contraction of the industry will decrease unit costs. b. input prices fall or technology improves as the industry expands. c. the long-run supply curve is perfectly elastic. d. the long-run supply curve is upsloping.
Answer:
B
Explanation:
When we talk of a decreasing cost industry, we refer to an industry in which the expansion of the industry will lead to a decrease in the unit production cost.
So with respect to the question at hand , the correct answer is that the input prices will fall as industry expands
The case of a a technological improvement is expected to drive a decrease in the input prices for production in the expanding industry
la) State clearly 1 consumer need which is met by "Canadian Living" magazine. Be careful to remember that needs are "states of deprivation" felt by a person
Pls help
Answer:
Need to perform everyday tasks like cooking.
Explanation:
For example, Canadian Living magazines has a record of often publishing articles related to new cooking recipes that are cheap and affordable.
Many consumers often need information that can help that can assist them in cooking nutritional foods at the best price possible.
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
The Lexington Partnership has a depreciable business asset (personal property) that it originally purchased for $81,800. The asset now has an adjusted basis of $49,080 and a market value of $98,160. The partnership has no other potential hot assets. Ambroz sells his 25% interest in the partnership. a. How much is Lexington's depreciation recapture potential
Answer:
Question b: How much ordinary income does Ambroz recognize when he sells this partnership interest?
a. Since the market value is more than its original cost, therefore, the completed depreciation can be potentially recaptured
Lexington's depreciation recapture potential = $81,800 - $49,080
Lexington's depreciation recapture potential = $32,720
b. Ambroz recognizes Ordinary income of: $32,720*25% = $8180
Wyle Co. has $3.9 million of debt, $1 million of preferred stock, and $2.1 million of common equity. What would be its weight on preferred stock
Answer:
Weight of Preferred stock = 0.1428571429 or 14.28571429% rounded off to 14.29%
Explanation:
The capital structure of a business is made up of at least one or at most all of the following components namely Debt, Preferred Stock and Common Equity. The ratio in which each of these components form the capital structure might differ from business to business. The weightage of each component in the capital structure can be calculated by dividing the market value of each component by the sum of the market value of all the components.
Weight of a component = Market Value of component / Sum of market value of all components
Weight of Preferred stock = 1,000,000 / (3,900,000 + 1,000,000 + 2,100,000)
Weight of Preferred stock = 0.1428571429 or 14.28571429% rounded off to 14.29%
A new manufacturing machine is expected to cost $278,000, have an eight-year life, and a $30,000 salvage value. The machine will yield an annual incremental after-tax income of $35,000 after deducting the straight-line depreciation. Compute the accounting rate of return for the investment.
Answer:
22.7 %
Explanation:
Accounting rate of return = Average Profits / Average Investments × 100
Where,
Average Profit = Sum of Profits ÷ Number of Years
= $35,000
and
Average Investment = (Initial Investment + Salvage Value) ÷ 2
= ($278,000 + $30,000) ÷ 2
= $154,000
Therefore,
Accounting rate of return = $35,000 ÷ $154,000
= 22.7 %
Your grandpa doesn't trust "young 'uns" so you are set to inherit a $1,000,000 trust fund on your 50th birthday. Your Grandpa also doesn't like banks so he has buried the cash somewhere on his 40-acre farm in a location that will be revealed to you by his lawyer since Grandpa will not be around when you turn 50. If you could possibly get your hands on it now (when you are 20), you could put it in a bank at 6% annual interest. If you were able to dig up the money now, how much would you have when you turn 50?
Answer:
FV= $5,743,491.17
Explanation:
Giving the following information:
Present value (PV)= $1,000,000
Number of periods (n)= 30 years
Annual interest= 6% = 0.06
To calculate the future value (FV), we need to use the following formula:
FV= PV*(1+i)^n
FV= 1,000,000*(1.06^30)
FV= $5,743,491.17
Tyrone wants to spend $15,000 on a new car three years from now. He opens a savings account and deposits $3,250 today. One year from now, he plans to deposit $3,000 in the account, and one year after that, he plans to deposit another $3,000. If the account earns 6% interest per year, how much additional money will Tyrone need to meet his $15,000 goal?
Answer:
Tyrone will need $4578.4 to meet his $15,000 goal
Explanation:
Tyrone wants to spend amount on a new car three years from now=$15,000
Formula : [tex]A=P(1+\frac{r}{100})^n[/tex]
Where A=future value
P=present value
r=rate of interest
n=time period.
Future value of deposits=[tex]3250 \times(1.06)^3+3000 \times(1.06)^2+3000 \times (1.06)[/tex]
Future value of deposits= 10421.60
So, additional money needed=15000-10421.60=4578.4
Hence Tyrone will need $4578.4 to meet his $15,000 goal