1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marysya [2.9K]
3 years ago
15

Calculate the following: The future value of lump-sum investment of $3,200 in four years that earns 6 percent. Round your answer

to the nearest dollar. (Hint: Use Appendix A.1 or the Garman/Forgue companion website.) Round Future value of a Single Amount in intermediate calculations to four decimal places. $ The future value of $1,100 saved each year for three years that earns 4 percent. Round your answer to the nearest dollar. (Hint: Use Appendix A.3 or the Garman/Forgue companion website.) Round Future value of Series of Equal Amounts in intermediate calculations to four decimal places. $ A person who invests $1,800 each year finds one choice that is expected to pay 4 percent per year and another choice that may pay 7 percent. What is the difference in return if the investment is made for four years? Round your answer to the nearest dollar. (Hint: Use Appendix A.3 or the Garman/Forgue companion website.) Round Future value of Series of Equal Amounts in intermediate calculations to four decimal places. $ The amount a person would need to deposit today with a 7 percent interest rate to have $4,000 in three years. Round your answer to the nearest dollar. (Hint: Use Appendix A.2 or the Garman/Forgue companion website.) Round Present value of a Single Amount in intermediate calculations to four decimal places. $
Business
1 answer:
tresset_1 [31]3 years ago
4 0

Answer:

(a) $4,040

(b) $3,434

(c) $348

(d) $3,265

Explanation:

(a) Calculate the following: The future value of lump-sum investment of $3,200 in four years that earns 6 percent. Round your answer to the nearest dollar. (Hint: Use Appendix A.1 or the Garman/Forgue companion website.) Round Future value of a Single Amount in intermediate calculations to four decimal places. $

To estimate this, the formula for calculating future value is used as follows:

FV = PV * (1 + r)^n ………………………….. (1)

Where,

FV = future value = ?

PV = lump-sum investment = $3,200

r = interest rate = 6%, or 0.06

n = number of years = 4

Substitute the values into equation (1) to have:

FV = $3,200 * (1 + 0.06)^4

FV = $3,200 * (1.06)^4

FV = $3,200 * 1.2625

FV = $4,040

(b) The future value of $1,100 saved each year for three years that earns 4 percent. Round your answer to the nearest dollar. (Hint: Use Appendix A.3 or the Garman/Forgue companion website.) Round Future value of Series of Equal Amounts in intermediate calculations to four decimal places. $

To calculate this, the formula for calculating the Future Value (FV) of an Ordinary Annuity is used as follows:

FV = M * (((1 + r)^n - 1) / r) ................................. (2)

Where,

FV = Future value of the amount after 3 years =?

M = Annual savings = $1,100

r = interest rate = 4%, or 0.04

n = number of years = 3

Substituting the values into equation (2), we have:

FV = $1,100 * (((1 + 0.04)^3 - 1) / 0.04)

FV = $1,100 * 3.1216

FV = $3,434

(c) A person who invests $1,800 each year finds one choice that is expected to pay 4 percent per year and another choice that may pay 7 percent. What is the difference in return if the investment is made for four years? Round your answer to the nearest dollar. (Hint: Use Appendix A.3 or the Garman/Forgue companion website.) Round Future value of Series of Equal Amounts in intermediate calculations to four decimal places. $

To do this, we first calculate the return of each of the 2  investments by using the the formula for calculating the Future Value (FV) of an Ordinary Annuity in part b above is used as follows:

<u>Calculation of return at 4 percent</u>

Where;

FV at 4% = Future value of the return after 4 years =?

M = Annual savings = $1,800

r = interest rate = 4%, or 0.04

n = number of years = 4

Substituting the values into equation (2), we have:

FV at 4% = $1,800 * (((1 + 0.04)^4 - 1) / 0.04)

FV  at 4% = $1,800 * 4.2465

FV  at 4% = $7,644

<u>Calculation of return at 7 percent</u>

Where;

FV at 7% = Future value of the return after 4 years =?

M = Annual savings = $1,800

r = interest rate = 7%, or 0.07

n = number of years = 4

Substituting the values into equation (2), we have:

FV at 7%= $1,800 * (((1 + 0.07)^4 - 1) / 0.07)

FV at 7% = $1,800 * 4.4399

FV at 7% = $7,992

<u>Calculation of the difference in return</u>

This is calculated as follows:

Difference = FV at 7% - FV at 4% = $7,992 - $7,644 = $348

(d) The amount a person would need to deposit today with a 7 percent interest rate to have $4,000 in three years. Round your answer to the nearest dollar. (Hint: Use Appendix A.2 or the Garman/Forgue companion website.) Round Present value of a Single Amount in intermediate calculations to four decimal places. $

To estimate this, the formula for calculating present value is used as follows:

PV = FV / (1 + r)^n ………………………….. (1)

Where;

PV = Present value or amount to deposit today = ?

FV = future value in three years = $4,000

r = interest rate = 7%, or 0.07

n = number of years = 3

Substitute the values into equation (1) to have:

PV = $4,000 / (1 + 0.07)^3

PV = $4,000 / 1.2250

PV = $3,265

You might be interested in
The Bank of america trends in Consumer Mobility Report indicates that in a typical day, 51% of users of mobile phones use their
Vaselesa [24]

<u>Solution and Explanation:</u>

a)  51% of users of mobile phones use their phone at least once per hour,

It is a binomial distribution with n = 150, p = 0.51

mean = np = 150 multiply with 0.51 = 76.5

SD= sqrt(np(1-p) )= 6.1225

Since np and n(1-p) > 5, we can assume the distribution is normal.

B) please see the attached file.

c)  It is a binomial distribution with n = 150, p = 0.02

mean = np = 150*0.02 = 3

SD= sqrt(np(1-p) )= 1.71464

Since np < 5, we cannot assume the distribution is normal.

 

6 0
3 years ago
Exercise 4-9 Recording purchases, sales, returns, and shipping LO P1, P2 Following are the merchandising transactions of Dollar
GenaCL600 [577]

Answer:

Dollar Store

Journal Entries:

Nov. 1 Debit Inventory $2,900

Credit Accounts Payable $2,900

To record the purchase of goods on terms of 2/5, n/30, FOB shipping point, invoice dated November 1.

Nov. 5 Debit Accounts Payable $2,900

Credit Cash $2,842

Credit Cash Discount $58

To record the payment for the goods, including discounts.

Nov. 7 Debit Cash $250

Credit Inventory $250

To record the return of goods for cash.

Nov. 10 Debit Freight-in $145

Credit Cash $145

To record payment for transportation of goods.

Nov. 13 Debit Accounts Receivable $3,132

Credit Sales Revenue $3,132

To record the sale of goods with terms n/30.

Debit Cost of goods sold $1,566

Credit Inventory $1,566

To record the cost of goods sold.

Nov. 16 Debit Sales Returns $270

Credit Accounts Receivable $270

To record the return of goods.

Debit Inventory $135

Credit Cost of goods sold $135

To record the cost of goods returned.

Explanation:

a) Data and Analysis:

Nov. 1 Inventory $2,900 Accounts Payable $2,900

on terms of 2/5, n/30, FOB shipping point, invoice dated November 1.

Nov. 5 Accounts Payable $2,900 Cash $2,842 Cash Discount $58

Nov. 7 Cash $250 Inventory $250

Nov. 10 Freight-in $145 Cash $145

Nov. 13 Accounts Receivable $3,132 Sales Revenue $3,132

with terms n/30

Cost of goods sold $1,566 Inventory $1,566

Nov. 16 Sales Returns $270 Accounts Receivable $270

Inventory $135 Cost of goods sold $135

8 0
3 years ago
Mellon Corporation The data presented below is Mellon Corporation for the year ended December 31, 2015: Sales (100% on credit) $
kaheart [24]

Answer:

The bad debts expense for 2015 would be $ 28,000

Explanation:

The balance of the allowance for doubtful account should be equal to the amount estimated to be uncollectible based on the ageing analysis

Estimated uncollectible account                                                 $ 31,000

Allowance for doubtful accounts prior to adjustment               <u>$   3,000</u>

Bad debts expense for the year to be recorded                    <u> $ 28,000</u>

The accounting entry to record this is as follows:

Bad debts expense                                          Debit               $ 28,000

Allowance for uncollectible accounts            Credit                               $ 28,000

4 0
3 years ago
A simple discount note results in
Nikolay [14]
A simple discount note results in i<span>nterest that are deducted in advance, this can just be simply called a discount. </span><span> It is usually being confused with markdown. </span><span>Discount is a deduction in the price of a product base on the purchase of the customer while markdown is a reduction of price based on inability to be sold. </span>
6 0
3 years ago
Read 2 more answers
2. Describe a company that has gotten publicity from the news media. Why did the company get publicity? Was it positive or negat
weqwewe [10]

Samsung, for having lithium ion batteries in their new phones the samsung galaxy 7, negative because they were burning up and hurting people.


6 0
3 years ago
Other questions:
  • Pablo was reviewing the water bill for his carwash business and determined that the highest​ bill, $5,000, occurred in july when
    10·1 answer
  • Which of the following is not a characteristic of a corporation?
    8·2 answers
  • Suppose we have a bond issue currently outstanding that has 25 years left to maturity. The coupon rate is 9% and coupons are pai
    9·1 answer
  • When people engage in activities that help others, their brain releases endorphins, the brain’s natural opiates, which induce in
    5·1 answer
  • Today, jennifer earns $55000 at her first job. her mom used to make $15,000 at her first job in 1975. jennifer is of the opinion
    6·1 answer
  • Suppose warren buffet withdraws $1 million from his checking account at chase bank. if the required reserve ratio is 20 percent
    6·1 answer
  • Why don't information systems projects work out as planned? what causes the differences between the plan and reality?
    14·1 answer
  • Item8 3.57 points Item Skipped eBook AskPrintReferences Check my work Check My Work button is now enabledItem 8Item 8 3.57 point
    7·1 answer
  • Please help with economics for 100 points and brainliest
    7·1 answer
  • WHY DID DABABY BROTHER END HIS LIFE?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!