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OlgaM077 [116]
3 years ago
12

Determine the value of the investment at the end of 5 years. Write a function f that determines the value of the investment (in

dollars) in terms of the number of years t since the investment was made. What is the annual percent change (APY) for the account?
Business
1 answer:
Fofino [41]3 years ago
7 0

Complete Question:

Suppose that $1500 is invested in an account with an APR of 3.1% compounded continuously.   Determine the value of the investment at the end of 5 years.   Write a function that determines the value of the investment in terms of the number of years , since the investment was made.    What is the annual percent change for the account?

Answer:

Function that determines the value of the investment f(t) = 1500 exp(rt)

Investment after 5 years, f(5) = $1751.49

Annual Percent change = 3.14%

Explanation:

Function that determines the value of the investment

Initial amount invested, f₀ =  $1500

f(t) = f₀ exp(rt)

f(t) = 1500 exp(rt)

r = 3.1% = 3.1/100 = 0.031

f(t) = 1500 exp(0.031t)

Value of the investment at the end of 5 years:

f(5) = 1500 exp (0.031 *5)

f(5) = $1751.49

c) Annual Percentage Change for the account

Get the increase in investment after one year

f(1) = 1500 exp(0.031)

f(1) = $1547.23

Annual Percent yield = [(New Investment - Original investment)/ Original investment] * 100%

Annual Percent yield = [(1547.23 - 1500)/1500] * 100%

Annual Percent yield = (47.23/1500) * 100

Annual Percent yield = 3.14%

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The Chewbacca Starship Company had the following transactions during the month of December:
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Answer:

The Chewbacca Starship Company

T-accounts:

Cash

Date   Account Titles                 Debit        Credit

Dec. 1 Beginning balance      $73,500

Dec. 31 Salaries expense                        $57,000

Dec. 31 Accounts receivable 265,000

Dec. 31 Accounts payable                       210,000

Accounts receivable

Date   Account Titles           Debit        Credit

Dec. 1 Beginning balance   $60,000

Dec. 31 Sales revenue         154,000

Dec. 31 Cash                                     $265,000

Accounts payable

Date   Account Titles           Debit        Credit

Dec. 1 Beginning balance                  $39,000

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Dec. 31 Cash                    $210,000

Inventory

Date     Account Titles           Debit        Credit

Dec. 31 Accounts payable   $230,000

Sales revenue

Date     Account Titles           Debit        Credit

Dec. 31 Accounts receivable              $154,000

Salaries Expense

Date     Account Titles           Debit        Credit

Dec. 31 Cash                       $57,000

Explanation:

a) Data and Analysis:

a. Inventory $230,000 Accounts payable $230,000

b. Salaries expense $57,000 Cash $57,000

c. Accounts receivable $154,000 Sales revenue $154,000

d. Cash $365,000 Accounts receivable $265,000

e. Accounts payable $210,000 Cash $210,000

Opening balances:

Cash $73,500

Accounts receivable $60,000

Accounts payable $39,000

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