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denis-greek [22]
3 years ago
13

If you invest P dollars and you want the investment to grow to A dollars in t years, the interest rate that must be earned if in

terest is compounded annually is given by the formula r = t √ A P − 1 If you invest $ 1500 and want to have $ 6000 in 8 years, what interest rate must be earned? Round to at least 1 decimal place. You need an interest rate of at least 1.19 Incorrect percent.
Business
1 answer:
hoa [83]3 years ago
3 0

Answer: 18.92%

Explanation:

The formula to find the compound amount :-

A=P(1+r)^t, where P is the Principal amount, r is the rate of interest and t is the time period.

Given : P= $1500

A = $6000

Time = 8 years

Then 6000=1500(1+r)^8

i.e. (1+r)^8=\dfrac{6000}{1500}=4

i

Taking natural log on both sides , we get

\Rightarrow\ 8\ln(1+r)=\ln(4)\\\\\Rightarrow\ \log(1+r)=\dfrac{\log4}{8}=\dfrac{1.38629436112}{8}=0.17328679514\\\\\Rightrarrow\ 1+r=e^{0.17328679514}\\\\\Rightarrow\ 1+r=1.189207115\\\\\Rightarrow\ r=1.189207115-1=0.189207115\\\\\Rightarrow\ r\approx0.1892\approx18.92\%

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1. 10-Column Worksheet (see attachment)

2. Closing Journal Entries at December 31, 2010:

Date  Description                        Debit         Credit  

Depreciation expense - Truck    80,000  

Salaries Expense                         111,000  

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Repairs expense- trucks             15,000

Income Summary                                          224,000

To close expenses to the Income Summary.

Date  Description                        Debit         Credit

Income Summary                      263,000

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To close revenue to the Income Summary.

Date  Description                       Debit         Credit

Net Income                                39,000

Retained Earnings                                        39,000

To close the net income to retained earnings.

2b) Capital to be reported on balance sheet as at December 31, 2010:

S. Dylan Capital                 $307,000

Retained Earnings                39,000

S. Dylan withdrawals           (34,000)

Net Capital                        $312,000

Explanation:

a) A 10-column worksheet is a tool used by accountants to close the temporary accounts, after necessary adjustments, and then extract a balance sheet.  It comprises two columns (debit and credit) for each of the following: Unadjusted Trial Balance, Adjusting Entries, Adjusted Trial Balance, Income Statement, and Balance Sheet.

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