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IgorLugansk [536]
3 years ago
13

Melanie invested $12,200 at 4.8% interest compounded semiannually and she wants to know how much her investment will be worth in

8 years.
What is the periodic interest rate of Melanie's investment?

How many compounding periods does Melanie's investment offer in a year? How about in 8 year?

What expression can Melanie write to figure out how much her investment will be worth in 8 years?

How much will Melanie's investment be worth in 8 years?
Business
1 answer:
andre [41]3 years ago
4 0
<span>What is the periodic interest rate of Melanie's investment?

How many compounding periods does Melanie's investment offer in a year? How about in 8 year?


Semiannually means that it is twice in a year, then:

- the number of compounding periods in a year is 2.

- the number of compounding periods in 8 years is 2 * 8 = 16


What expression can Melanie write to figure out how much her investment will be worth in 8 years?


Use the formula : F = P * ( 1+ r/n) ^ (n*t)


P is the initial investment = $12,000


n = the number of periods per year, which is 2

</span>
<span><span>r is the yearly rate = 4.8% = 0.048


t is the number of years, which is 8.


Then, the equation is F = $12,000 * ( 1 + 0.048/2) ^ (8*2) =

= $12,000 ( 1+ 0.024)^ 16 = $12,000 (1,024)^16


 
</span> How much will Melanie's investment be worth in 8 years?</span>


Just use the calculator: 12,000 (1,024)^16 = $17,538
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Answer:

<h2>Cullumber Corporation</h2><h3>Balance Sheet as of December 31, 2020:</h3>

<u>Current Assets:</u>

Cash                                                                $61,140

Accounts Receivable                   60,000

less allowance for doubtful          6,000       54,000

Inventory                                                          <u>23,300</u>         138,440

<u>Non-current Assets:</u>

Land                                                                 67,200

Buildings                                       81,700

Accumulated Depreciation       <u>28,050</u>        53,650

Equipment                                    41,000  

Accumulated Depreciation         <u>17,890</u>        <u>23,110</u>          143,960

Total Assets                                                                     <u>$282,400</u>

Liabilities + Equity:

<u>Current Liabilities:</u>

Accounts Payable                       19,500

Interest Payable                           4,400

Dividends Payable                       5,802

Unearned Rent Revenue             <u>1,800 </u>       31,502

<u>Non-current Liabilities:</u>

Bonds Payable (10%)                                     <u>44,000</u>           $75,502

<u>Equity:</u>

Common Stock ($10 par)                                38,000

Paid-in Capital in Excess of Par—Common    10,240

Preferred Stock ($20 par)                              20,000

Paid-in Capital in Excess of Par—Preferred    3,000

Retained Earnings                                         138,258

Treasury Stock                                                 <u>(2,600)</u>       <u>206,898</u>

Total Liabilities + Equity                                                  <u>$282,400</u>

<u></u>

Explanation:

a) Cullumber Corporation's Unadjusted Trial Balance as of December 31, 2020:

                                                       Debit             Credit

Cash                                            $26,100

Accounts Receivable                   60,000

Inventory                                      23,300

Land                                             67,200

Buildings                                       81,700

Equipment                                    41,000

Allowance for Doubtful Accounts                                  $470

Accumulated Depreciation—Buildings                      25,500

Accumulated Depreciation—Equipment                    14,200

Accounts Payable                                                        19,500

Interest Payable                                                         –0–

Dividends Payable                                                     –0–

Unearned Rent Revenue                                             7,200

Bonds Payable (10%)                                                  44,000

Common Stock ($10 par)                                           28,000

Paid-in Capital in Excess of Par—Common Stock      5,600

Preferred Stock ($20 par)                                           –0–

Paid-in Capital in Excess of Par—Preferred Stock     –0–

Retained Earnings                                                     65,330

Treasury Stock                          –0–

Cash Dividends                         –0–

Sales Revenue                                                       570,000

Rent Revenue                                                             –0–

Bad Debt Expense                     –0–

Interest Expense                       –0–

Cost of Goods Sold                   380,000

Depreciation Expense              –0–

Other Operating Expenses       36,900

Salaries and Wages Expense   63,600

Total                                       $779,800               $779,800

b) Cullumber Corporation's Adjusted Trial Balance as of December 31, 2020:

                                                       Debit             Credit

Cash                                             $61,140

Accounts Receivable                   60,000

Inventory                                      23,300

Land                                             67,200

Buildings                                       81,700

Equipment                                    41,000

Allowance for Doubtful Accounts                              $6,000

Accumulated Depreciation—Buildings                      28,050

Accumulated Depreciation—Equipment                    17,890

Accounts Payable                                                        19,500

Interest Payable                                                            4,400

Dividends Payable                                                        5,802

Unearned Rent Revenue                                             1,800

Bonds Payable (10%)                                                  44,000

Common Stock ($10 par)                                           38,000

Paid-in Capital in Excess of Par—Common Stock    10,240

Preferred Stock ($20 par)                                         20,000

Paid-in Capital in Excess of Par—Preferred Stock     3,000

Retained Earnings                                                     65,330

Treasury Stock                               2,600

Cash Dividends                              5,802

Sales Revenue                                                       570,000

Rent Revenue                                                            5,400

Bad Debt Expense                        5,530

Interest Expense                           4,400

Cost of Goods Sold                  380,000

Depreciation Expense                 6,240

Other Operating Expenses       36,900

Salaries and Wages Expense   63,600

Total                                       $839,412              $839,412

c) Cash Account Adjustment:

Balance as per Trial Balance $26,100

Preferred Stock                       23,000

Common Stock                       24,000

Treasury Stock                        (11,960)

Adjusted Cash balance         $61,140

d) Income Statement

Sales Revenue                                            $570,000

Cost of goods sold                                       380,000

Gross profit                                                 $190,000

Rent Revenue                                                   5,400

Total                                                            $195,400

less expenses:

Bad Debt Expense                        5,530

Interest Expense                           4,400

Depreciation Expense                  6,240

Other Operating Expenses       36,900

Salaries and Wages Expense   63,600        116,670

Net Income                                                  $78,730

Retained Earnings                                        65,330

Dividends                                                       (5802)

Retained Earnings carried forward         $138,258

7 0
4 years ago
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