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AysviL [449]
3 years ago
14

The rickerts decided to set up an account for their daughter to pay for her college education. the day their daughter was born,

they deposited $1000 in an account that pays 1.8% compounded annually. beginning with her first birthday, they deposit an additional $750 into the account on each of her birthdays. which expression correctly represents the amount of money in the account n years after their daughter was born?
Business
1 answer:
Free_Kalibri [48]3 years ago
7 0
After n years, the deposit made at birth will have a value equal to;

FV1 = C(1+r)^n = 1000(1+0.018)^n = 1000(1.018)^n

After n years, the  yearly deposits made at every birthday will have a value equal to;

FV2 = P{(1+r)^n-1}/r = 750{(1+0.018)^n-1}/0.018 = 41666.67 {(1.018)^n-1} = 41666.67 (1.018)^n -41666.67

Total FV = FV1+FV2 = 1000(1.018)^n+41666.67(1.018)^n-41666.67 = 42666.67 (1.018)^n - 41666.67
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The following selected account balances are taken from the records of Cooper Corporation for the past two years.
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3. Increase in cash from financing activities:

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a) Data and Calculations:

December 31

                                              2018      2017   Change

Equipment                           $750      $400    +$350

Accumulated depreciation   (160)      (225)       +65

Land                                        92           50        +42

Bonds payable                       30           50         -20

Common stock                     120         100         +20

Additional paid in capital     400        320         +80

Retained earnings               825        675       +150

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Less Gain from sale of equipment $5

Equipment

Account Titles         Debt     Credit

Beginning balance  $400

Cash purchase          550

Sale of equipment                $200

Ending balance                       750

Sale of equipment

Equipment       $200

Accumulated depreciation   $135

Cash                                          70

Gain from sale      5

Retained earnings:

Beginning balance              $675

Net income                            200

Dividends                    50

Ending balance         825

Statement of Cash Flows (partial):

Investing activities:

Sale of equipment           $70

Purchase of equipment -550

Purchase of land              -42

Decrease in cash         $522

Financing activities:

Bonds payable                        -20

Common stock                       +20

Additional paid in capital        +80

Dividends paid                        -50

Increase in cash                    $30

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