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21 December, 00:25

Granny Gums has established a scholarship at the Martin College of Dentistry. She will make deposits into an endowment account that pays 12% per year based on the following schedule.

Year 0 Deposit $100

Year 1 Deposit 90

Year 2 Deposit 80

Year 3 Deposit 70

Year 4 Deposit 60

Year 5 Deposit 50

Year 6 Deposit 40

If the first scholarship is to be awarded one year after the first deposit is made and thereafter the award will be given indefinitely, what is the scholarship amount?

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  1. 21 December, 03:27
    0
    Scholarship Amount would be $45.68

    Explanation:

    Deposits into an endowment account that pays 12% per year

    Year 0 Deposit $100

    Year 1 Deposit $90

    Year 2 Deposit $80

    Year 3 Deposit $70

    Year 4 Deposit $60

    Year 5 Deposit $50

    Year 6 Deposit $40

    First find the present worth of the gradient deposits.

    P = 100 + 90 (P/A, 12%, 6) - 10 (P/G, 12%, 6) = $380.69

    A = 380.69 (0.12)

    A = $45.68
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