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6 January, 23:05

Evan purchased a boat for $8825. He made a down payment of $2500. He applied for a three-year installment loan with an interest rate of 10.2%. What is the total cost of the boat after three years

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  1. 6 January, 23:22
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    The present worth of the boat is $8825. The interest rate is 10.2% and it's not stated whether or not the interest is nominal, so we assume it's annual and effective. We use the formula:

    F = P (1 + i) ^n

    where F is the future worth

    P is the present worth

    i is the effective annual interest rate

    n is the number of years

    Substituting:

    F = 8825 (1 + 0.102) ^3

    F = 11810.26

    The future worth of the boat is

    $11,810.26
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