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30 April, 10:26

Marie wants to purchase a car and finance her purchase with a 4 year loan at 7% interest. If she wants her payments to be $250 per month, how much can she finance with this loan?

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  1. 30 April, 13:59
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    F = $13,802.31

    she can finance $13,802.31 with this loan.

    Step-by-step explanation:

    Given;

    Rate r = 7% = 0.07

    Time t = 4 years

    Payment per month MP = $250

    Number of months per year n = 12

    This can be solved using compound interest for future value series formula;

    F = future value

    F = MP (((1 + r/n) ^ (nt) - 1) / (r/n))

    Substituting the given values, we have;

    F = $250 (((1 + 0.07/12) ^ (12*4) - 1) / (0.07/12))

    F = $13,802.31
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