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19 September, 22:36

Caleb bought a car for $6,900. He agreed on a five-year loan at a 5.4% interest rate. Calculate what Caleb's monthly payments will be.

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  1. 20 September, 00:31
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    P = AD,

    P = Monthly payment

    A = Cost of the car

    D = [R/12]/[1 - (1+R/12) ^-12n], where R = Annual interest = 5.4% = 0.054, n = Number years = 5

    Therefore,

    D = [0.054/12]/[1 - (1+0.054/12) ^-12*5] = 0.019055

    And,

    P = 6,900*0.019055 = $131.48

    Monthly payment will be $131.48.
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