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30 October, 22:05

If you buy a computer directly from the manufacturer for $ 2,469 and agree to repay it in 48 equal installments at 2.1 % interest per month on the unpaid balance, how much are your monthly payments? How much total interest will be paid?

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  1. 30 October, 23:53
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    Monthly installments/payments, P = C*D

    C = cost = $2,469

    D = (i/12) / [1 - (1+i/12) ^-48] = (0.021/21) / [1 - (1+0.021/12) ^-48] = 0.0217

    Therefore;

    P = 2469*0.0217 = $53.67

    Total interest paid, I = Total amount paid - Cost

    Total amount paid = P*48 = 53.67*48 = $2,576.30

    Then,

    I = 2576.30-2469 = $107.30
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