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31 March, 01:11

You're prepared to make monthly payments of $175, beginning at the end of this month, into an account that pays 7 percent interest compounded monthly. How many payments will you have made when your account balance reaches $15,000?

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  1. 31 March, 01:22
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    86 payments approximately

    Explanation:

    First;

    Find the monthly average interest rate,

    =7%/12

    =0.0058333333

    Second;

    Add the monthly average interest rate to the monthly payment

    = $175 + 0.0058333333

    = $175.00583333 (average total monthly balance)

    Third;

    Divide final account balance by the average total monthly balance

    = 15,000 / 175.00583333

    =85.71 payments.
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