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March 27, 2017

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2. You charged $ 1,000 on your credit card for Christmas presents. Your credit card company charges you 16 % annual interest, compounded monthly. If you make the minimum payments of $25 per month, how long will it take [to the nearest month] top pay off your balance?

  • finanance - ,

    1000 = 25[1 - 1.0133333^-n]/.0133333
    .5333333 = 1 - 1.0133333^-n
    .4666667 = 1.0133333^-n
    -n = log .46666667/log1.0133333
    n = 57.54 payments

    there will be 57 payments of $25 plus a partial payment less than $25 on the 58th month

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