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19 November, 08:37

Your credit card company charges you 1.45 percent per month. what is the annual percentage rate on your account? 16.67 percent 16.79 percent 17.40 percent 18.00 percent 18.86 percent

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  1. 19 November, 08:58
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    Let x = the principal amount.

    Value after 1 month = x (1 + 0.0145) = x*1.0145

    Value after 2 months = x*1.1045²

    ...

    Value after 12 months = x*1.1045¹² = 1.1886x

    Interest paid = 1.1886x - x = 0.1886x

    Annual percent interest = 100 * (0.1886x/x) = 18.86%

    Answer: 18.86%
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