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Eden opened a credit card at a department store with an APR of 19.07% compounded monthly. What is the APY on this credit card?
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APY = (1 + r ÷ n)n – 1 ------------------------------ r = interest rate n = the number of compounding periods ------------------------------ your PERIOD is monthly, so over a Y, APY(ear), that'd be 12 periods your interest rate is the APR. or 19.07%, which would be 0.1907 in decimals
$$ APY = \pmatrix{1+\frac{\color{red}{0.1907}}{\color{blue}{12}}}^{\color{blue}{12}}-1 $$
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