College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Chapter 4 Review - Exercises - Page 426: 96

Answer

$3.25\%$.

Work Step by Step

In $A(t)=P(1+\frac{r}{n})^{nt}$ for compound interest, $P,r,n,t$ respectively stand for the principal, interest rate per year, the number of times the interest is compounded per year and the number of years. $A(t)$ is the amount after $t=1$ year. So if we invest $P$ at an interest rate of $r=0.032$ compounded monthly ($n=12$), the amount is: $A=P(1+\frac{0.032}{12})^{12(1)}\approx1.0325P$ Thus the annual percentage yield is $3.25\%$.
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