College Algebra 7th Edition

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

Chapter 4, Exponential and Logarithmic Functions - Section 4.1 - Exponential Functions - 4.1 Exercises - Page 374: 63

Answer

$8.3\%$.

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 $r=0.08$ compounded monthly ($n=12$), the amount is: $A=P(1+\frac{0.08}{12})^{12(1)}\approx1.083P$ Thus the annual percentage yield is $8.3\%$.
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