Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.1 - Exponential Functions - 4.1 Exercises - Page 338: 64

Answer

$5.6 \%$

Work Step by Step

Need to use formula: $A(t)=P(1+\dfrac{r}{n})^{nt}$ Here, we have $A(1)=P(1+\dfrac{0.055}{4})^{(4)(1)}$ or, $=P(1+\dfrac{0.055}{4})^{4}$ or, $A(1)=P(1.056)$ Now, $a=\dfrac{A(1)-A(0)}{A(0)}=\dfrac{1.056P-P}{P}=0.056 =5.6 \%$
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