Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.7 Financial Models - 5.7 Assess Your Understanding - Page 321: 27

Answer

$6\frac{1}{4}\%$ compounded annually

Work Step by Step

Case 1. Given $r=0.06$, let $t=1$, we have $A_1=P(1+\frac{0.06}{4})^{4}\approx1.0614P$ Case 2. Given $r=0.0625$, let $t=1$, we have $A_2=P(1+\frac{0.0625}{1})^{1}\approx1.0625P$ Thus case 2 with $6\frac{1}{4}\%$ compounded annually is better.
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