Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - 2.4 Exponential Functions - 2.4 Exercises - Page 87: 43

Answer

$6.3\%$

Work Step by Step

In the formula for compound interest with let $P=\$500$ $t=14$ $m=4$ $A=\$1200$ we have $A=P(1+\frac{r}{m})^{tm}$ $1200=500(1+\frac{r}{4})^{14(4)}$ $(1+\frac{r}{4})^{56}=\frac{12}{5}$ $r\approx0.063\approx6.3\%$
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