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: 48

Answer

$9.35\%$

Work Step by Step

In this case $A=P(1+r)^t$, where $r$ is the rate, $t$ is the time in years, $A$ is the value after $t$ years. Here we have: $A=\$850,000$ $P=\$650,000$ $t=3\text{years}$ Substitute these values into the formula above to obtain: $\$850,000=\$650,000 \cdot (1+r)^3\\ \dfrac{\$850,000}{\$650,000}=(1+r)^3\\ \sqrt[3] {\frac{\$850,000}{\$650,000}}=\sqrt[3]{(1+r)^3}\\ \sqrt[3] {\frac{\$850,000}{\$650,000}}=1+r\\ \sqrt[3] {\frac{850,000}{650,000}}-1=r\\ 1.0935412998-1=r\\ 0.0935412998=r\\ r\approx 9.35\%$
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