College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.7 - Financial Models - 6.7 Assess Your Understanding - Page 475: 48

Answer

$ r\approx 9.35\%$

Work Step by Step

The amount A after t years due to a principal P invested at an annual interest rate r, expressed as a decimal, compounded n times per year is $A=P\displaystyle \cdot\left(1+\frac{r}{n}\right)^{nt}$ --- $t= 3$ years, $n=1$ (annually)$,\quad nt=3$ $A=850,000$ $P=650,000$ $r=?$ $850,000=650,000(1+\displaystyle \frac{r}{1})^{3}\qquad.../\div 650,000$ $1.3077=(1+r)^{3}\qquad.../\sqrt[3]{...}$ $\sqrt[3]{1.3077}=1+r$ $r=\sqrt[3]{1.3077}-1\approx 0.0935$ $ r\approx 9.35\%$
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