Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 2 - Section 2.2 - Compound Interest - Exercises - Page 142: 8

Answer

$\$ 29,375.54$

Work Step by Step

The future value of an investment of $\\\\$ PV=10,000 dollars earning interest $\\$ at an annual rate of r=12$\times 0.45\%=0.054\ \ \ $ (monthly rate $\times$12)$\\$ compounded (reinvested) m$=12$ times per year$\\$ for a period of t$=20$ years is$\\$ $FV=PV(1+\displaystyle \frac{r}{m})^{mt}\\$ $=10,000(1+\displaystyle \frac{0.054}{12})^{12\cdot 20}\approx$29375.5400941$\\$ rounded to the nearest cent: $\$ 29,375.54$
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