Finite Math and Applied Calculus (6th Edition)

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

Chapter 2 - Section 2.1 - Simple Interest - Exercises - Page 132: 12

Answer

$\$ 27,272.73$

Work Step by Step

The future value of an investment of $PV=?$ dollars at an annual simple interest rate of $r =6\displaystyle \%=\frac{6}{100}=0.06$ for a period of $t =$ ($20$ months)$\displaystyle \cdot\frac{1\ year}{12\ months}=\frac{20}{12}$ years $=\displaystyle \frac{5}{3}$ years is $FV=30,000$ Formula: $ FV=PV(1+rt)\quad$,solve for $PV$ ... divide with $(1+rt)$ $ PV=\displaystyle \frac{FV}{1+rt}=\frac{30,000}{1+0.06\cdot\frac{5}{3}}\approx$27272.7272727 $\$ 27,272.73$
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