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: 30

Answer

$\$21,342.95$

Work Step by Step

The depriciation can be calculated as: $FV=PV\times (1-r)^{t}$ Here, the present value is $PV=\$40,000$ The depriciation rate is $r=5.1\%$ The number of periods is $12$ (9 years corresponds to 12 nine-month periods.) Therefore the future value is: $FV=PV\times (1-r)^{t}=40,000\times (1-0.051)^{12}\approx 21,342.95$
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