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 143: 38

Answer

$\$27,158.61$

Work Step by Step

The inflation can be calculated as: $FV=PV\times (1+r)^{t}$ Here, the future value of the car is $\$30,000$ The inflation rate is $r=1\%$ The number of 6-months periods is $t=5\times 2=10$ Therefore the present value is: $FV=PV\times (1+r)^{t}$ $PV=\frac{FV}{ (1+r)^{t}}=\frac{30,000}{1.01^{10}}\approx 27,158.61$
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