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: 31

Answer

$\$55,526.45$

Work Step by Step

Our salary, growing annually, can be considered as an investment. We know that the future value of it can be calculated as: $FV=PV\times (1+r)^{t}$ Here, the present value, the starting salary is the question. The future value is the salary we want to achieve, $FV=\$ 100,000$ The annual rate is $r=4\%$ The number of periods is $15$ Therefore the future value is: $FV=PV\times (1+r)^{t}$ $PV=\frac{FV}{(1+r)^t}=\frac{100,000}{1,04^{15}}\approx 55,526.45$
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