Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 4 - Exponential Functions - 4.5 The Number e - Exercises and Problems for Section 4.5 - Exercises and Problems - Page 174: 42

Answer

The two investments will be equal after about $18.66$ years.

Work Step by Step

First find the exponential functions of the both investments and graph them together to find the point of intersection between them. For the first investment, we have $$ P_a=1000 e^{0.08 t} $$ For the second investment, we have $$ P_b=1500(1.06)^t $$ The two investments will be equal after about $18.66$ years.
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