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 - 4.4 Applications to Compound Interest - Exercises and Problems for Section 4.4 - Exercises and Problems - Page 167: 17

Answer

$34.392\%$

Work Step by Step

Given that the investment grows by $3\%$ during the 10 year period, the size of the original investment would be $1.03$ times its original value after the first year and $1.03^2$ after the second year. At the end of the 10 year period, the investment would have grown by a factor of $$ \begin{aligned} 1.03^{10} & =1.34392 \\ \end{aligned} $$ This means that the investment will have increased by $34.392\%$ during the 10 year period.
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