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: 28

Answer

a) $ B=1200 e^{0.03(100)}=\$24,102.64 $ b) $t \approx 124.323$

Work Step by Step

(a) At the end of 100 years, $$ B=1200 e^{0.03(100)}=\$24,102.64 $$ (b) Make a graph of both $B=1200 e^{0.03 t}$ and $B=50000$ and find $t \approx 124.323$ years.
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