Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - 2.6 Applications: Growth and Decay; Mathematics of Finance - 2.6 Exercises - Page 108: 14

Answer

$P \approx 17302.93$

Work Step by Step

To find the present value for an interest rate $r=0.046$ compounded continuously for $t=8$ years $A=Pe^{rt}$ $25000=Pe^{0.046(8)}$ $P = \frac{25000}{e^{0.046(8)}} \approx 17302.93$
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