Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 7 - Exponential Functions - 7.5 Compound Interest and Present Value - Exercises - Page 355: 16

Answer

$$ \$274473.93$$

Work Step by Step

Since $$ R(0)=70000,\ r=0.05 \ \to \ R(t) =70000e^{0.05t} $$ Then for $T=4 ,\ r=0.06 $ \begin{align*} P V&=\int_{0}^{4} 70000 e^{-0.01 t} d t\\ &=\left.\frac{70000}{-0.01} e^{-0.01 t}\right|_{0} ^{4}\\ &=-7000000\left(e^{-0.04}-e^{0}\right) \\ &\approx \$274473.93 \end{align*}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.