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: 14

Answer

$$ \$3296.8$$

Work Step by Step

W are given$$ R(t)=800,\ \ \ \ \ T=5, \ \ \ \ \ r=0.08$$ Then \begin{align*} P V&=\int_{0}^{T} R(t) e^{-r t} d t\\ &= \int_{0}^{5} 800 e^{-0.08 t} d t\\ &=\left.\frac{800}{-0.08} e^{-0.08 t}\right|_{0} ^{5}\\ &=-10000\left(e^{-0.4}-e^{0}\right)\\ & \approx \$3296.8 \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.