Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Section 4.7 Financial Models - 4.7 Assess Your Understanding - Page 346: 22

Answer

$\$ 654.98$

Work Step by Step

Recall: Present Value Formula for Continuous Compounding $$P= A e^{-r t}$$ where $A:$ Amount to be recieved after $t$ years $P:$ Present value $r:$ Annual interest rate $t:$ Number of years The given problem has: $A = \$ 800, r=0.08, t=2.5$ Thus, using the given vaues and the formula above gives: $P = \$800 \times e^{-0.08 \times 2.5}$ $P \approx \$ 654.98$
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