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: 21

Answer

$ \$ 59.71$

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: $A = \$ 80, r=0.09, t=3.25$ Thus, using the given values and the formula above gives: $P = \$80 \times e^{-0.09 \times 3.25}$ $P \approx \$ 59.71$
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