Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 12 - Section 12.4 - Mathematics of Finance - 12.4 Exercises - Page 872: 7

Answer

$\$ 5,591.79$

Work Step by Step

The amount $A_{f}$ of an annuity consisting of $n$ regular equal payments of size $R$ with interest rate $i$ per time period is given by $\displaystyle \quad A_{f}=R\frac{(1+i)^{n}-1}{i}$ ----------- Given: $n=16,\ \mathrm{R}=\$ 300$, quarterly payments: $i=\displaystyle \frac{0.08}{4}=0.02$. $A_{f}=300\displaystyle \times\frac{(1+0.02)^{16}-1}{0.02}=\$ 5,591.79$
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