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: 10

Answer

$\$ 245.66$

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 $\displaystyle \quad A_{f}=R\frac{(1+i)^{n}-1}{i}$ ----------- Solving for R, multiply both sides with $\displaystyle \frac{i}{(1+i)^{n}-1}$ $R =\displaystyle \frac{iA_{f}}{(1+i)^{n}-1}$ The compounding is 12 times a year, we are given $A_{f}=\$ 2000$, $i=\displaystyle \frac{0.06}{12}=0.005$, $n=8$. $R =\displaystyle \frac{(0.005)(2000)}{(1+0.005)^{8}-1}=\$ 245.66$
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