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: 12

Answer

$\$ 8132.65$

Work Step by Step

(see p. 870) The present value $A_{p}$ of an annuity consisting of $n$ regular equal payments of size $R$ with interest rate $i$ per time period is given by $A_{p}=R\displaystyle \frac{1-(1+i)^{-n}}{i}$ --------------- Given $R =300,\ n=30$, monthly = 12 times per year: $i=\displaystyle \frac{0.08}{12}=$0.00666667 $A_{p}=300\displaystyle \times\frac{1-(1+\frac{0.08}{12})^{-30}}{\frac{0.08}{12}}=\$ 8132.65$
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