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: 15

Answer

$\$ 307.24$

Work Step by Step

(see p. 870) If a loan $A_{p}$ is to be repaid in $n$ regular equal payments with interest rate $i$ per time period, then the size $R$ of each payment is given by $R=\displaystyle \frac{iA_{p}}{1-(1+i)^{-n}}$ --------------- Given $A_{p}=\$ 12,000$, monthly = 12 times per year, $n=4(12)=48,$ $i=\displaystyle \frac{0.105}{12}=0.00875$, $R =\displaystyle \frac{(0.00875)(12,000)}{1-(1.00875)^{-48}}=\$ 307.24$
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