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: 22

Answer

$\$ 341.24$

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 $R=\displaystyle \frac{iA_{p}}{1-(1+i)^{-n}}$ --------------- Solve for $A_{p},$ multiply both sides with $\displaystyle \frac{1-(1+i)^{-n}}{i}$ $A_{p}=R\displaystyle \times\frac{1-(1+i)^{-n}}{i}$ $\mathrm{R}=30,$ $n=12, \displaystyle \quad i=\frac{0.10}{12}\approx 0.008333$ $A_{p}=30\displaystyle \frac{1-(1+\frac{0.10}{12})^{-12}}{\frac{0.10}{12}}=\$ 341.24$
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