Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 12 - Section 12.1 - Sequences and Summation Notation - 12.1 Exercises - Page 851: 77

Answer

a. $A_{1}=\$ 2004$, $A_{2}=\$ 2008.01$, $A_{3}=\$ 2012.02$, $A_{4}=\$ 2016.05$, $A_{5}=\$ 2020.08$, $A_{6}=\$ 2024.12$ b. $A_{36}=\$ 2149.16$.

Work Step by Step

a. Using our calculator, $A_{n}=2000(1+\displaystyle \frac{0.024}{12})^{n},$ $A_{1}=\$ 2004$, $A_{2}=\$ 2008.01$, $A_{3}=\$ 2012.02$, $A_{4}=\$ 2016.05$, $A_{5}=\$ 2020.08$, $A_{6}=\$ 2024.12$ b. 3 years = 36 months n=36. $A_{36}=\$ 2149.16$.
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