Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.3 - New Functions from Old Functions - 1.3 Exercises: 62

Answer

$A(A(x))=1.04^{2}x$, amount of the investment after two years. $A(A(A(x)))=1.04^{3}x$, amount of the investment after three years. $A(A(A(A(x))))=1.04^{4}x$, amount of the investment after four years. For $n$ copies of A, Amount=$1.04^nx$

Work Step by Step

$A(A(x))=A(1.04x)=1.04^{2}x$ This is the amount of the investment after two years. $A(A(A(x)))=A(1.04^{2}x)=1.04^{3}x$ This is the amount of the investment after three years. $A(A(A(A(x))))=A(1.04^{3}x)=1.04^{4}x$ This is the amount of the investment after four years. For $n$ copies of A, Amount=$1.04^nx$
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