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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1.3, Problem 60E

To determine

**To find:** The composition of
*n* copies of *A*.

Expert Solution

The composition function

The formula for the composition of *n* copies of *A*,

**Given:**

It is given that x dollars invested at 4% interest compounded annually. Then the invested amount after one year is

**Calculation:**

The composite function

First, find the composition of

Substitute
*x* in

Therefore, the composition of

Similarly to find
*x* in

Therefore, the composition of

Substitute
*x* in

Thus, the composition of

Observe the pattern of the amount increasing as year increases. It can be concluded that the formula for the composition of n copies of *A* is,