Concept explainers
To find: The composition of
Answer to Problem 60E
The composition function
The formula for the composition of n copies of A,
Explanation of Solution
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
Therefore, the composition of
Similarly to find
Therefore, the composition of
Substitute
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,
Chapter 1 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning