Explanation Given: The balance after t months of a certain investments is given by B = 5000 × 1.005 t dollars . The original investment I is $ 5000 . Approach: Let B and t denote the balance after t months and time period in months, respectively. B = 5000 × 1.005 t dollars ……(1) Use the power law for logarithms- ln ( x n ) = n ln ( x ) Calculation: Double the original investment, I = 5 , 000 2 I = 10 , 000 Substitute 2 I for B in (1), B = 5000 × 1 To determine (b) To find: The doubling time for the exponential function y = a × b t .

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN: 9781337111348

Author: Bruce Crauder, Benny Evans, Alan Noell

Publisher: Cengage Learning

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Question

Chapter 4.FR, Problem 25E

To determine

(a)

The time required for the account to double the original investment.

To determine

(b)

To find:

The doubling time for the exponential function y=a×bt.

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Chapter 4.FR, Problem 24E

Chapter 4.FR, Problem 26E

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Chapter 4 Solutions

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Ch. 4.1 - TEST YOUR UNDESTANDING| FOR EXAMPLE 4.1...Ch. 4.1 - TEST YOUR UNDERSTANDING| FOR EXAMPLE 4.2 In a...Ch. 4.1 - Prob. 3TU Ch. 4.1 - Reminder Round all answers to two decimal places...Ch. 4.1 - Reminder Round all answers to two decimal places...Ch. 4.1 - Reminder Round all answers to two decimal places...Ch. 4.1 - Reminder Round all answers to two decimal places...Ch. 4.1 - Reminder Round all answers to two decimal places...Ch. 4.1 - Reminder Round all answers to two decimal places...Ch. 4.1 - Reminder Round all answers to two decimal places...

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(a) The time required for the account to double the original investment.

Solution Summary: The author explains how to determine the time required for the account to double the original investment.