Josh invests $5000 in an account that supplies 3.7% interest compounded continuously. This can be modeled by the function A = 5000e0.037 , whereA is the value of the investment after t years. a. Is the function A = 5000e0.037€ linear, quadratic, exponential, or none of these? Explain your answer. b. How long will it take for his investment to double? Round your answer to the nearest tenth of a year.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Josh invests $5000 in an account that supplies 3.7% interest
compounded continuously. This can be modeled by the function
A = 5000e0.037t , whereA is the value of the investment after t years.
a. Is the function A = 5000e0.037£ linear, quadratic, exponential, or
none of these? Explain your answer.
b. How long will it take for his investment to double? Round your
answer to the nearest tenth of a year.
Transcribed Image Text:Josh invests $5000 in an account that supplies 3.7% interest compounded continuously. This can be modeled by the function A = 5000e0.037t , whereA is the value of the investment after t years. a. Is the function A = 5000e0.037£ linear, quadratic, exponential, or none of these? Explain your answer. b. How long will it take for his investment to double? Round your answer to the nearest tenth of a year.
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