The amount A of dollars accumulated after t years through an investment of Ao dollars at an interest rate of r, compounded continuously, can be determined from the function A = Aoe. The doubling time of an investment is the time required for an investment to double in value. Find the doubling time (rounded to 3 decimal places) for an investment made at a. 6 % interest compounded continuously. years b. 7 % interest compounded continuously. years c. 10 % interest compounded continuously. years

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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The amount A of dollars accumulated after t years through an investment of A, dollars at an interest rate of r,
compounded continuously, can be determined from the function A = Age. The doubling time of an investment
is the time required for an investment to double in value. Find the doubling time (rounded to 3 decimal places)
for an investment made at
a. 6 % interest compounded continuously.
years
b. 7 % interest compounded continuously.
years
c. 10 % interest compounded continuously.
years
Transcribed Image Text:The amount A of dollars accumulated after t years through an investment of A, dollars at an interest rate of r, compounded continuously, can be determined from the function A = Age. The doubling time of an investment is the time required for an investment to double in value. Find the doubling time (rounded to 3 decimal places) for an investment made at a. 6 % interest compounded continuously. years b. 7 % interest compounded continuously. years c. 10 % interest compounded continuously. years
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