The amount of money A as a function of time in years t, given an initial amount P, an interest rate r, and compounded n times per year is: A = P(1 + r/n)nt  The amount compounded continuously is: A = P ert The amount of an account at a particular time is given by: A = 5000(1 + 0.035/12)60  What is the interest rate?   2.9%   1.8%   3.5% If the interest is compounded continuously, what is the amount after the same time has passed?   5956   6028   6145

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
Problem 2E
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The amount of money A as a function of time in years t, given an initial amount P, an interest rate r, and compounded n times per year is:

A = P(1 + r/n)nt 

The amount compounded continuously is:

A = ert

The amount of an account at a particular time is given by:

A = 5000(1 + 0.035/12)60 

What is the interest rate?

 

2.9%

 

1.8%

 

3.5%

If the interest is compounded continuously, what is the amount after the same time has passed?

 

5956

 

6028

 

6145

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