Use the formulas above to determine the following: A) how long would it take an initial investment of $3000 to grow to $6000 in an account which pays 3.2% annual interest compounded monthly? B) how long would it take an initial investment of $3000 to grow to $6000 in an account which pays 2.2% interest compunded continuously? C)compare the two time periods. Which scenario would be the more profitable way to invest the $3000?

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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Use the formula for the following questions 

Compound interest formula: A=P(1+r/n)nt

A=balance amount

P=initial principal invested

R=annual interest rate

N=number of times compounded per year

T=time in years

Countinuous compounding formula: P=P0ekt

P=balance amount

P0=initial principal invested

K=annual interest rate as a decimal

T=time in years

Use the formulas above to determine the following:

A) how long would it take an initial investment of $3000 to grow to $6000 in an account which pays 3.2% annual interest compounded monthly?

B) how long would it take an initial investment of $3000 to grow to $6000 in an account which pays 2.2% interest compunded continuously?

C)compare the two time periods. Which scenario would be the more profitable way to invest the $3000?

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