Some investors want to know the "doubling time" of an investment—that is, the amount of time it will take for the investment to grow to twice its initial value. Suppose the value of an investment in an account earning an annual interest rate of 12% compounded daily grows according to the equation A = A0 1 + 0.12365 365t , where A0 is the initial value of the investment and t is the time in years. Find the doubling time for the investment. Round to the nearest year.t =  yr

Question
Asked Oct 29, 2019

Some investors want to know the "doubling time" of an investment—that is, the amount of time it will take for the investment to grow to twice its initial value. Suppose the value of an investment in an account earning an annual interest rate of 12% compounded daily grows according to the equation 

A = A0
 
1 + 
0.12
365
  365t
 
,

 where 

A0

 is the initial value of the investment and t is the time in years. Find the doubling time for the investment. Round to the nearest year.
t =  yr

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Expert Answer

Step 1

The given equa...

365
0.12
A A 1
365
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365 0.12 A A 1 365

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Advanced Math