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  1. A certain amount grows at an annual interest rate of 12%, compounded monthly. Which of the following equations can be solved to find the number of years, y, that it would take for the investment to increase by a factor of 64 ?
    1. 64 = (1.01)12y
    2. 1
      = (1.04)12y
      64
    3. 64 = (1.04)12y
    4. 8 = (1.01)6y
Correct Option: A

As per the given in question ,
Here , Rate of interest = 12% per annual = 1% per month and Time = 12y months
Using the given formula ,

∴  A = P1 +
R
T
100

⇒  64 = 11 +
1
12y
100

⇒  64 = 1(1.01)12y



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