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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 ?
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- 64 = (1.01)12y
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1 = (1.04)12y 64 - 64 = (1.04)12y
- 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 = P | ![]() | 1 + | ![]() | T | |
100 |
⇒ 64 = 1 | ![]() | 1 + | ![]() | 12y | |
100 |
⇒ 64 = 1(1.01)12y