I don’t understand what is the question?
Answer:
t = 4.607742347 years rounded off to 4.61 years
Explanation:
To calculate the number of years it will take an investment of $3500 to grow to $5900 at an annual interest rate of 12%, we will use the formula for the future value of cash flows. The formula can be written as follows,
Future value = Present value * (1+i)^t
Where,
- i is the interest rate
- t is the time in years
Plugging in the values for future value, present value and i, we can calculate the t to be,
5900 = 3500 * (1+0.12)^t
5900 / 3500 = (1.12)^t
1.685714286 = 1.12^t
Taking log on both sides.
Ln(1.685714286) / Ln(1.12) = t
t = 4.607742347 years rounded off to 4.61 years