Answer:
The number of year needed to save the amount = 36.2739
Explanation:
The annual deposit amount (A) = $2000
Annual interest rate (r ) = 12 %
The retirement amount or the expected amount at the time of retirement (FV) = $1000000
Number of years = n
So if the Jughead want the retirement amount $1000000 that has interest rate 12 percent then we need to calculate the number of years.
Below is the calculation of number of years.
[tex]FV = A \frac{(1 + r)^{n}}{r} \\1000000 = 2000 \frac{(1 + 12 \ percent )^{n} - 1}{12 \ percent} \\\frac {1000000}{2000} = \frac{(1 + 12 \ percent )^{n} - 1}{12 \ percent} \\500 = \frac{(1 + 0.12)^{n} - 1}{0.12} \\ n = 36.2739 \ years[/tex]