We can use the formula for compound interest to solve this problem:
A = P(1 + r/n)^(nt)
where:
A = final amount
P = principal amount (initial investment)
r = annual interest rate (as a decimal)
n = number of times the interest is compounded per year
t = number of years
In this case, we have:
P = $84,410
r = 15% = 0.15
n = 1 (compounded annually)
t = 4
Substituting these values into the formula, we get:
A = $84,410(1 + 0.15/1)^(1*4)
= $84,410(1.15)^4
= $148,982.74
Therefore, Jim will have $148,982.74 in 4 years.