Final answer:
It will take approximately 18.36 years for Jack to win Ji's hand in marriage.
Step-by-step explanation:
To calculate how long it will take Jack to win Ji's hand in marriage, we need to determine how long it will take for his investment to grow to $5,350. Jack currently has $28,910, and he will be investing it in a mutual fund with an expected annual return of 6 percent. We can use the compound interest formula, A = P(1 + r/n)^(nt), where A is the desired amount, P is the initial investment, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
Plugging in the values, we get:
A = 28,910(1 + 0.06/1)^(1t) = 5,350
Simplifying the equation, we have:
(1.06)^t = 0.185
Taking the natural logarithm of both sides and solving for t, we find that t ≈ 18.36 years.