(Solved): Problem 2 A couple (both are 32 years old at the time) received a \( \$ 7,500 \) inheritance and in ...

Problem 2 A couple (both are 32 years old at the time) received a \( \$ 7,500 \) inheritance and invested the full amount in a fund that grows at \( 8 \% \), compounded monthly. The value of the fund is given by: \[ S=7500(1.0067)^{\wedge}(12 x) \] a) How much is in the fund when the couple reaches age 65? (2 points) b) What would the impact have been if the couple had received and invested the inheritance 10 years earlier? (How much more would they have at age 65?) (2 points) c) Does the additional 10 years of investment described in Part B make a very big difference? Why or why not? ( 2 points)