Need help answering #12.

Suppose that the seller, who is 35 years old, decides to sell this basketball at time it, sometime in the next 30 years: 0 S t S 30. At that time t, he will invest the money he gets from the sale in a bank account that earns an interest rate of r, compounded continuously, which means that after t years, an initial investment of B USD will be worth Be\"t USD. When he turns 65, he will take the money in his bank account for his retirement. Let M (t) be the amount of money in his account when he turns 65, Where t is the time at which he sells his basketball. o 12. There is another way to decide when to sell the basketball instead of thinking about putting the money from the sale into a retirement account. Suppose that today (time=0) the seller puts an amount of money W into a bank account that earns interest at an annual rate of r, compounded continuously, so that at time t the bank account will be worth We\". If at time t the basketball is sold for an amount equal to V(t) = Ae'g', how much money W would the seller have needed to invest initially in order for the bank account value and the baseball card value to be equal at the time of the sale? That amount W is called the present value of the basketball if it ends up being sold at time 15. Model the present value of the basketball as