QUESTION $2$

Sue has an investment worth $$236,000\mathrm{.}00.$ The investment will make a special payment of $x$ to Sue in $4$ quarters in addition to making regular quarterly payments to Sue forever. The first regular quarterly payment to Sue is expected to be $$1,900\mathrm{.}00$ and will be made in $3$ months. All subsequent regular quarterly payments are expected to increase by $0\mathrm{.}19$ percent per quarter forever. The expected return for the investment is $1\mathrm{.}13$ percent per quarter. What is $x,$ the amount of the special payment that will be made to Sue in $4$ quarters?

$$70,977\mathrm{.}99($plus or minus $10$ dollars$)$

$$68,375\mathrm{.}60($plus or minus $10$ dollars$)$

$$35,429\mathrm{.}52($plus or minus $10$ dollars$)$

$$33,872\mathrm{.}34($plus or minus $10$ dollars$)$

none of the answers are within $10$ dollars of the correct answer