Theresa McIntire is planning to go to a MBA program at the end of five years from now. She will then need $$40,000$ at the end of each of two years to earn a respectable MBA degree. To restate, she will need to draw $$40,000$ at the beginning of the sixth $($end of fifth$)$ and seventh years. How much should she put at the end of each year for the next five years in a mutual fund that is expected to earn $11\mathrm{.}24$ percent per year to have the money she needs at the end of five years from now. $($Hint: Draw a time line. Challenging problem$)$