Suppose you have a child and want to make sure that you have enough money to pay for their college. They were born today, will attend college $19$ years from today, the tuition they will pay will increase from its present level of $$10,800$ per year $($at ISU$)$ at the rate of $2\%$ per year, and you have an instrument available to you that will earn $6\%$ per year. How much do you have to put into that instrument today to pay for four years of school? Show your work.