Your parents have accumulated a $$150,000$ nest egg. They have been planning to use this money to pay college costs to be incurred by you and your sister, Courtney. However, Courtney has decided to forgo college and start a nail salon. Your parents are giving Courtney $$18,000$ to help her get started, and they have decided to take year$-$end vacations costing $$12,000$ per year for the next four years. Use $6$ percent as the appropriate interest rate throughout this problem. Use Appendix A and Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods.

How much money will your parents have at the end of four years to help you with graduate school, which you will start then?

Note: Do not round intermediate calculations. Round your final answer to $2$ decimal places.

You plan to work on a master$$s and perhaps a PhD$.$ If graduate school costs $$22,500$ per year, approximately how long will you be able to stay in school based on these funds?

Note: Do not round intermediate calculations. Round your final answer to $2$ decimal places.