Joshua$$s friend, Jamie, wants to go to business school. While his father will share some of the expenses, Jamie still needs to put in the rest on his own. But Jamie has no money saved for it yet. According to his calculations, it will cost him $$39,846$ to complete the business program, including tuition, cost of living, and other expenses. He has decided to deposit $$4,200$ at the end of every year in a mutual fund, from which he expects to earn a fixed $10\%$ rate of return. It will take approximately $----$ for Jamie to save enough money to go to business school.