Leon Bogut just received a signing bonus of $916,300. His plan is to invest this payment in a fund that will earn 10%, compounded annually. a) If Bogut plans to establish the AB Foundation once the fund grows to $2,875,743, how many years until he can establish the foundation? b) Instead of investing the entire $916,300, Bogut invests $278,700 today and plans to make 12 equal annual investments into the fund beginning one year from today. What amount should the payments be if Bogut plans to establish the $2,875,743 foundation at the end of 12 years?