10. Ahmed wishes to retire with superannuateon worth half a million dollars in 25 years time. On Ist August each year he pays a contribution to a scheme that gives interest of 6-6% per annum, compounded annually. (a) Let M be the annual contribution. Show that the value of the investment at the end of the nth year is An = M x 1-066 x (1-066" - 1) 0-066 (b) Hence show that the amount of each contribution is $7852.46