1. (30 pts) A level perpetuity immediate is to be shared by 3 charities providing medical research and a fourth charity providing assistance to children of veterans. For n years, the three research charities will receive the payments equally. Thereafter, all payments will go to the children's charity. It is reported that the present value of each charities' bequest is equal when calculated with an annual effective interest rate of 12.25%. Find n. If the interest rate is a more modest 6%, what proportion of the total bequest is directed to the children's charity