When Alred Nobel obd, he let the majority of his estate to fund five prizes, each to be awarded annually in perpetuity starting one year after he died. (The sixth one, in economics. was added later.) a, It he wanted the cash award of each of the five peizes to be 535,000 and his estate tould eam 6% per year, how much would he need bo fund his prizes? b. If he wanted the value of each prase to grow by 4% per year (perhaps to keop up with infliation), how much would he need to loave? Assume that the fint amount was still $35,000. c. His heis were suprised by his will and fought it. if they had been able to koep the amoum of noney you calculated in b and had invested it at 6% per year, how much would they have in 2012 . 116 years aher he died