When Alfred Nobel died, he len the majority of this state to fund five prices, each to be awarded annually in perpetuty starting one year after he died the sath one in economies was added water a. If he wanted the cash award of each of the five prices to be 545.000 and his estate could earn 75 per year how much would he need to fund his prizes? b. If he wanted the value of each prize to grow by 4% per year perhaps to keep up with inflation, how much would he need to leave? Assume that the Best amount was st 545,000 c. His hers were surprised by his will and fought t. If they had been able to keep the amount of money you calculated in (), and had invested it 7 per year how much would they have in 2014. 118 years after his death? a. If he wanted the cash ward of each of the five prizes to be 345.000 and his state could earn 7% per year, how much would he need to fund his pres? To fund the live peizes, he would need $2214200 Round to the nearest dollar) b. If he wanted the value of each prze to grow by 4 per year perhaps to keep up with inflation, how much would he need to leave? Assume that the first went was s 345,000 He would need to leave round to the nearest donar) c. His heirs were surprised by his will and fought it. If they had been able to the amount of money you calculated in Enter your answer in each of the answer boxes