When Alfred Nobel died, he left the majority of his estate to fund five prizes, each to be awarded annually in perpetuity starting one year after he died (the sich one, in economics, was added later) a. If he wanted the cash award of each of the five prizes to be $54,000 and his estate could earn 10% per year, how much would he need to fund his prizes? b. If he wanted the value of each prize to grow by 2% per year (perhaps to keep up with inflation), how much would he need to leave? Assume that the first amount was still $54,000 a. If he wanted the cash award of each of the five prizes to be $54,000 and his estate could earn 10% per year, how much would he need to fund his prizes? To fund the five prizes, he would need $(Round to the nearest dollar.) b. If he wanted the value of each prize to grow by 2% per year (perhaps to keep up with inflation), how much would he need to leave? Assume that the first amount was Enter your answer in each of the answer boxes