ANSWER A B AND C Please

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 sixth one,

in economics, was added later$).$

a$.$ If he wanted the cash award of each of the five prizes to be $$47,000$ and his estate

could earn $8\%$ 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 first amount was

still $$47,000.$

c$.$ His heirs were surprised by his will and fought it$.$ If they had been able to keep the

amount of money you calculated in $($b$),$ and had invested it at $8\%$ per year, how much

would they have in $2020,124$ years after his death?

a$.$ If he wanted the cash award of each of the five prizes to be $$47,000$ and his estate

could earn $8\%$ per year, how much would he need to fund his prizes?

To fund the five prizes, he would need $

$($Round to the nearest dollar.$)$