Calculation:

Consider the provided data,

P = $5000ZSK, \(\displaystyle{r}={7.5}\%{\quad\text{and}\quad}{P}{S}{K}{1}={50}\) years

Where, P is principal, ris the rate of interest and 1 is time period in years.

For compounded continuously,

\(\displaystyle{A}={P}{e}^{{{r}{t}}}\)

Substitute the value of A, P, r,t,

\(\displaystyle{A}={5000}{e}^{{{0.075}\cdot{50}}}\)

Calculate \(\displaystyle{5000}{e}^{{{0.075}\cdot{50}}}\) with the help of a calculator,

$212,605.41

The amount received by the college is $212,605.41.

Consider the provided data,

P = $5000ZSK, \(\displaystyle{r}={7.5}\%{\quad\text{and}\quad}{P}{S}{K}{1}={50}\) years

Where, P is principal, ris the rate of interest and 1 is time period in years.

For compounded continuously,

\(\displaystyle{A}={P}{e}^{{{r}{t}}}\)

Substitute the value of A, P, r,t,

\(\displaystyle{A}={5000}{e}^{{{0.075}\cdot{50}}}\)

Calculate \(\displaystyle{5000}{e}^{{{0.075}\cdot{50}}}\) with the help of a calculator,

$212,605.41

The amount received by the college is $212,605.41.