Answer
The amount must the Druckers provide the college is equal $\$ 30,000 $
Work Step by Step
Amount must the Druckers provide the college is given by the following integral:
$$
\int_{0}^{\infty} 3000 e^{-0.1 t} d t
$$
we will evaluate this integral . By definition
$$
\begin{split}
\int_{0}^{\infty} 3000 e^{-0.1 t} d t & = \lim _{b \rightarrow \infty} \int_{0}^{b} 3000 e^{-0.11} d t \\
& =\left.\lim _{b \rightarrow \infty} \frac{3000 e^{-0.16}}{-0.1}\right|_{0} ^{b} =\\
&=\lim _{b \rightarrow \infty}\left(\frac{3000 e^{-0.1 b}}{-0.1}+\frac{3000}{0.1}\right)\\
& =0+30,000 \\
& =\$ 30,000
\end{split}
$$
The amount must the Druckers provide the college is equal $\$ 30,000 $
