Answer
The statement is True.
Work Step by Step
The statement is True.
If $f(t)$ is the rate of money flow, then the total money flow over the time interval from $t=0$ to $t=5$ is given by:
$$
\int_{0}^{T} f(t)dt.
$$
So, If $f(t)=1000 e^{0.05t} $ is the rate of money flow, then the total money flow over the time interval from $t=0$ to $t=5$ is given by:
$$
\int_{0}^{5} 1000 e^{0.05t} dt.
$$
Therefore, the statement is True.
