Suppose that a machine's production is considered a continuous income stream with an annual rate of flow

Question:

Suppose that a machine's production is considered a continuous income stream with an annual rate of flow at time t given by f (t)=150e-0.2t in thousands of dollars per year. Money is worth 8%, compounded continuously.
(a) Find the present value of the machine's production over the next 5 years.
(b) Find the of the production 5 years from now.
Future Value
Future value (FV) is the value of a current asset at a future date based on an assumed rate of growth. The future value (FV) is important to investors and financial planners as they use it to estimate how much an investment made today will be worth...