Solve the problem.
-Find the total income produced by a continuous income stream in the first nine years if the rate of flow is f(t) =5000.
A) $4500
B) $22.500
C) $90,000
D) $45,000

Question

Quizplus · Accepted Answer

The total income produced by a continuous income stream is found by integrating the rate of flow function over the given time interval. In this case, we want to find the total income produced in the first nine years, which means we need to integrate from t = 0 to t = 9:

∫₀⁹ 5000 dt = 5000t | from t = 0 to t = 9
= 5000(9) - 5000(0)
= $45,000

Therefore, the correct answer is D. To find the total income produced by a continuous income stream in the first nine years, we need to integrate the given rate of flow function f(t) from 0 to 9.

∫₀⁹ f(t) dt = ∫₀⁹ 5000 dt = 5000t |_₀⁹ = 5000(9) - 5000(0) = 45000

Therefore, the total income produced by the income stream in the first nine years is $45,000.

Solve the Problem. -Find the Total Income Produced by a Continuous Income Stream