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) = 3300.
A) $27,000
B) $9900
C) $18,000
D) $29,700

Question

Quizplus · Accepted Answer

To find the total income produced by the continuous income stream in the first nine years, we need to integrate the rate of flow function from 0 to 9:

∫[0,9] 3300 dt = 3300t |_0^9 = 29,700

Therefore, the total income produced in the first nine years is $29,700. The correct choice is (D). To find the total income produced by a continuous income stream, we need to integrate the rate of flow function over the given time interval. In this case, the time interval is the first nine years, or 0 ≤ t ≤ 9. 
Thus, the total income is given by:

∫3300 dt from 0 to 9 
= 3300t from 0 to 9 
= 3300(9) - 3300(0) 
= $29,700

Therefore, the answer is D, $29,700.

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