Suppose the income from an Internet access business is a continuous income stream with annual rate of flow given by in thousands of dollars per year. Find the total income over the next 20 years.
A) thousand dollars
B) thousand dollars
C) thousand dollars
D) thousand dollars
E) thousand dollars

Question

Suppose the income from an Internet access business is a continuous income stream with annual rate of flow given by  in thousands of dollars per year. Find the total income over the next 20 years. ​
A) thousand dollars 
B) thousand dollars 
C) thousand dollars 
D) thousand dollars 
E) thousand dollars

Quizplus · Accepted Answer

To find the total income over the next 20 years, we need to calculate the definite integral of the given continuous income stream function over the interval [0,20] (in years).

∫[0,20] 11e^(0.05t) dt

Using integration by substitution with u = 0.05t, du/dt = 0.05, dt = du/0.05,

= (11/0.05) ∫[0,1] e^u du

= (220/e)*[e^1 - e^0]

= 211.50 thousand dollars (rounded to two decimal places)

Therefore, the best choice is (C).

Suppose the Income from an Internet Access Business Is a Continuous