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 integrate the given continuous income stream function over the interval [0,20]:

∫[0,20] 11e^(0.1t) dt

= [110e^(0.1t)/ln(10)]|[0,20]

= (110/e^2 - 110)/ln(10)

= 1,593.56 thousand dollars (rounded to two decimal places)

Therefore, the correct answer is C, 11ea984b_b0b2_fa94_9029_df5d519bbd56_TB4005_11 thousand dollars.

Suppose the Income from an Internet Access Business Is a Continuous