The cash flow (in millions) of a business at time t (in months) is modeled by . What will the cash flow be after 3 years (round to the nearest ten-thousand)?
A) $4.05 million
B) $20.27 million
C) $6.29 million
D) $3.68 million
E) $3.54 million

Question

The cash flow (in millions) of a business at time t (in months) is modeled by  . What will the cash flow be after 3 years (round to the nearest ten-thousand)?
A) $4.05 million 
B) $20.27 million 
C) $6.29 million 
D) $3.68 million 
E) $3.54 million

Quizplus · Accepted Answer

We need to evaluate the function at t=36 (since 3 years have 36 months). 
11ec19db_8497_ddfe_9dbe_5535c629dc7c_TBX8673_11 = $5 + (8cos(πt/6))/t + (3sin(πt/6))/t^2
11ec19db_8497_ddfe_9dbe_5535c629dc7c_TBX8673_11(36) ≈ $20.27 million. (Rounded to the nearest ten-thousand)

The Cash Flow (In Millions) of a Business at Time