find the total income produced by a continuous income stream in the first 5 years if the rate of flow is…

find the total income produced by a continuous income stream in the first 5 years if the rate of flow is given by the following function, where t is time in years. f(t)=2500 how much was earned over 5 years? $

find the total income produced by a continuous income stream in the first 5 years if the rate of flow is given by the following function, where t is time in years. f(t)=2500 how much was earned over 5 years? $

Answer

Explanation:

Step1: Set up integral for total income

$\int_{0}^{5} 2500 , dt$

Step2: Integrate the constant function

$2500t \Big|_{0}^{5}$

Step3: Evaluate from 0 to 5

$2500(5) - 2500(0) = 12500$

Answer:

12500