A tank has 100 gallons of water in it at time $t = 0$ minutes. Water begins to be pumped into the tank at time $t = 0$. A different pipe is draining water from the tank starting at $t = 0$. Water is being removed from the tank at a rate modeled by the function $S(t) = -8(0.87)^t + 10$, where $S(t)$ is measured in gallons per minute. Water is being pumped into a tank at a rate modeled by the function $M(t) = 3(1.1)^t$, where $M(t)$ is measured in gallons per minute. What is the total amount of water that has been removed from the tank from time $t = 0$ to time $t = 14$? You may use a calculator and round to the nearest thousandth. Use proper units and show how you got your answer.
Added by Darrell H.
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We are given the rate at which water is being removed from the tank, S(t) = -8(0.87)^t + 10. Show more…
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