A tank contains 1580 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a tank at the rate 2 L/min The solution is mixed and drains rom the tank at the same rate. a) How much sugar is in the tank initially? (kg) b) Find the amount of sugar in the tank after t minutes. amount = (kg) your answer should be a function of t) c) Find the concentration of sugar in the solution in the tank after 54 minutes. concentration = (kg/L)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 63E
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A tank contains 1580 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a tank at the rate 2 L/min The solution is mixed and drains
from the tank at the same rate.
(a) How much sugar is in the tank initially?
(kg)
(b) Find the amount of sugar in the tank after t minutes.
amount =
(kg)
(your answer should be a function of t)
(c) Find the concentration of sugar in the solution in the tank after 54 minutes.
concentration =
(kg/L)
Transcribed Image Text:A tank contains 1580 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a tank at the rate 2 L/min The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank initially? (kg) (b) Find the amount of sugar in the tank after t minutes. amount = (kg) (your answer should be a function of t) (c) Find the concentration of sugar in the solution in the tank after 54 minutes. concentration = (kg/L)
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