A tank contains 2580 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a tank at the rate 8 L/min The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank initially? 0 (kg) (b) Find the amount of sugar in the tank after t minutes. amount = 129 (kg) (your answer should be a function of t) (c) Find the concentration of sugar in the solution in the tank after 33 minutes. concentration = 0.05 (kg/L)

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ISBN:9781337282291
Author:Ron Larson
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A tank contains 2580 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a tank at
the rate 8 L/min The solution is mixed and drains from the tank at the same rate.
(a) How much sugar is in the tank initially?
0 (kg)
(b) Find the amount of sugar in the tank after t minutes.
amount = 129 (kg)
(your answer should be a function of t)
(c) Find the concentration of sugar in the solution in the tank after 33 minutes.
concentration = 0.05 (kg/L)
Transcribed Image Text:A tank contains 2580 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a tank at the rate 8 L/min The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank initially? 0 (kg) (b) Find the amount of sugar in the tank after t minutes. amount = 129 (kg) (your answer should be a function of t) (c) Find the concentration of sugar in the solution in the tank after 33 minutes. concentration = 0.05 (kg/L)
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Entered
129*[1-(e^[(-2*t)/645])]
12.55
At least one of the answers above is NOT correct.
amount =
(a) How much sugar is in the tank initially?
0 (kg)
(b) Find the amount of sugar in the tank after t minutes.
129(1-) (kg)
(your answer should be a function of t)
Answer Preview
0
129(1 – e)
12.55
Result
A tank contains 2580 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a tank at
the rate 8 L/min The solution is mixed and drains from the tank at the same rate.
(c) Find the concentration of sugar in the solution in the tank after 33 minutes.
concentration = 12.55 (kg/L)
correct
correct
incorrect
Transcribed Image Text:Entered 129*[1-(e^[(-2*t)/645])] 12.55 At least one of the answers above is NOT correct. amount = (a) How much sugar is in the tank initially? 0 (kg) (b) Find the amount of sugar in the tank after t minutes. 129(1-) (kg) (your answer should be a function of t) Answer Preview 0 129(1 – e) 12.55 Result A tank contains 2580 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a tank at the rate 8 L/min The solution is mixed and drains from the tank at the same rate. (c) Find the concentration of sugar in the solution in the tank after 33 minutes. concentration = 12.55 (kg/L) correct correct incorrect
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