A large tank is filled to capacity with 300 gallons of pure water. Brine containing 4 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at a rate of 6 gals/min. Find the number A(t) of pounds of salt in the tank at time t. A(t)=301-0.31² lb X How long (in minutes) will it take for the tank to be empty after this process has started? 100 ✔min

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A large tank is filled to capacity with 300 gallons of pure water. Brine containing 4 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at a rate of 6 gals/min. Find the number A(t) of pounds of salt in the tank at
time t.
A(t) = 30t0.3t²
lb
X
How long (in minutes) will it take for the tank to be empty after this process has started?
100
min
Transcribed Image Text:A large tank is filled to capacity with 300 gallons of pure water. Brine containing 4 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at a rate of 6 gals/min. Find the number A(t) of pounds of salt in the tank at time t. A(t) = 30t0.3t² lb X How long (in minutes) will it take for the tank to be empty after this process has started? 100 min
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