Beer containing 6% alcohol per gallon is pumped into a vat that initially contains 400 gallons of beer at 3% alcohol. The rate at which the beer is pumped in is 3 gallons per minute, whereas the mixed liquid is pumped out at a rate of 4 gallons per minute. Find the number of gallons of al- cohol A(t) in the tank at time t. What is the percentage of alcohol in the tank after 60 minutes? When is the tank empty?

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