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At time t=0 a tank holds 550 gallons of water with 100 pounds of dissolved salt....

At time t=0 a tank holds 550 gallons of water with 100 pounds of dissolved salt. An input pipe brings in solution at 8 gallons per minute at a concentration of 2 pounds per gallon. An output pipe carries away solution at 2 gallons per minute. Find how much salt is in the tank after 45 minutes.

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