A tank has initially 10 lb of salt dissolved in 100 gal of water. A solution containing a variable concentration of salt enters the tank with the rate 5 gal/min and a well-mixed solution exits the tank with the same rate. The concentration of salt in the solution entering the tank is given by the formula c(t) = 0.5e-t/10, where the concentration is in lb/gal and time is in minutes. Find the formula for the amount of salt in the tank as a function of time?

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