Suppose that a large mixing tank initially holds 300 gallons of water is which 50 pounds of salt have been dissolved. Another br
ine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min. If the concentration of the solution entering is 2 lb/gal, determine a differential equation for the amount of salt A(t) in the tank at time t.
Suppose that a large mixing tank initially holds 300 gallons of water is which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min. If the concentration of the solution entering is 2 lb/gal, determine a differential equation for the amount of salt A(t) in the tank at time t.
Hi there The formula is A=p (1+r/k)^kt A future value 3000 P present value 100 R interest rate 0.02 K compounded monthly 12 T time? We need to solve for t T=[log (A/p)÷log (1+r/k)]÷k T=(log(3,000÷100)÷log(1+0.02÷12))÷12 T=170.202 years
