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0 Question 20 v A 60-gallon tank initially holds 20 gallons of salt water containing 12 pounds of salt. Suppose salt water containing 7 pounds of salt per gallon is pumped into the top of the tank at the rate of 8 gallons per minute, while a well-mixed solution leaves the bottom of the tank at a rate of 4 gallons per minute. Let 8(t) represent the number of pounds of salt in the vat after t minutes. (AgWrite the DE model for the time rate of change of salt in the vat. Also include the initial condition. d E_ 8(o)=:] (B) Solve the initial value problem to find the amount of salt in the vat as a function of time. so = :J (C) How much salt is in the tank when the tank is full? pounds 0 Question 22 v Your employer automatically puts 15 percent of your salary into a 401 (k) retirement account each year. The account earns 8% interest. Suppose you just got the job, your starting salary is $45000, and you expect to receive a 3.5% raise each year. For simplicity, assume that interest earned and your raises are given as nominal rates and compound continuously. Find the value of your retirement account after 35 years 0 Question 24 v dy Use Euler's Method to solve the differential equation: d = 4 - y + 5 - t y Where to = 3 and yo = -5 using At = 0.25 Do not conduct any rounding while performing the calculations, carry all the digits. 0 Question 25 v day Use Euler's Method to solve the differential equation: E = 2 - y + 2 - t on the interval 2