Solve the problem.There are five brands of a product on the market, three of which have very loyal customers who never change brands. The transition matrix for the five brands is shown below (where the brands are labeled A, B, C, D, and E). About how many times, on average, will a person currently using brand C or brand D use his or her current brand before trying one of the brands that have loyal followings? Round your answer to the nearest hundredth.ABCDE
A. 0.23
B. 1.40
C. 1.22
D. 2.62
Answer: D
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Solve the problem.A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing 
of salt runs into the tank at the rate of 4 gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 3 gal/min. Find the solution to the differential equation that models the mixing process.
A. y = 4(50 + t) - 
B. y = 4(50 + t) - 
C. y = 2(100 + t) - 
D. y = 2(100 + t) - 
Evaluate the integral by changing the order of integration in an appropriate way.
A. 
ln 5 (1 - sin 4)
B. 
ln 5 (1 - cos 4)
C. 
ln 5 (1 - cos 4)
D. 
ln 5 (1 - sin 4)
Provide an appropriate response.Is the following solution correct?100n3 = 25n100n2 = 2510n = ±5n = 
or n = - 
What will be an ideal response?
Subtract. Check by adding.
A. 2279 B. 2259 C. 7283 D. 2283