Solve the problem.A 2000-L tank is initially filled with a copper sulfate solution with a concentration of 50 g/L. A copper sulfate solution with a concentration of 20 g/L flows into the tank at a rate of 15 L/min. The thoroughly mixed solution is drained from the tank at a rate of 15 L/min.(a) Write an initial value problem for the mass of the copper sulfate.(b) Solve the initial value problem.

A. (a) m'(t) = -0.007m + 300, m(0) = 100,000
(b) m = 60,000e-0.007t + 40,000
B. (a) m'(t) = -0.007m + 20, m(0) = 50
(b) m = -39,950e-0.007t + 40,000
C. (a) m'(t) = 0.008m + 300, m(0) = 50
(b) m = -39,950e0.008t + 600,000
D. (a) m'(t) = -133.333m + 300, m(0) = 100,000
(b) m = 60,000e-0.007t + 600,000


Answer: A

Mathematics

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