Solve the problem.The initial value problem models the payoff of a loan. Solve the initial value problem for t ? 0, and determine the first month in which the balance is zero. B'(t) = 0.007B - 2800, B(0) = 70,000

A. B = 40,000 + 33,000e0.007t, reaches a balance of zero after approximately 37 months
B. B = 40,000 - 33,000e0.007t, reaches a balance of zero after approximately 17 months
C. B = 280,000,000e0.007 + 28,000,000e0.007t, reaches a balance of zero after approximately 77 months
D. B = 400,000 - 330,000e0.007t, reaches a balance of zero after approximately 27 months


Answer: D

Mathematics

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