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 - 3,500, B(0) = 70,000
A. B = 50,000 - 43,000e0.007t, reaches a balance of zero after approximately 12 months
B. B = 350,000,000e0.007 + 35,000,000e0.007t, reaches a balance of zero after approximately 72 months
C. B = 50,000 + 43,000e0.007t, reaches a balance of zero after approximately 32 months
D. B = 500,000 - 430,000e0.007t, reaches a balance of zero after approximately 22 months
Answer: D
Mathematics
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