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) = 0.001B - 200, B(0) = 10,000
A. B = 20,000 + 19,000e0.001t, reaches a balance of zero after approximately 61 months
B. B = 20,000,000e0.001 + 2,000,000e0.001t, reaches a balance of zero after approximately 101 months
C. B = 20,000 - 19,000e0.001t, reaches a balance of zero after approximately 41 months
D. B = 200,000 - 190,000e0.001t, reaches a balance of zero after approximately 51 months
Answer: D
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Find the extreme values of the function and where they occur.y =
A. None
B. The maximum is 3 at x = 0; the minimum is at x = -2.
C. The maximum is - at x = 0; the minimum is 1 at x = -2.
D. The maximum is at x = 0; the minimum is - 1 at x = -2.
Find the indicated composite for the pair of functions.Given f(x) = 4x2 + 2x + 3 and g(x) = 2x - 7, find (g ? f)(x).
A. 8x2 + 4x - 1 B. 4x2 + 2x - 4 C. 4x2 + 4x - 1 D. 8x2 + 4x + 13
Solve for the unknown in the equation.5R + 3 = 53
A. R = 7 B. R = 10 C. R = 45 D. R = 49
Solve.
A. (1, 5) B. (-1, 10), (-5, 30) C. (-1, 0), (-5, -20) D. (1, 10), (5, 30)