Find the area between the curves.x = 0, x = -2, y = ex, y = 0
A. 1 + e-2
B. e-2
C. 1 - e-2
D. e-2 - 1
Answer: C
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Evaluate the integral.
A. 96 B. 120 C. -12 D. 12
Provide an appropriate response.Suppose that you can invest $5000 in a business that guarantees you the following cash flows: $3000 at the end of 2 years, $2000 at the end of 4 years, and $2000 at the end of 6 years. Assuming an interest rate of 6% compounded monthly, find the present value of the cash flows. Is the investment profitable?
Fill in the blank(s) with the appropriate word(s).
Solve the linear inequality. Graph the solution set on a number line, and express the solution using interval notation.-4(4x + 3) < -20x + 16
A. (-?, -1]
B. (-?, 7)
C. (-?, 7]
D. (7, ?)
Solve the problem.The logistic growth function f(t) = 
describes the population of a species of butterflies 
after they are introduced to a non-threatening habitat. How many butterflies were initially introduced to the habitat?
A. 800 butterflies B. 80 butterflies C. 2 butterflies D. 9 butterflies