Solve the problem.Steve invests in a circus production. The cost includes an overhead of $100,000, plus production costs of $4000 per performance. A sold-out performance brings in $14,000. Determine the dollar amount coming in and going out at the break-even point.
A. $10
B. $77,778
C. $140,000
D. $40,000
Answer: C
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Use the theoretical probability formula to solve the problem. Express the probability as a simplified fraction.This problem deals with eye color, an inherited trait. For purposes of this problem, assume that only two eye colors are possible, brown and blue. We use b to represent a blue eye gene and B a brown eye gene. If any B genes are present, the person will have brown eyes. The table shows the four possibilities for the children of two brown-eyed (Bb) parents. Second Parent B bFirst Parent B BB Bb b Bb bbFind the probability that these parents give birth to a child who has blue eyes (bb).
A. 1
B. 
C. 0
D. 
Perform the indicated operation. Write your result in a + bi form.(5 + 
) - (-10 + 
)
A. 15 + 2
i
B. 15 - 2
i
C. 15 - 2
D. 15 + 2
Provide an appropriate response.A student was asked to find ordered pairs that solve the system of equations x + 2y = 3 2x + 4y = 6.The student claims that (1, 1) and (-1, 2) are the only solutions. Is the student correct?
A. yes B. no
Solve the problem.A rectangular piece of cardboard measuring 20 inches by 50 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let x represent the length of a side of each such square. For what value of x will the volume be a maximum? If necessary, round to 2 decimal places.
A. 18.93 in. B. 22.07 in. C. 4.4 in. D. 37.86 in.