A box contains 12 red and 8 green balls. A contestant draws one ball. The expected value is ____.
A. $75
B. $50
C. $25
D. $0
Answer: D
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Find the limit using 
= 1.
6x2(cot 3x)(csc 2x)
A. 1/3 B. 1 C. 1/2 D. Does not exist
Using Green's Theorem, find the outward flux of F across the closed curve C.F = (x - y)i + (x + y)j; C is the triangle with vertices at (0, 0), (3, 0), and (0, 6)
A. 36 B. 108 C. 0 D. 18
The center and radius of a circle are given. Write the equation of each circle in standard form.Center: (-7, 4), r = 
A. (x + 4)2 + (y - 7)2 = 25 B. (x - 4)2 + (y + 7)2 = 25 C. (x - 7)2 + (y + 4)2 = 5 D. (x + 7)2 + (y - 4)2 = 5
Provide an appropriate response.A group of investors has $500,000 to invest in the stocks of three companies. Company A sells for $50 a share and has an expected growth of 13% per year. Company B sells for $20 per share and has an expected growth of 15% per year. Company C sells for $80 a share and has an expected growth of 10% per year. The group decides to try a new investment strategy which entails buying equal amounts of shares in Company B and Company C, and having a goal of 11.4% growth per year. How many shares of each stock should they buy?
What will be an ideal response?