Solve the problem.Among a group of 85 investors, 27 owned shares of Stock A, 34 owned shares of Stock B, 44 owned shares of Stock C, 12 owned shares of both Stock A and Stock B, 13 owned shares of Stock A and Stock C, 18 owned shares of Stock B and Stock C, and 8 owned shares of all three. How many investors did not have shares in any of the three? How many owned shares of either Stock A or Stock C but not Stock B?

A. 23; 31
B. 15; 31
C. 15; 36
D. 15; 39


Answer: C

Mathematics

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Use power series operations to find the Taylor series at x = 0 for the given function.f(x) = x7e3x

A.
B.
C.
D.

Mathematics

Provide an appropriate response.Predict whether the value of the expression will be odd or even. Explain your answer.(75)8 

A. Even; The exponent is even, therefore the product will be even. B. Odd; The product of any two or more odd numbers is another odd number.

Mathematics

Solve the problem.The data below represent the average monthly cost of natural gas in an Oregon home.   Above is the graph of 45.05 sin x superimposed over a scatter diagram of the data. Find the sinusoidal function of the form  which best fits the data.

A. y = 45.05 sin  + 21.20
B. y = 45.05 sin  + 21.20
C. y = 45.05 sin  + 66.25
D. y = 45.05 sin  + 66.25

Mathematics

Find the integral. dx

A. 6x5/3 + C
B. x5/3 + C
C. x5/3 + C
D. x5/3 + C

Mathematics