Solve the problem.The Cool Company determines that the supply function for its basic air conditioning unit is  and that its demand function is , where p is the price. Determine the price for which the supply equals the demand.

A. $22.86
B. $22.36
C. $21.86
D. $21.36


Answer: C

Mathematics

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Provide an appropriate response.Explain why the following four statements ask for the same information.(i) Find the roots of f(x) = 3x3 - 4x - 1(ii) Find the x-coordinates of the intersections of the curve y = x3 with the line y = 4x + 1.(iii) Find the x-coordinates of the points where the curve y = x3 - 4x crosses the horizontal line .(iv) Find the values of x where the derivative of g(x) = x4 - 2x2 - x + 5 equals zero.

What will be an ideal response?

Mathematics

Solve the problem.The average daily air temperature of a certain city can be modeled by the equation  where x is time in days with x = 1 representing January 1, and A, B, and C are constants. Solve for x.

A. x =  sin-1  + B
B. x =  sin-1  + C
C. x =  sin-1  + C
D. x =  sin-1  + B

Mathematics

Find the general solution of the equation. Express the solution explicitly as a function of the independent variable.t-7y'(t) = 7

A. = t-8 + C
B. = 56t8 + C
C. = t8 + C
D. = 63t9 + C

Mathematics

Provide an appropriate response.When finding the amount of change in percentage problems, the percent is always based on:

A. the final or ending amount B. the final or ending amount in decrease problems C. the original or beginning amount D. the original or beginning amount for increase problems

Mathematics