Solve the problem.Mark owns 87% of a manufacturing company. The company has a value of $268,000 and Mark receives 24% income from his ownership. Find the income amount.

A. $83,937.60
B. $37,305.60
C. $64,320.00
D. $55,958.40


Answer: D

Mathematics

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Solve the problem.The Van der Waals equation provides an approximate model for the behavior of real gases. The equation is P(V, T) =  - , where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the partial derivative of the function with respect to each variable.

A. PV =  - ; PT = 
B. PV =  - ; PT = 
C. PV = ; PT =  - 
D. PV = -  + ; PT = 

Mathematics

Solve. -  = 

A. 51 B. 1 C. 6 D. -1

Mathematics

Simplify.(57 - 10) × [(80 + 20 ÷ 5) - (8 ? 8 - 5 ? 5)]

A. 2215 B. 2079 C. 2115 D. 2172

Mathematics

The circle in the figure below has a radius of r and center at C. The distance from A to B is x, the distance from A to D is y, and the length of arc BD is s. For the following problem, redraw the figure, label it with the values given, and then solve.

? If  and , find x. ? Apply the rules regarding the use of significant digits after all computations are complete. ? ? A.
B.
C.
D.
E.

Mathematics