Add. 31.5 + 4.5 + 124.16

A) 484.16
B) 48.42
C) 155.66
D) 160.16
E) 156.11


D) 160.16

Mathematics

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Answer the question.Supply and demand equations are given bywhere y represents price in dollars and x represents the number of items in supply. The market equilibrium is the solution to this system. At market equilibrium, is the supply 22 items and the price $720?

A. Yes B. No C. Cannot be determined

Mathematics

Provide an appropriate response.The cost, in millions of dollars, for a company to manufacture x thousand automobiles is given by the function  Find the number of automobiles that must be produced to minimize cost. Cost to Manufacture Automobiles

A. 6 thousand automobiles B. 16 thousand automobiles C. 2 thousand automobiles D. 4 thousand automobiles

Mathematics

Solve the problem.John (whose line of sight is 6 ft above horizontal) is trying to estimate the height of a tall oak tree. He first measures the angle of elevation from where he is standing as 35°. He walks 30 feet closer to the tree and finds that the angle of elevation has increased by 12°. Estimate the height of the tree rounded to the nearest whole number.

A. 61 ft B. 90 ft C. 86 ft D. 67 ft

Mathematics

Solve the problem.Given that the polar equation r = a(1 - e2)/(1 + e cos ?) models the orbits of the planets, compare Earth's orbit relative to the sun with that of Pluto and describe the difference. For Earth,  and  For Pluto,  and 

A. Pluto's orbit closely approximates a circle with the sun positioned at its center. Earth's orbit is more elliptical with the sun positioned on its long axis about 10 astronomical units away from the center. B. The orbits of Earth and Pluto are both circular, with the sun positioned at their centers, but the diameter of Pluto's orbit is about 40 times that of Earth. C. Earth circles the sun, but Pluto does not. D. Earth's orbit closely approximates a circle with the sun positioned at its center. Pluto's orbit is more elliptical with the sun positioned on its long axis about 10 astronomical units away from the center.

Mathematics