Solve the problem.Assume that the profit generated by a product is given by  where x is the number of units sold. If the profit keeps changing at a rate of  per month, then how fast are the sales changing when the number of units sold is 1400? (Round your answer to the nearest dollar per month.)

A. $112,250/month
B. $3/month
C. $4490/month
D. $2245/month


Answer: C

Mathematics

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Solve the variation problem.The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container  on a side is 192 grams, find the weight of the liquid in a cubical container 5 cm on a side.

A. 15 grams B. 375 grams C. 105 grams D. 125 grams

Mathematics

Determine the coordinates of the points shown. Tell in which quadrant the point lies. Assume the coordinates are integers.

A. (-6, -8); quadrant III B. (-6, -8); quadrant IV C. (-6, -4); quadrant IV D. (-6, -4); quadrant III

Mathematics

Factor the expression completely, if possible.49y4 + 56y3 + 16y2

A. y2(7y + 4)2 B. y2(7y - 4)2 C. y2(7y + 4)(7y - 4) D. (7y2 + 4y)2

Mathematics

Express the denominate number and a compound denominate number.Express 21,606 feet in terms of miles and feet.

A. 4 miles 1606 feet B. 4 miles 1596 feet C. 4 miles 496 feet D. 4 miles 486 feet

Mathematics