The demand for a certain product is given byp=290.01x, wherexis the number of units sold per month andpis the price, in dollars, at which each item is sold. The monthly revenue is given byR=xp. What number of items sold produces a monthly revenue of$20,625? (Enter the answers as a comma-separated list.)

x=_ items

A veterinarian wishes to use192 feet of chain-link fencing to enclose a rectangular region and subdivide the region into two smaller rectangular regions, as shown in the following figure. If the total enclosed area is1386 square feet, find the widthwand lengthl of the enclosed region.

w = _ ft (smaller width) byl =_ ft

w = _ ft (larger width) byl =_ ft

A model rocket is launched upward with an initial velocity of220 feet per second. The height, in feet, of the rockett seconds after the launch is given byh=16t²+220t.

How many seconds after the launch will the rocket be390 feet above the ground? Round to the nearest tenth of a second. (Enter the answers as a comma-separated list.)

= _ s

A company has determined that the profit, in dollars, it can expect from the manufacture and sale ofx tennis racquets is given by P=0.01x²+186x120,000.

How many racquets should the company manufacture and sell to earn a profit of$677,300? (Enter the answers as a comma-separated list.)

x = _ racquets

The height of an object tossed upward with an initial velocity of152feet per second is given by the formulah=16t²+152t, whereh is the height in feet andt is the time in seconds. Find the time required for the object to return to its point of departure.

= _ sec

The height of an object thrown upward with an initial velocity of96feet per second is given by the formulah=16t²+96t, wheret is the time in seconds. How long will it take the object to reach a height of144 feet?

= _ sec