The owner of a quick oil-change business charges $ 18 per oil change and has 45 customers per day. If each increase of $ 2 results in 3 fewer daily customers, what price should the owner charge (to the nearest $ 2 ) for an oil change if the income from the business is to be as great as possible?

Solve for n? [tex]z = \frac{3}{4} mn[/tex]

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)

Gables properties corp. is leasing office building with an area of 49b^2+70b+25. what is the shape of the building? a) rectangle b) square