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IMPORTANT PLLLEASSE HELP!! it'll be greatly appreciated :D? |
1. A framer at a photo gallery wants to frame a print with a matte of uniform width all around the print. To make it pleasing to the eye, the area of the matte should equal the area of the print. If the print measures 40 cm by 60 cm, how wide should the matte be? 2. A box with no top is to be made by cutting a 10 cm square from each corner of a square sheet of metal. After bending up the sides, the volume of the box must be 64,000 cm^3. How must the original piece of metal be? Round to the nearest hundredth. 3. Using the equation "-78x^2+1230x", what t-shirt price will generate the greatest revenue? What is the greatest revenue possible? The council doesn't want to handle a lot of change. What is the optimum price that is a multiple of $0.25? PLEASE PLEASE HELP! ANYTHING WILL BE GREATLY APPRECIATED! THANKS 1) Let x be the wide of the matte; (2x+40)(2x+60)-40*60=40*60; 4x^2+200x-40*60=0 x^2-50x-600=0 (x-10)(x+60)=0 we use the solution x=10 2) let x be the side of the square (x-20)*(x-20)*10=64000 solving x=100; x=-60 3) y=-78x^2+1230x dy/dx= -156x-1230=0 (maximum) x=205/26 =7.8846..... x/0.25=31.538 31*0.25=7.75 abs(x-7.75)=.1346... 32*0.25=8 abs(x-8)=.1153... 8 is a better approximation |
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