A man’s house vacuum cleaners. He gets to keep 1/8 of his sales as a commission. how much must he’s so in order to earn $1000?

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters