You are calculating potential income from an association's request for proposal. The convention will require 200 rooms for three nights, 3 lunches for 350 people at each lunch, and AV equipment for 10 breakout rooms for three days. Assuming you charge $150 per night per room, $10 per person per lunch, and $300 total per breakout room per day for the A/V equipment, what is your estimated income for the convention?

In a circle, a 45° sector has an area of 32π cm2. what is the radius of this circle? 32 cm 12 cm 16 cm 8 cm

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

George has seven boxes of five pencils. giulio three boxes of eight pencils. one of the boys arranges all his pencils equally into two groups. was this george or giulio how many are in each group explain