Anew concert venue just opened in downtown atlanta and they are in the process of deciding how many tickets they can sell for each show. the venue has three levels, two general admission levels that only have standing room, and one level with 180 seats. the first level of standing room is a square with one side measuring 75'. the second level, also standing room, is a rectangle measuring 130' by 60' ft. the third level has 180 seats. the venue thinks each person will occupy 2.25 square feet. how many tickets should they sell?

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?