A trophy company sells trophies for an $80 engraving fee and $5 per trophy. They purchase the trophies from a factory at $3 per trophy, but they get a $60
discount for buying in bulk. Let t represent the number of trophies. Which of the
following expressions can be used to solve for the trophy company's profits?
O (80 + 5t) - (35 + 60)
O (5t - 3t)60
0 (80 + 3t) - (5t + 60)
O (80 + 5t) - (35 - 60)
(80 + 3t) - (50 - 60)

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?