When hired at a new job selling jewelry, you are given two pay options: Option A: Base salary of $15,000 a year, with a commission of 10% of your sales Option B: Base salary of $25,000 a year, with a commission of 5% of your sales In order for option A to produce a larger income, you would need sell at least $ of jewelry each year.

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?