The cost of producing x units of a product is given by ()=400+120−120ln(),≥1. C ( x ) = 400 + 120 x − 120 ln ⁡ ( x ) , x ≥ 1. Find the minimum average cost.

Given: ac and db are diameters. m∠3=

8. kelly wants to buy a magazine that is $25. later the magazine was marked up an additional 20%. what is the new price?

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?