The sugar sweet company will choose from two companies to transport its sugar to market. the first company charges $2107 to rent trucks plus an additional fee of $100.25 for each ton of sugar. the second company does not charge to rent trucks but charges $20.75 for each ton of sugar. for what amount of sugar do the two companies cost the same? what is the cost when the two companies charge the same?

Val and tony get paid per project. val is paid a project fee of $44 plus $12 per hour. tony is paid a project fee of $35 plus $15 per hour. write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.

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?

Solve for x where 0 equation: cot^2x+2cotx+1=0