In the year 1900, in the country acirema, there were 100 lawyers and 2 million people. every 10 years, the number of lawyers doubles, and the population increases by 2 million. let t be the number of years after 1900. thus t=3 corresponds to 1903. find the equation involving t whose solution tells you in which year 20 percent of the population are lawyers. do not solve or begin to solve this equation.
.2=

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?