Jessica knows that .57575757 is a rational number, so she should be able to write it as a fraction. She wonders how to rewrite it, though. She started to rewrite it as 57/100 but she is not sure if that correct. Is 57/100 equal to .57575757? Explain your answer.

Find the slope of the line that contains the following points. r(-2, 4), s(6, -2)

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

An initial investment of $100 is now valued at $150. the annual interest rate is 5%, compounded continuously. the equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. about how long has the money been invested? use your calculator and round to the nearest whole number. years