Jessica purchased a 600-minute pre-paid phone card and called her sister at college. After talking to her sister "t" minutes, she had less than 600 minutes on her calling card. (a) Write an equation to determine the number of minutes remaining on the card. (b) Now, suppose she talked to her sister for 65 minutes, determine how many minutes she has left on her card.

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

Calculate the total payback for a $3,500 loan at 8% annual interest with monthly payments for two years. show all of your steps. use the formula, m = pm(1 + m)^na/(1 + m)^na - 1, as needed.

Ofof is a ? a. (1, 2), (1,-2), (3, 2), (3, 4) b. (1,6), (2, ,9), (0,5) c. (0, 2), (2,3), (0, -2), (4,1) d. (2, 4), (0, 2), (2, - 4), (5,3)