Grandpa joe wants to open an account for his grandchildren that he hopes will have $80,000 in it after 20 years. how much must he deposit now into an account that yields 2.75% interest, compounded monthly, so he can be assured of reaching his goal?

Which fraction is not equivalent to 8/12 a. 2/3 b. 24/36 c. 4/10 d. 6/10

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

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.