The value v(t) of a $18,000 car after t years that depreciates at 20% per year is given by the formula v(t) = v0(b)t. what is the value of v0 and b, and what is the car's value after 5 years (rounded to the nearest cent)? hint: use the equation b = 1 − r to determine depreciation.

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

F(x)=x/2-2 and g(x)=2x^2+x-3 find (f+g)(x)

Thanh and her crew are building a stage in the shape of a trapezoid for an upcoming festival. the lengths of the parallel sides of the trapezoid are 14 ft and 24 ft. the height of the trapezoid is 12 ft. what is the area of the stage? enter your answer in the box. ft²