As machines get older, the cost of maintaining them tends to increase. Suppose for a particular machine, the rate at which the maintenance cost is increasing is approximated by the function C'(t)=(20t+24)√(2.5t^2+6t) for 0≤t≤150≤t≤15

where C is the maintenance cost in dollars and tt is the number of years since the purchase. The company will sell or scrap the machine in 15 years and buy a new one if the cost to maintain it in its last year of service is projected to exceed $7,750. Round all answers to the nearest cent.

a. What is the total expected cost to maintain this machine over its first 3 years of service?

b. What is the total expected cost to maintain this machine in its last year of service?

c. How many times more expensive is it to maintain the machine in its last year of service than its first year of service? Round your answer to the nearest tenth.

Emma will roll two number cubes labeled 1 through 6. she will record the sum of the two numbers after each roll. she will roll the two cubes 540 times. how many times should emma expect the sum to equal 5?

The area of a rectangle is 54x^9y^8 square yards.if the length of the rectangle is 6x^3y^4 yards,which expression represents the width of the rectangle in yards

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.