A contractor originally estimated the total cost of a job including labor and materials at $ 57,000. In reviewing the costs, a new estimate of $ 48,000 is made, reducing the labor cost by 15% and the material cost by 18%. What is each cost, labor and material, of the new estimate?

What is the point-slope equation of a line with slope -5 that contains the point (6,3)

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297

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