The price p (in dollars) and the demand x for a particular clock radio are related by the equation x = 5000- 50p. a. Express the price p in terms of the demand x, and find the domain of this function. b. Find the revenue R(x) from the sale of x clock radios. What is the domain of R? c. Find the formula for the marginal revenue. d. Find the marginal revenue at a production level of 3600 clock radios. e. Interpret R'(4600) = - 84.00. a. p=p(x) = APrice of the Radio, p(x) dollars 100 06 80- 70- 60- 50- 40- 30+

The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate of 2 inches per hour for the next 6 hours, and at a rate of 0.5 inch per hour for the final hour. Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. How many inches of snow accumulated from the storm?