The cost C (in thousands of dollars) of removing p% of the pollutants in a lake...
Environmental Cost The cost C (in millions of dollars) of removing x percent of the pollutants emitted from the smokestack of a factory can be modeled by C = 7x 100 - x (a) What is the implied domain of C? (Enter your answer using interval notation.) Explain your reasoning. Since we are removing pollutants, only negative x-values make sense in this context. Negative x-values and values greater than 100 do not make sense in this context. Also, C(100) is...
The cost C in dollars of removing p% of the air pollutants in the stack emissions of a utility company is modeled by the equation below. 120,000p 100-P Determine the percent of air pollutants in the stack emissions that can be removed for $360,000. (Round your answer to the nearest whole number.) %
Graphs of the cost C(x), revenue R(x) and the profit P(x), in thousands of dollars, are shown, where x is the number of thousands of items produced. (a) Use the graph to find the formula for the revenue R(x). (b) The profit is given by P(x) = – x2 + 15x² - 27x- 50. What is the formula for the cost function C(x)? (c) Report the fixed costs. (d) Report the minimum marginal cost. (e) What is the largest profit...
It costs money to keep the lake at NVC clean. The cost "C" (in hundreds of dollars) of removing p percentage of pollution is 70p C(p) According what happens if NVC attempts to 100-p remove 100% of the pollution? 1
+ -/4 points HarMathAP12 2.4.045.0/15 Submissions Used Suppose that the cost C (in dollars) of removing P percent of the particulate pollution from the smokestacks of an industrial plant is given by 7600p C(O) = 100-P (a) Is C) undefined at any p-value? If so, what value? (If an answer does not exist, enter DNE.) p= (b) What is the domain of cp) as given by the equation? (Enter your answer using interval notation.) (c) What is the domain of...
34.It costs money to keep the lake at NVC clean. The cost "C" (in hundreds of dollars) of removing p percentage of pollution is C ( p ) = 70 p 100 − p. According what happens if NVC attempts to remove 100% of the pollution? 35. Set up and perform the conversion from 30 mph to meters per second. 1 foot = 0,3048 meters 1 mile = 5280 feet 36.View keyboard shortcuts12ptThe ideal gas law is PV = nRT....
The annual cost C (in thousands of dollars) and revenue R (in thousands of dollars) for a company each year from 2010 through 2016 can be approximated by the models C 254-9r1.1 and R343+3.4t where t is the year, with t 10 corresponding to 2010. (a) Write a function P that represents the annual profit of the company P) (b) Use a graphing utility to graph C. R, and P in the same viewing window ft) ft) 400 400 300...
The demand for grass seed (in thousands of pounds) at price p dollars is given by the following function. D(p) = - 3p3 – 2p2 + 1502 Use the differential to approximate the changes in demand for the following changes in p. a. $3 to $3.21 b. $6 to $6.14 thousand a. The change in demand based on a change in p from $3 to $3.21 is about pounds. (Type an integer or a decimal.)
b. Convert log, 9 = to exponential form. 7x 100 - thousand dollars. thousand com 25. The cost to remove x percent of a pollutant is given by y = Find the cost of removing: a. 50% of the pollutant b. 80% of the pollutant C. 90% of the pollutant d. 95% of the pollutant e. 99% of the pollutant f. Can all of the pollutant be removed? Explain how you know. (HINT: Think about the domain of the function.)
Question # 3. The following data set records the cost of advertising (in thousands of dollars) and the number of prescriptions written for a new drug (in thousands). Cost (x) 9 2 3 4 2 6 9 10 Number of prescriptions (y) 85 61 64 67 60 75 83 87 Using the above data: (Please use Minitab for parts a, b, d) a) A bivariate (scatter) plot for the data set. (5 points) b) Find the correlation (r) and its...