(2) A study indicates that spending money on pollution control is effective up to a point buteventually becomes wasteful. Suppose it is known that when x million dollars is spent on100 xcontrolling pollution, the percentage of pollution removed is given by P(x) =:0.03x +9(i) At what rate is the percentage of pollution removal P(x) changing when 16 milliondollars is spent? Is the percentage increasing or decreasing at this level of expenditure?(ii) For what values of x is P(x) increasing?(iii) For what values of x is P(x) decreasing?

The percent of pollution removal when x million dollars are spent is given by as below: a. We need…

Answered: (2) A study indicates that spending…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The total expenditures (in millions) of current dollars for pollution abatement and control during the period from 2000 through 2019 can be approximated by the function P(x) = 166.61 e 0.03x, where x = 0 corresponds to the year 2000. (a) In what year would the total expenditures reach $208 million dollars? (b) If this model remains accurate, when would the total expenditures reach $482 million? (a) The expenditures would reach $208 million in the year mid- (Simplify your answer. Type a whole number.)
In 2010, the population of a country was 53 million and growing at a rate of 1.7% per year. Assuming the percentage growth rate remains constant, express the population, P, in millions, as a function of t, the number of years after 2010. P = f(t) = [ million people help (formulas)
2. Lijah opened an account at Advantis Credit Union. The balance of her account after x years is represented by the function b(x) = 500(1.05)*. What annual interest rate is Lijah earning? а. b. After how many years did it take for Lijah's balance to double? Show all of your work.
0.9x Determine the percentage rate of change of f(x) =- at x = 15 and x = 30. O f(15) f(15) f(30) = 17%, f(30) = 29% O f(15) f(30) = 90%, = 90% f(15) f(30) O f(15) f(30) = 38%, = 14% f(15) f(30) O f(15) f(30) f(30) = 22%, = 5% f(15) Moving to the next question prevents changes to this answer. ere to search 近

According to the U.S. Census Bureau, in 2011, the median (middle of the range) annual income of a high school graduate with no further education was about $35,400 per year. If we assume that it takes 4 years to earn a bachelor's degree and 2 additional years to earn a master's degree, the median annual income increases by 12% for each year spent toward successful completion of a degree. This describes a function I = I(y), where I is the median income in 2011 for a person with y years of college education. (a) Express in functional notation the median income in 2011 of an individual with a bachelor's degree, which requires 4 years of college. Calculate the value. (Round your answer to the nearest cent.) I = $ (b) Make a table of values that shows the median income in 2011 for individuals completing 0 through 4 years of college. (Round your answers to the nearest cent.) Years of college Median income (in 2011) 0 $ 1 $ 2 $ 3 $ 4 $ (c) Make a…
The intensity of light (in appropriate units) passing through water decreases exponentially with the depth it penetrates beneath the surface according to the functionI(x)2 = 10e-0.3x,where x is the depth in meters. A certain water plant requires light of an intensity of 1 unit. What is the greatest depth of water in which it will grow?
12 Find the slope of the tangent line, m, of g(x) = 3x2 −2x+ 4at x = 2 a. m = 12b. m = 3c. m = 0d. m is not definede. m = 10

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