A state charges polluters an annual fee of $50 per ton for each ton of pollutant emitted into the atmosphere, up to a maximum of 6,000 tons. No fees are charged for emissions beyond the 6,000-ton limit. Write a piecewise definition of the fees F(x) charged for the emission of xtons of pollutant in a year. What is the limit of F(x) as x approaches 6,000 tons? As x approaches 9,000 tons?Write the piecewise definition of the fees F(x) charged for the emission of x tons of pollutant in a year.if 0 < x≤6,000if x>6,000(Simplify your answers.)F(x) = {

Answered: Image /qna-images/answer/3f50c342-012f-4490-bc37-34f7fab16eda.jpg

Answered: A state charges polluters an annual fee…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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7. ( -) Find the determinant of the matrix of the following matrix by using expansions along rows or (and) columns: A = [12 -2 1 30-60 20 1 0 1 1 2 с Use the result to determine for what values of c the matrix A is invertible, and for what values of c, the matrix A is singular.
A 12-inch tall sunflower is planted in a garden and the height of the sunflower increases by 8% per day. What is the 1-day percent change in the height of the sunflower? At any given moment, the height of the sunflower is what percent of its height 1 day prior? What is the 1-day growth factor for the height of the sunflower? Write a function f(t) that determines the height of the sunflower (in inches) in terms of the number of days t since it was planted. What does f(4) mean in the context of this problem? If the sunflower is 23 inches tall, then how many days has the sunflower been growing for?
The function g(t) graphed below gives the ocean water surface elevation above NAVD 1988 in inches for 6 days in Nov. of 2017 at the Chincoteague Bay inlet in Chincoteague VA. t=0 represents Nov. 1, 2017. (NAVD 1988 is a vertical control of the primary height benchmark for the water in this inlet) Values above 0 represent an increase in water surface elevation above the NAVD 1988 vertical control and values below O represent a decrease in water surface elevation below the NAVD 1988 vertical control. g(x) Ocean water surface elevation above NAVD 1988 in inches 10- 0 -100 (0, -10) --20- (1.514, 2.189) --30- (1,0) (2,0) (3,-16) 3 4 (5,0) (4, -30) Date: t=0 represents Nov. 1, 2017 ▪ A) Determine the water surface elevation in relation to the NAVD 1988 vertical control height on Nov. 1, 2017.Write your answer in the context of the problem. B) Evaluate g(4). What does this mean in the context of the problem?
The quantity of dollars in a bank account is given by the function f(x)=15(1.02)x, where x is the number of years from the date at which money is initially deposited. Given this function, which of the following is true? $15 was initially deposited into the account, which grows at an annual rate of 2%. $15 was initially deposited into the account, which grows at an annual rate of 102%. $1.02 was initially deposited into the account, which grows at an annual rate of 15%. $1.02 was initially deposited into the account, which grows at an annual rate of 0.15%.

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