A consultant has issued an environmental report on the cost of cleaning up a property that was previously the site of a chemical factory. Costs can increase dramatically depending on the percent of pollutants that needs to be removed. Her report gives the cost, C, in dollars, of removing p% of the 50000 pollutants from the site as C(p)=- 100 – P a) State the domain of the function. b) Determine the rate of change in the cost of cleaning up 95% of the pollutants on the property. c) Would it be affordable to clean up all of the pollutants? Explain.

A consultant has issued an environmental report on the cost of cleaning up a property that was previously the site of a chemical factory. Costs can increase dramatically depending on the percent of pollutants that needs to be removed. Her report gives the cost, C, in dollars, of removing p% of the 50000 pollutants from the site as C(p)=- 100 – P a) State the domain of the function. b) Determine the rate of change in the cost of cleaning up 95% of the pollutants on the property. c) Would it be affordable to clean up all of the pollutants? Explain.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: 2. When a patient is given a vitamin B-12 treatment to promote red blood cell formation, the dose D,…

A: Need to find dosage for weighing 175 pounds

Q: As a car ages, its value decreases. The value of a particular car with an original purchase price of…

A: we need to answer the questions from the given function

Q: ConEd, the NY power company, charges its customers $6.56 a month, plus an ad- ditional 87.357 cents…

A: The NY power company charges its customers $6.56 a month, plus an additional 87.357 cents per therm…

Q: Suppose y is inversely proportional to the square of x. Sketch a graph of this relationship for x>…

A: According to given data y=kx ..1 Now,…

Q: 2. Restaurant equipment that had initially been worth $38,000 has depreciated to $28,600 five years…

Q: E. coli is a very harmful type of bacteria. The relation N = No(2) zo estimates the number of…

Q: A car travels at a constant speed and covers 140 km in 4 h. If s represents distance travelled (in…

Q: The worst ecological disaster in U.S. history began on April 20, 2010, and was caused by an…

A: bn=2.520n & rn=441,000n a). an=bn-rn=2.520n-441,000n=-4,40,997.48n

Q: Suppose and investment's value, V, can be tracked with the function v(t) = 932(1.005)120), www. ,…

A: Option D is correct answer. Detailed solution is given below.

Q: 5. Go through the Additive and Homogeneity properties to show whether T is a matrix (or linear)…

Q: 9, etermine whether the equation y%D - x defines y as a function of x.

A: Yes, because for any input x, the equation yields only one output y.

Q: A company charting its profit notices that the relationship between the number of units sold, and…

Q: Suppose the supply per week for a product is 1254 units if the price per unit is $46 and 1518 units…

A: number of units/week supplied = 1254 price per unit $46 price per unit of 1518 units = 79$

Q: Two functions are shown. Function 1: y = ³x X + 8 Function 2: X -6 0 12 y -1 1 5 What is the rate of…

A: Given that Function 1: y=32x+8Function 2: xy-6-101125

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: (d) Can you think of other variables that might explain the variation in monthly rent?

A: Given: Size (square feet) Rent ($) 850 1950 1450 2600 1085 2200 1232…

Q: The cost of laying wood floors consists of a base price of $250, plus $3.50 for each square foot…

Q: The worst ecological disaster in U.S. history began on April 20, 2010, and was caused by an…

A: The function bn is given by: bn=2.520n million gallons where, bn represents the…

Q: The price p (in dollars) and the demand x for a particular clock radio are related by the equation x…

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

A consultant has issued an environmental report on the cost of cleaning up a property that was
previously the site of a chemical factory. Costs can increase dramatically depending on the percent of
pollutants that needs to be removed. Her report gives the cost, C, in dollars, of removing p% of the
50000
pollutants from the site as C(p)=
100 – p
State the domain of the function.
a)
b)
c)
Determine the rate of change in the cost of cleaning up 95% of the pollutants on the property.
Would it be affordable to clean up all of the pollutants? Explain.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

The growth rate of the speed of sound in relation to the temperature in degrees Fahrenheit is a linear function. The speed of sound at 0 degrees Fahrenheit is 1052.3 feet per second. For every 1 degree Fahrenheit rise in temperature, the speed of sound increases by 1.1 feet per second. A. Identify the initial value of linear function that gives the speed of sound in terms of temperature. B. A 20 degree Fahrenheit rise in temperature would provide what increase in the speed of sound? C. What would the speed of sound be after a 67 degree Fahrenheit rise in temperature?
8. The Federal debt held by the public as a percent of the gross domestic product (GDP) is modeled by the function y = 0.00630t3 – 0.289t² + 4.00t + 25.3 where t is the time (in years) since 1980. Find the average public debt as a percent of GDP, from 2000 to 2015.
3. Consider a function involving the height over time of a ball thrown into the air. Which would be the independent variable? Which would be the dependent variable? How do you know this? Explanation:
The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
I am making a mistake somewhere in working this problem out... Please help So I can update my notes.
X₁ 2009 2010 2011 2012 2013 2014 2015 2016 (2 N 3₁ 45.3 50.2 51.4 50.2 52.9 54.1 55 57.25 powered by desmos X Y: # of gym memberships (in millions) 58- 56- 54- 52- 50- -48- 46- 44- 42- 4008 (2010, 50.2) 2009 (2009, 45.3) 2010 (2011, 51.4) (2012, 50.2) (2013, 52.9) 2011 x: Year 2012 2013 (2016, 57.25) (2015, 55) (2014, 54.1) 2014 2015 2016
Pre Calc Direct and Inverse Variation
10. The number of male alates in an ant colony has been found to be approximately a linear function of the age of the colony, with a 5-year-old colony having 8.2 alates on average, and a 17-year-old colony having an average of 33.4 alates. Write the number of male alates ( y ) as a linear function of the age of the colony in years (t).