The percent p of particulate pollution that can be removed from the smokestacks of an industrial plant by spending C dollars is given by the following equation. p = 100C/6900+C a. Find the percent of the pollution that could be removed if spending C were allowed to increase without bound.

Q: At an amusement park 40 percent of the tickets were sold in the first hour if 800 tickets were sold…

A: Given that  Percentage of tickets sold in first hour=40%=0.40 Number of tickets sold in first…

Q: The daily cost C (in dollars) for a manufacturer to produce z electronic video components is given…

A: given cost function is c(x) = 1000 . ln((2x^2-700)^1/3) here we have to calculate the change of cost…

Q: A landscaping company charges $42 per cubic yard of mulch plus a delivery charge of $20. Find a…

A:

Q: find the producers surplus at a price level of $255 for the price-supply equation…

A: Given price supply equation is,

Q: The value in dollars, v(x), of a certain car after x years is represented by the equation v(x) =…

A: Value of car is represented by v(x) after x years.v(x)=25000(0.86)x

Q: If Jack is 40 years older than Harry, how much slower is Jack's desired heart rate, in beats per…

A:

Q: A manufacturer can produce sunglasses at a cost of $5 a piece. It is estimated that if the…

A: Capculation are as follows

Q: The proportional relationship between the number of songs Blake downloads, s, and the total cost in…

A:

Q: a) In terms of x, what is the equation of the volume of the box?

A: Given figure, Given length of the figure =40 inch  width of the figure =20 inch

Q: .Evan plans to use a local Rent-A-Tool to rent a saw. The first hour of rental is priced at $35,…

A: The cost of renting a saw tool can be broken as, $35 for the first hour $20 for each additional hour…

Q: the profit p in million of pesos of a t-shirt; manufacturer can be modeled by p(x) = -x3+4x2+x where…

A: Given that, The profit 'p' in million of pesos of a t-shirt; the manufacturer can be modeled by p(x)…

Q: erson buys a phone for $81 and signs up for a​ single-line phone plan with 2000 monthly anytime…

A:

Q: A population of bacteria is growing according to the equation P(t) = 750e population will exceed…

A: Equation for bacteria growth is given by- Pt=750e0.04t We have to find out when the population of…

Q: The number x of printer cartridges that a store will sell per week and their price p (in dollars)…

A:

Q: It costs $55 to rent a car driven 100 km and $65 for one driven 200 km. If x is the number of…

A: Given: It costs $55 to rent a car driven 100 km and $65 for one driven 200 km

Q: Use a graph to solve the equation csc x = 1 for -2π ≤ x ≤ 2π.

A: Using a graphing calculator we graph the function y=cscx - 1 in the interval -2π ≤ x ≤ 2π.

Q: Joe keeps his savings in a bank account.  He began with $500, and adds $150 each year.  In the form…

A:

Q: The population P of a culture of bacteria is described by the equation P = 1300e0.0527 where t is…

A:

Q: The equation y = -4.5x + 35 represents the amount remaining on the gift card because the initial…

A: Step (I)Given equation:   y=-4.5x+35we know that:rate of change=dydx=m=slope of lineand initial…

Q: Use the fact that 14 gallons is approximately the same amount as 53 liters to find a mathematical…

A: Given an amount of a quantity in one unit is equal to some amount of the quantity in another unit, a…

Q: At the end of the summer, a store discounts an outdoor grill for at least 25% of the original price.…

A: Here,Original Price = PDiscount = DAnd, at least 25% of the original price implies that discount is…

Q: Evan plans to use a local Rent-A-Tool to rent a saw. The first hour of rental is priced at $35,…

A:

Q: Suppose the equation for the amount of water w (in gallons) in the pool after t hours is w=…

A: It is given that, if w is the amount of water (in gallons) in the pool after t hours, then w=…

Q: A person buys a phone for $85 and signs up for a single-line phone plan with 2000 monthly anytime…

A: Fixed cost of the phone=$85 Cost per month=$117.94

Q: Katherine has $140 in the bank and is saving $6 per week. Abbie has $462 in the bank, but is…

A: Let x be number of week Total money katherine have = $140 + $6x Total money Abbie have = $462 - $10x

Q: A toy rocket is launched from a 1.4m high platform in such a way that it's height, h(in meters),…

A:

Q: find the consumers surplus at a price level of $220 for the price-demand equation p=D(x)=500-0.07x

A: Given:

Q: When Alexander moved into a new house, he planted two trees in his backyard. At the time of…

A: Given there is two tree named as Tree A and Tree B

Q: Find the solution of the equation which passes through the x-axis.

A: If it passes through the X-axis, then, y=0 & z=0 is satisfied. So, we get, 0 = (p²+q²)/2 +…

Q: Find the slope of the graph of the equation. 2x + 3y = 6 Slope = (Enter a fully reduced fraction.)

A: The given equation is 2x+3y=6 The given equation is a linear equation To find the slope of the…

Q: If a toy rocket is launched vertically upward from ground level with an initial velocity of 148 feet…

A: NOTE: Refresh your page if you can't see any equations. . when the toy hits the ground, its height…

Q: If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet…

A:

Q: A population of bacteria is growing according to the equation P(t) = 550e0.224, Estimate when the…

A:

Q: A house purchased for $195000 is expected to double in value in 20 years. Find an equation for the…

A: let the linear relationship between value P and time t is given by  P= a +bt.....1 a,b are constants

Q: Colleen has already walked 1 kilometer this week,plus she plan to walk 6 kilometers during each trip…

A: Given that Colleen walked  1 kilometer and plan to walk 6 kilometer each trip so total trip = 7

Q: The United States is not building many nuclear power plants, but the ones it has are running at…

A: Graph of y = 1.9467t + 70.082

Q: The cost to rent a paddleboat at Central Park includes an initial fee of $7 plus $3.50 per hour.…

A: Given  the initial fee of renting paddleboat =$7 rate per hour=$3.5

Q: The income I of a computer analyst varies directly as the number of hours H worked. If the analyst…

A: income I  ∝  number of hours H  or income I  ∝  time t => I = k*t                where k is…

Q: The income I of a computer analyst varies directly as the number of hours h worked. If the analyst…

A: The income for 8 hours is $384.The income for 1 hour is $384/8 = $48.

Q: A salesperson receives a base salary of $36,000 and a commission of 12% of the total sales for the…

A: Fixed base salary os salesman = $ 36000  Commission  = 12% of total sales. To find T(k)  Where k is…

Q: 5. A plumber charges $25 for a service call, plus $50 per hour of service. Which equation below…

A:

Q: The height of a cannonball, h, in meters, over time, t, in seconds, as it is shot off a platform can…

A:

Q: Lisa is assembling fruit baskets for a large corporate order. She starts with 66 pears and will put…

A: 66 pears in starting  put 5 pears in each basket.  x = no. of fruit baskets assembeled. y = pears…

Q: The total fertility rate in a certain developing country can be modeled according to the equation f…

A: Given, f(x)=0.003x2-0.2x+6.48 Where x is the number of years since 1958.

Q: Write an equation for the quadratic graphed below: x-intercepts: (-1,0) and (4,0); y-intercept:…

A:

Q: The number x of printer cartridges that a store will sell per week and their price p (in dollars)…

A:

Q: The population of a species is modeled by the equation p(t)= -t4 + 72t2 +225, where t is the number…

A:

Q: The height of a cannonball, h, in meters, over time, t, in seconds, as it is shot off a platform can…

A:

Q: 2. Ann has 3 less than twice the amount of DVD's that Bob has. Write an equation that determines how…

A: The equation and the solution of given problem is given as follows :

Q: The income I of a computer analyst varies directly as the number of hours h worked. If the analyst…

A: Given:Analyst earns 384 dollars for working 8 hours.

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.