Cost, revenue, and profit are in dollars and x is the number of units.The average cost of a product changes at the rate-10C'(x) =x210and the average cost of 10 units is $40.00.(a) Find the average cost function.C=(b) Find the average cost of 20 units. (Round your answer to two decimal places.)2$

Given: The average cost of a product changes at the rate And the average cost of 10 units is $40.00

Answered: Cost, revenue, and profit are in…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section: Chapter Questions

Problem 25RE

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Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
A shallow reservoir has a one-square-kilometer water surface and an average water depth of 4 meters. Initially it is filled with fresh water, but at time t = 0 water contaminated with liquid pollutant begins flowing into the reservoir at the rate of 200 thousand cubic meters per month. The well-mixed water in the reservoir flows out at the same rate. Your first task is to find the amount x(t) of pollutant (in millions of liters) in the reservoir after t months. The incoming water has a pollutant concentration of c(t) = 30 liters per cubic meter (L/m^3). Verify that the graph of x(t) = 120 that corresponds to the reservoir's long-term pollutant content. How long does it take the pollutant content in the reservoir to reach 24 L/m^3?
A partially filled tank with 100 gallons of water in which there are 10 pounds of dissolved salt. a brine consisting of half a pound of salt per gallon is pumped into the tank at a rate of 6 gallons per minute. then it comes out at a rate of 4 gallons per minute. calculate the number of pounds in the tank after 30 minutes.
18. The reaction R to an injection of a drug is related to the dosage x (in milligrams) according to R(x) = x²(300 -x/3 ) where 600 mg is the maximum dosage. If the rate of reaction with respect to the dosage defines the sensitivity to the drug, find the sensitivity.
Temperature between fluids in a heat exchanger used to heat a medium Based on the difference (X) (X> 2) the annual fuel cost (Y1) and the annual investment cost (Y2) are given as. Determine the temperature difference that will minimize the annual total cost (Y) Y1 = 6X2 - 10X + 5000 Y2 = 25000 - X2 - 140X
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a tank initialy holds 80 gallon of a brine solution containing 1/8 lb of salt per gallon. at t=0, another brine solution containing 1 lb of salt per gallon is poured into the tank at the rate of 4 gallon/min,while the well-stirred mixture leaves the tank at the rate of 8 gallon/min. find the amount of salt in the tank when the tank contains exactly 40 gallon of solution
13. Let H(t) be the amount of raw honey at time t. During processing, the amount of raw honey present decreases at a rate proportional to H. In the first ten hours, five hundred pounds of raw honey has been reduced to four hundred pounds. Find how many pounds of raw honey remain after 10 more hours of processing Step by step explaination required
The volume of a square decreases at a constant rate of 0.8m3s-1. Find an equation for the rate of decrease of the radius.
A bacteria culture starts with 580 bacteria and grows at a rate proportional to its size. After 3 hours there will be 1740 bacteria.(a) Express the population after tt hours as a function of tt.population: (function of t)(b) What will be the population after 3 hours?(c) How long will it take for the population to reach 1310 ?

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