The demand and supply functions for a certain brand of breath mints are demand =−20x + 150 and supply = 80x − 50, where x is the price in dollars. When the breath mint market is in equilibrium, how many breath mints are bought and sold?

Q: ind both the consumer's and producer's surplus if for a product D(x) = 46x, S(x) = 14 + 2x 2 . Round…

A:

Q: A manufacturer estimates that she can sell a maximum of 110 thousand cell phones in a city. By…

A:

Q: The rate at which a substance cools in moving air is proportional to the difference between the…

A: To solve this problem, we can use the concept of exponential decay with a differential equation. The…

Q: Suppose the supply-demand equations for a logo sweatshirt in a particular week are p-55-0.10q for…

A: Given: Demand function: p=55-0.10q   ……1   Supply function: p=25+0.20q   ……2

Q: One action that a government could take to reduce carbon emission into the atmosphere is to place a…

A: One action that a government could take to reduce carbon emission into the atmosphere is to place a…

Q: Let f(x)f(x) be the height of a maple tree in inches and xx the number of years since 2000. A linear…

A: The given linear model for the data is f(x)=9.44x+84.182, where f(x) is the height of a maple tree…

Q: Suppose that the long-lasting light bulb supply equation is given by p = 1.04 q- 7.03 and that the…

A: At equilibrium quantity demanded is equal to quantity supplied.

Q: Leptin is a hormone that has a central role in fat metabolism. One study published in the New…

A: a) c=219x2 -26.7x+1.64 Substitute 0.06 for x in the above equation to get the concentration.…

Q: Identify the relationship that exists between the 2 variables. As the weather gets colder, air…

A: The statistical relation between two variables is called correlation.

Q: A small amount of crude oil is used for manufacturing plastic. Scientists estimate that about 3…

A: Given 3 fluid ounces of crude oil is used to manufacture 1 million plastic bottles.

Q: The regression model for the number of diseases y = 0.4x² – 2.5x + 7.2 represents the number of flu…

A: Identifying the given regression curve will tell us the nature of values.  y = 0.4x2 - 2.5x + 7.2…

Q: Of the 2000 passengers, crew, and staff that boarded a cruise ship, 8 have the flu. After one day of…

A: Given: Of the 2000 passengers, crew, and staff that boarded a cruise ship, 8 have the flu. After one…

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.