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Suppose you have a lemonade stand, and when you charge $2 per cup of lemonade you sell 100 cups. But when you raise your price to $4 you only sell 50 cups. Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear
Solve by factoring. A rectangular poster has an area of 190 in.^2. The height of the poster is 1 in. less than twice its width. Find the dimensions of the poster.
What is the probability of getting at least 1 diamond in a 5-card hand dealt from a standard 52-card deck? 2. In a family with 3 children, excluding multiple births, what is the probability of having 2 boys and 1 girl, in any order? Assume that a b..
A marketing expert for MTV is planning a survey in which 500 people will be randomly selected from each age group of 10-19, 20-29, and so on. What type of sampling technique is being used?
What is the marginal cost per bicycle?
Follow up with explaining how these systems of linear equations or algebra sets would be most applicable in personal or professional real-world situations. Give specific example.
Using the definition of a measurable function, show that any constant function is measurable. Definition of a measurable function: the function f is measurable on the interval [a,b] if for all c in R, the set {x in [a,b] : f(x) >c} is measurable.
There are many applications used in the area of solving systems of equations. For example, systems of equations can be used to find the optimal number of items to produce to ensure the highest profit of those particular items.
If the probability of seeing moose in a day in a certain region of Alaska is 0.47, what is the probability of not seeing any moose in a day there?
Ming drops a baseball from the top of a 340-foot building. To the nearest tenth of a second, for how many seconds will the baseball fall?
The surrounding lawn is to be 10m wide on the north and south sides of the garden and 3m wide on the east and west sides. Find the dimensions of the rose garden if the total area of the rose garden and the lawn together is to be a minimum.
Evaluate the maximum height of the firework from the given function - Evaluate the maximum height of the firework.
If the compant plans to increase monthly advertising expenditures at the rate of 1.5 thousand dollars per month, how fast will sales rise?
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