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The Metropolitan Company sells its latest product at a unit price of $5. Variable costs are estimated to be 40% of the total revenue, while fixed costs amount to $7,000 per month. How many units should the company sell per month in order to break even, assuming that it can sell up to 5,000 units per month at the planned price?
When solving a radical equation, explain why it is important to try and isolate the radical term. If the radical term cannot be isolated, describe exactly how this will affect the process of solving the equation. Give an example.
A two-person game is played in which a fair coin is tossed until either the sequence HT (heads, tails) or the sequence TT (tails, tails) appears.
Let L:R^n -->R^n be a linear operator on R^n. suppose that L(x) = 0 for some x does not equal 0. Let A be the matrix representing L with respect to standard basis. Show that matrix A is singular.
Suppose that you select 3 cards without replacement from an ordinary deck of playing cards. If the first card that you select is a spade and the second is a heart, what is the probability that the third card that you select is a spade?
A farmer had several pens out by the barn. He had used 17 lenghts of fence to make the pens, but now he needs to use six of those fence lengths for another project. He wants to remove six fence lenghts but still have two square pens remaing. Which..
Find a function that models the total area of the four pens. (Use w to represent the width of the field, and write the function A in terms of w.)
A game consists of rolling a single fair die and pays off as follows: $3 for a 6, $2 for a 5, $1 for a 4 and no payoff otherwise. What is a fair price to pay to play this game?
If 82% of scheduled flights actually take place and cancellations are independent events, what is the probability that 3 separate flights will take place?
The sales representative here tells you they also have two floor plans available, but they only have 15 homes available. The representative tells you that floor plan #1 sells for $110,000 and floor plan #2 sells for $135,000.
Calculation involving a change in blood pH. Although the pH of human blood is normally between pH 7.3-7.5, certain situations can take place which bring about "acidosis." Acidosis is defined as an abnormal lowering in the blood pH
what is the distance between the origin and the point (5,12)? if necessary, round your answers to two decimal places.
What is the bound of a confidence interval with a width of 13? Report your answer to two decimal place.
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