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Suppose a vendor sells seat tickets and floor tickets to a concert. She would like to determine the price she should charge for each ticket type to meet her needs. She can admit 500 people on the floor and 250 people for seats. She needs a concert revenue of $25,750 in order to cover her costs and to take home a little bit of profit. Additionally, the average of the two ticket prices should be $20 so that the average price that shows up on her website sounds appealing to concert-goers. Assume she will fill up the venue.
1. Set up the problem above as a system of linear equations problem. Clearly explain your thought-process. Solve the system and analyze the results. Incorporate a graph of your solution. If any issues exist with the solution, discuss what happened and why it happened.
Two rainstorms occurred in one week in a certain area. The first storm lasted 25 hours and the second storm lasted 15 hours for a total 1025 mL of rain. What was the rate of rainfall for each of the two storms if the sum of the two rates was 55 mL..
If auditing of financial statements is required for the protection of public investors, should not all PCAOB members be taken from the investment community that uses audited financial statements? Why or why not?
Calculate the z or t value of the sample test statistic
A cylinder is inscribed in a right circular cone of height 2 and radius (at the base) equal to 5.5. What are the dimensions of such a cylinder which has maximum volume?
How many cubic yards of concrete are needed?
You are tasked with choosing a corporation and discussing the importance of ethics and social responsibility in relation to that particular corporation.
You are designing a rectangular poster to contain 48 in^2 of printing with a 3-in. margin at the top and bottom and a 1-in. margin at each side. What overall dimensions will minimize the amount of paper used?
Determine the gradient grad f and the value of |grad f| in spherical coordinates
Suppose $4000 is invested in an account which offers 6.25% compounded monthly. a) Express the amount A in the account as a function of the term of the investment t in years
Suppose the system below is consistent for all possible values of f and g. What can you say about the coefficients c and d? Justify your answer.
If 1400 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
In a management trainee program, 80 percent of the trainees are female, 20 percent male. Ninety percent of the females attended college, 78 percent of the males attended college. A management trainee is selected at random. What is the probability tha..
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