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A furniture company displays bedroom sets which require 21 square meters of space and living room sets which require 42 square meters of space. The company, which has 546 square meters of available space, wants to display at lease 6 bedroom sets and at least 5 living room sets.
1) Let x represent the number of bedroom sets, and y represent the number of living room sets. Write a system of inequalities to represent the number of furniture sets that can be displayed.
2) If a bedroom set sells for $10,000 and a Living room sells for $18,000, determine the number of bedroom sets and living room sets that must be sold to maximize the amount collected.
you collect $33000 after taxes and decide to invest it in two funds that return 4% and 2.25% for a total of 970 after the first year. How much did you invest in each?
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Suppose X, Y, and Z are random variables with joint density function f(x, y, z) = Ce-(0.5x+0.2y+0.1z) if x 0, y 0, z 0, and f(x, y, z) = 0 otherwise.
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A garden is rectangular with dimensions 20 m by 25 m . it is surrounded by a walkway. the outside perimeter of the walkway is 114m. The width of the walkway is equal on all four sides of the garden. What is the width of the walkway? use an algebra..
a ladder 5 m long,leaning against a vertical wall makes an angle 65 degrees with the ground.
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to earn a B in your algebra class, you must achieve a test average 84 and 86, inclusive. you score 86,85,80 on the first three tests. what possible scores can you earn on the fourth and final test to earn a B in the course.
Prove that the regression line passes through the centroid
A recipe uses two eggs, three cups of flour & some other ingredients. The recipe makes enough batter for 6 servings. How many cups of flour will be needed to make enough batter for ten servings?
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