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Consumers in a certain state choose between three long distance telephone services. GTT, NCJ, and Dash. Aggressive marketing by all three companies results in a continual shift of customers among the three services. Each year, GTT loses 30% of its customers to NCJ and 20% to Dash, NCJ loses 15% of its customers to GTT and 5% to Dash, and Dash loses 5% of its customers to GTT and 30% to NCJ. Assuming that these percentages remain valid over a long period of time, what is each company's expected market share in the long run?
the width of a rectangle is 7 feet less than the length the area is 120 square feet find the length and the width of the rectangle.
using the telephone numbers listed in your local directory as your population randomly obtain 20 samples of size 3.
Determine the slope of the tangent to each of the following curves:
Similarly, one additional unit will be occupied for each 1 dollar decrease in rent. What rent should the manager charge to maximize revenue?
How many of the bulbs should she plant next fall if she would like at least 52 to bloom?
Solve the equation on the interval.
A particle is moving along the curve y= 3 sqrt{4 x + 9}. As the particle passes through the point (4, 15), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this ..
Let P(n) be the proposition "If a and b are positive real numbers, then (a+b)^n >_ a^n + b^n." Prove that P(1) is true. What kind of proof did you use?
a tree leans at an angle of 8 degrees from the vertical. from a point 7m from th bottom of the tree, the anglr of elevation to the top of the tree is 68 degrees. how tall is the tree?
If C is the curve given by r(t) = (1+4sint)i + (1+5sin^2t)j + (1+3sin^3t)k, (0) is less than or equal to (t) is less than or equal to (pi/2) and F is the radial vector field F(x,y,z,) = xi+yj+zk, compute the work done by F on a particle moving alo..
Fit a second order Newton's interpolating polynomial to estimate log 10 using the data x=8, 9, and 11. Complete the true percentage relative error.
find the point of intersection of each pair of lines
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