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A certain country taxes the first $16,000 of an individual's income at a rate of 15%, and all income over $16,000 is taxed at 20%. Find a piecewise-defined function T that specifies the total tax on an income of x dollars.
The circumference of a sphere was measured to be 77 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area.
Write a system of inequalities for the shaded region described. The shaded region is a rectangle with vertices at (2,1),(2,4),(6,4),and (6,1).
A bag contains 4 red, 3 white, and 5 blue marbles. How many samples of 4 marbles can be drawn in which two marbles are red and 2 marbles are blue?
Determine whether the binary relation R on Z, where aRb means a^2 = b^2, is reflexive, symmetric, antisymmetric, and/or transitive.
Verifying some important results over real valued functions - real-valued functions
A ski chalet roof is isosceles triangle and has a vertical angle of 36 degrees. Width of base is 14 m. What is the slant height of roof?
Marty has a piggy bank that contains $2.25. The piggy bank contains only quarters and dimes. There are twice as many dimes as quarters in the bank. How many dimes are in the piggy bank?
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..
Suppose C(x) = x^3-6X^2+15X where x represents thousands of units. Is there a production level that minimizes average cost? If so what it it?
Employees of a local university have been classified according to gender and job type. The following table provides data about the employees.
A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between home plate and second base?
trapezoid has an area of 80.75 sq. in., and its two bases are 7 and 12 inches long. find the height of the trapezoid.
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