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to 150g of a 5% sugar solution in water,25g of pure sugar was added? what was the percent of sugar in the solution?
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.
Use the dual simplex method to solve the following LP:
If the company's revenue from the sale of the shoes in 2006 was $3.0 million, what was the approximate revenue from the sale of the shoes in 2005?
A ranger in tower A spots a fire at a direction of 358 degrees. A ranger in tower B, located 40 mi at a direction of 58 degrees from tower A, spots the fire at a direction of 291 degrees. How far from tower A is the fire? How far from tower B?
Determine the steady-state probabilities for this transition matrix algebraically and explain what they mean.
The turtle never stopped for a break, but his pace was onle 1 km/hr. How long will the rabbit run before it catches the turtle?
Assume 450,000 people line up on the streets to see the Macy's Thanksgiving Parade in 2010. If attendance is expected to increase 30%, what will be the number of people lined up on the street to see the 2011 parade?
A square sheet of cardboard 24 inches on a side is made into a box by cutting squares of equal size from each corner of the sheet and folding the projecting flaps into an open-top box
Consider the function f(x,y,z)= e^xy cos(x+z). What is the directional derivative for f at the point P(0, -pie/6, pie/3) in the direction u parallel to i - j + 2k
Find the surface integral (double integral over S) E dot dS, where S is the cylinder, x^2 + y^2 = 4, z is greater than or equal to 2 and less than or equal to 5, and the vector field F is F(x, y, z) = (0, 0, z^2)
The integers 1 through 25 are arranged in a 5 x 5 array (we use each number from 1 to 25 exactly once). All that matters is which numbers are in each column and how they are arranged in the columns.
A Norman window consists of a rectangle surmounted by a semicircle. What shape gives the most light for a given perimeter?
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