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jaline can purchase tile at a store for $.99 cents per tile and rent a tile saw for $24 dollars. At another store she can borrow a tile saw for free if she buys the tile at $1.49 per tile.How many tiles must she buy for the cost be the same at both stores?
What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?
A 17.28 foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate of 6 feet per second, how fast is the area A of the triangle formed by the wall, the ground, and the ladder changing..
the region in the first quadrant enclosed between the graph of y = ax -x2 and the x-axis generates the same volume whether it is revolved about the x-axis or the y-axis. use analytic methods to find the value of a.
Probabilities of Selecting Multiples of Fixed Numbers. Let N = 1000 and let S = {1, 2, ... , N}. Let D_i = {m belongs to S: i|m} for integers i between 1 and N.
Farmer Brown, distant mathematical cousin of Mr. Brown, wants to enclose a grazing area along a river bank and build an opera hall. He has 500m of fencing available and none can be used along the riverbank. What are the dimensions that give the la..
A volcano fills the volume between the graphs z=0 and z=1/(x^2+y^2)^23 , and outside the cylinder x^2+y^2=1. Find the volume of this volcano.
fixed axis has an angular position given by theta = 3.0 - 2.0t3, where theta is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?
We can use the Pythagorean theorem to solve problems that involve right triangles. Provide an example of a day-to-day situation that involves right triangles and the use of the theorem.
Corporate bonds issued by Johnson Corporation currently yield 8%. Municipal bonds of equal risk currently yield 6%. At what tax rate would an investor be indifferent between these two bonds?
Barbara invested $150 at a certain rate of interest compounded anually for two years. If the accumulated value at the end of two years is $175, find the rate of interest.
Write a plane equation for plane passing through P (1,2,3) and perpendicular to n = . Write a plane equation for plane passing through P(1, 2, 3), Q(-1,0,1) and R(0,0,1).
a radio transmission tower is 200 feet tall. How long should a guy wire be if it is to be attached 14 feet from the top and is to make an angle of 23 degrees with the ground?
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