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Lee just purchased a new house costing $125,000. Houses in the area are appreciating at the rate of 3.50% per year. If this rate holds steady for 5 years, what will the house be worth assuming that this 3.50% rate is compounded annually?
A dam with a vertical face has a gate that is in the shape of an isosceles triangle 3 ft wide at the top and 2 ft high. The upper edge of the gate is 10 ft below surface of the water. Find the total force on the gate due to water pressure. Water w..
After winning the championships, all Detroit Pistons teammates exchanged "high-fives."Altogether there were 66 high-fives. How many players were there?
In Mark Salas, the 1991 Detroit Tigers had probably the only palindromic player in major league baseball (certainly, the only palindromic catcher).
A trapezoid with bases 2 m and 6 m is partially submerged vertically in water so that the top is 2 m above the surface and the bottom is 2 m below the surface.Express the hydrostatic force against one side of the plate as an integral and evaluate it...
Find all points where the tangent plane to the surface is parallel to the plane z = 3x + y. Find the symmetric equations for the normal line to the surface at the point (1, 1, 2).
a new process for producing synthetic diamonds can be operated at a profitable level only if the average weight of the
Find the length of one of the congruent sides to the nearest hundredth of a cm.
Find three consecutive integers whose sum of their squares is 194. Write an equation, and solve the equation.
From the top of a 300 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse? Round your answer to the nearest foot.
Unless otherwise specified, assume that all matrices in these exercises are n X n. Determine which of the matrices in are invertible. Use as few calculations as possible. Justify your answers.
Independent measures research study.
Find the fist derivertive and the second derivertive. Use the increasing decreasing test to identify intervals on which f(x) is increasing or decreasing.
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