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A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (Give your answers correct to two decimal places.)
How much wire should be used for the circle in order to maximize the total area?
The actual demand of a product in period 1 through 3 are 285, 229, 309 units, respectively. Find the forecast of demand in period 4 using the exponential smoothing model with a smoothing constant of 0.41. The forecast demand for period 1 was 302 u..
the length of a rectangle is two yards longer than triple the width the perimeter is 484 yards. what are the dimensions?
A conical water tank with vertex down has a radius of 10 feet at the top and is 29 feet high. If water flows into the tank at a rate of 20 {rm ft}^3{rm /min}, how fast is the depth of the water increasing when the water is 13 feet deep?
If there 5 sections of Discrete Math with a total enrollment of 31 students, what is the smallest possible number of students in the section with the largest enrollment?
Why a taxpayer whose income tax rate is 27.8% would hope that the rate could be truncated to a whole number when calculating the amount of tax owed on the tax form.
Use the improved Euler method with h=0.05 to find approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3, and 0.4 y'=3+t-y, y(0)=1.
A production process contains a machine that deteriorates rapidly in both quantity and output under heavy usage, so it is inspected at the end of each day. Immediately after inspection the condition of the machine is noted and classified into one ..
Suppose the spot and three-month forward rates for the yen are ¥79.85 and ¥79.16, respectively. What would you estimate is the difference between the annual inflation rates of the United States and Japan? (Negative amount should be indicated by a ..
When the ticket price is 7 dollars the average attendance is 45000. When the price is dropped to 5 dollars then the average attendance rises to 50000. Find the demand function and how should the ticket price be set to maximize revenue?
Find an equation for the sphere centered at (2, -4, -1) that is tangent to the y-z coordinate plane.
Your company plans to transport 20 horses to a racetrack in Denver. It takes 12 hours to drive from Phoenix to Denver. You have to stop and feed the horses every 2 hours.
Joe has a ring weighing 20 grams made of an alloy of 20 % silver and the rest gold. He decides to melt down the rings and add enough silver to reduce the gold content to 73 %. How many grams of silver should he add?
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