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A rectangular garden has dimensions of 15 feet by 10 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 186 square feet?
Determine the producers' surplus if the wholesale market price is set at $12/unit. (Round your answer to two decimal places.)
maddie owns a hog farm.she sends hogs to market in a ratio of 3 to 10 on mondays and tuedays.if maddie sent 333 hogs to the market on monday, how many did she send to market on tuesdays.
Assume at the begining of the year you purchase an investment for 5,900 that pays 80 annual income. Also assume the investments value has increased to 6,500 by the end of the year.
find the probability that the airline will have a seat for each person who has reserved one and who shows up
Please evaluate the following integral using the formula for integration by parts,
Express the retailer's monthly profit from the sale of the cameras as a function of the selling price. Estimate the optimal selling price.
How much money should be deposited in the bank at 2% interest compounded annually in order to be able to supply the money for the scholarship at the end of each year?
Seven women and nine men are on the faculty in the mathematics department at a school. How many ways are there to select a committee of ?ve members of the department if at least one woman must be on the committee
Let f:R->R be a function that satisfies f(x+y) = f(x)+f(y) for all x,y in R. Suppose that f is continuous on R and that f(1)=k. Prove that f(x)=kx for all x in R.
Each square n*n region of an image yields a vector of length n^2 such that the components of the vector are the grey levels of the pixels in the square.
If you are fencing in an 800 sq ft rectangular garden and one side cost $6 per foot and the other 3 cost $2 per foot, find the dimensions that minimize cost.
How far did the messenger travel by land and how far by water?
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