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The local supermarket buys lettuce each day to ensure really fresh produce. Each morning any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week the supermarket can buy fresh lettuce for $4.00 a box. The lettuce is sold for $10.00 a box and the dealer that sells old lettuce is willing to pay $1.50 a box. Past history says that tomorrow's demand for lettuce averages 250 boxes with a standard deviation of 30 boxes. How many boxes of lettuce should the supermarket purchase tomorrow?
evaluate the multiple integral under given condition using spherical coordinate.let t be the three dimensional region
At a certain rate of simple interest $1000 will accumulate to $1110 after a certain period of time. Find the accumulated value of $500 at a rate of simple interest three fourths as great over twice as long a period of time.
For the function: f(x)=(x^2/4)+e^(-x^2), sketch a graph of the function. Calculate the first and second derivatives, and use these answers to approximate the locations of the local maximum, minima, and the inflection points.
a high sxhool graduating class is made up of 462 students. There are 222 more girls than boys. How many boys are in the class?
The faster ship makes the voyage in 50 hr. less time than the slower one. Find the speeds of the two ships.
This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B.
Sam has 100 feet of fence and wants to use it to provide a circular play area for his dog. What will be the area of the play area?
A box with a square base has length plus girth of 108 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2000 in?
What are the vertical and horizontal forces of a 1200 N force directed to the right and upward at an angle of 43 degrees with the horizontal?
What is the two diagonals of the generic rectangle mean? What is the different without the two diagonals?
Let u = [2,1,1]^T, v = [1,3,2]^T (i.e. they are column vectors). Caclulate v^Tu and uv^T. Show that u is an eigenvector of the matrix uv^T and calculate its eigenvalue.
A bacteria population grows at a rate proportional to its size. The initial count was 400 and 1600 after 1 hour. In how many minutes does the population double.
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