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Department Store Sales A department store wants to sell 11 purses that cost the store $40 each and 32 purses that cost the store $10 each. If all purses are wrapped in 43 identical boxes and if each customer picks a box randomly, find
(a) Each customer's expectation.
(b) The department store's expected profit if it charges $15 for each box.
Find the solution for the following DE with the given initial values y′′ + 2y′ + 10y = 5x with y(0) = -1/10, y′(0) = 7/2. All working must be shown. If it is not clear to the marker what you have done at each step then you may lose marks.
A rectangular field has an area of exactly 1 square mile. if the field has a length of 250 yards and 3 inches, what is the width of the field? Give your answer in feet and inches, and round to the nearest inch. What is the perimeter of this field?
Use the parallel-axis theorem equation given above. Where D is the distance from the center-of-mass axis to the parallel axis and M is the total mass of the object.]
Do the same thing for 10 different 30-digit odd integers, 10 different 40-digit odd integers, and so on, continuing as long as possible.
Find a nonzero vector PQ with initial point P(-1,3,-5) such that u is opposite in direction to v = (6,7,-3). In other words, find the coordinates of Q.
explain why taking a series of markdowns is not the same as taking the total sum of the same markdowns. for example a markdown of 25% followed by a 30% is not the same as a 55% total markdown.
Rocking technologies (RT) have just developed a solar panel capable of generating 200% more electricity than any solar panel currently on the market. As a result, RT is expected to experience a 15% annual growth rate for the next 5 years. By th..
How much energy is needed to pump all the water to the top of the tank? How much energy is needed to pump all the water to a point 3 m above the top of the tank?
Suppose that you want to enclose a rectangular area at the back of your house using the house as one side of the enclosure and fencing on the other three sides. If you have a total of 320 feet of fencing to use for this task, what is the maximum a..
A sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below.
An army cadet is involved in a compass exercise. He leaves point O and walks 50m due west to point A. He then walks 80m due north to point B and finally 60m on a bearing of 320 deg to point C.
A Norman window has the shape of a square with a semicircle mounted on it. Find the width of the window if the total area of the square and the semicircle is to be 200ft.
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