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bill earns (m) dollars per month and ann earns (n)dollars per month. how many dollars do both person earn in 1 yr?
1. 12mn2. 12m+n3. 12(m+n)4. 12n+m5. 12n-m
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 box with a square base has length plus girth of 114 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2000 in3?
If refinishing your basement at a cost of $40,105 would add $22,056 to the resale value of your home, what percent of your cost is recouped? (Round to the nearest percent.)
Solve each of the following equations for the unknown variable.
You have scores of 99, 93 and 90 on the first 3 tests. You must make a total of 360 in order to get an A. What scores on the last test will give you an A?
as you are driving your car on the freeway, your tires are rotating at a rate of 920 revolutions per minute. The diameter of each tire is 24 inches. What is the total feet traveled per minute?
Assuming a company is selling guitar at its list price of 1,899.90, with a cash discount of 3/10, n/30 sales tax is 7% and shipping is 30.40. What is the final price if cash discount period was met?
What is the probability that the purity of a solution with a catalyst level of 30 is smaller than the purity of a solution with a catalyst level of 27.5?
Find the mass and center of mass of a wire in the shape of the helix x = t, y = cos(t), z = sin(t), 0 ≤ t ≤ 2π, if the density at any point is equal to the square of the distance from the o.
A one-story building is 190ft by 31ft. if a square patio with sides 20ft occupies the center of the building, how much area remains for offices
Solving problems on probability.
an open-top box is to be made by cutting small congruent squares from corners of a 30 x 30 sheet and bending it up to the sides. how large should the squares cut from the corners to make the box hold as much as possible?
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