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A man ordered 3 times a many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.37 per box. Felt-tip cost $3.44 per box. Total cost is $82.75. How many boxes of each type of pen did he buy?
Find the absolute maximum and minimum mpg
Given the following matrices/vectors:linear systems: find x,y such that Ax=b and Ay=a (note x, y with vector character over each)
Prove that the element K=k1+k2+....km is the center of the group ring R[G]. Let K1,....Kr be the conjugacy classes of G and for each Ki let Ki be the element of R[G] that is the sum of the members of Ki.
A baseball manager has decided who his 5 starting hitters are to be, but not the order in which they will bat. How many possibilities are there?
Find the probability
Each individual letter of the word "pfeffernuesse" is placed on a piece of paper, and all 13 pieces of paper are placed in a hat. Three letters are selected at random from the hat. Find the probability of selecting each of the following.
The format for the final answer should be similar to this one: if the problem is tan^(-1) * (2i). answer: (n + 1/2)*pi + (i/2) * ln(3) , (n =0, +-1, +-2,...)
Show that the equation AX = B represents a linear system of two equations in two unknowns Solve the system and substitute into the matrix equation to check your results
Calculating the local maximum and minimum.
Find the volume of the solid generated by revolving the region bounded by the graph of y=x*sqrt(4-x squared), y=0 about the x axis.
Let p(x) = Ax^2 + Bx + C. Prove that for any interval [a,b], the value c guaranteed by the Mean Value Theorem is the midpoint of the interval.
A furniture manufacturer produces sofas, tables, and chairs. The profits per item are, respectively, $70, $120, and $80. The pieces of furniture require the following labor-hours for their manufacture.
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