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In how many ways can n people be seated upon any number of circular tables. Please provide the explanation or recursion relation.
A spherical balloon was losing air at rate of 5 in^3/sec. At what rate is the radius of the balloon decreasing when the radius equals 5 inches?
Compute the annual amount that Paul can spend while on his world tour if he will have no money left in the bank when he dies? Suppose Paul has a remaining life of 22 years and earns 10 percent
Compute the sum-of-products expansions of the boolean function f(x y ) that equals 1 if and only if either x = 0, and y=1, or x=1 and y=0.
Sam has a loan that needs a single payment of $4,000 at the end of three years. The loan's interst rate is 6%, compounded semiannually. How much did Sam borrow?
Use the definition of convergence of a sequence to prove {(3n^2 + n)/(n^2 + 8)} converges to 3.
Edna has $20,000 of ordinary income. In addition, she had the $1,500 short-term capital gain upon one stock and $4,900 long-term capital loss on another. Determine her net income before the deducti
Michael and Becky have been living in house since their marriage but they're planning now to move. If Michael and Becky sell their home on December 15, 2012 for $500,000, how much taxable gain shoul
Marvin sold his sister, Sue, some stock for the $20,000 that he had bought two years ago for $25,000. Nine months later, Sue sold the stock for $27,000. How much gain does Sue recognize upon the sa
The ages of workers in Illuminex plant are approximately normally distributed with a mean of 47 years and a standard deviation of 8 years. A worker is stopped at random and asked to fill out a ques
A chimecal X is produced from reaction involving chemicals A and B. The rate of production of X varies directly as the product of the instantaneous amounts of A and B present. The formation of X nee
Compression tests of concrete point out that concrete fails when axial compressive strain is 1200 um/m. Find out the maximum change in length that a 200 mm diameter by 400 mm long concrete test spe
One leg of the right triangle is 50. A line parallel to other leg and at the distance 20 from that leg cuts off right trapezoid of area 5,20. Determine the lengths of the bases of the trapezoid. So
Both Lavar and Malcavar have small troops of the volunteer soldiers at their command. Together the 2 have more than 10 but fewer than thirty soldiers. One day, one of soldiers, Colin, decided to lea
At same banquet, after shaking hands, each of fifteen knights sat at the round table and clinked his mug with the Knights to his immediate left and immediate right. How many times did mugs clink?
Fifteen knights were invited to the sumptuous meal at castle in Belmar. Before sitting down, each of fifteen knights shook hands with each of other knights. How many handshakes occurred?
Every day the cart is sent from village to meet barge at river dock. One day the barge arrived early, and cargo normally picked up by the cart was immediately sent toward the village by horse.
Four cave dwarves, each of whom works at same rate, were to complete the mining job according to schedule. But, because of an argument, two of the four quit after working one day.
The dragons Argothel and Bargothel like to get together for fiery conversations. They live some distance apart, each in his own cave. One day Argothel left home to visit Bargothel at exactly the sam
Set up the initial simplex tableau (matrix) and cirlce the first pivot.
Make a chart to organize info. Write down the objective funtion. Write down all the contraints to the problem
Determine a description, asking price, and real estate taxes of house for sale, and decide on purchase price you would be willing to pay (supposing you've the means). Determine a current market int
Assume we have a relation R stated on a nonempty set A. How can it be represented as a directed graph? As a zero-one matrix? Please help explain.
Assume we have a relation on set A, i.e. A x A, where |A| = n; n a positive integer. How can we count the number of relations on set A which are reflexive, symmetric, transitive and anti - symmetric
One-third, one-fourth, one-fifth, and one-seventh of human population of North Pymm, which has fewer than five hundred human inhabitants, are all whole numbers, and their sum is exactly the human p