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Question: Find the stock price on the exercise date for a European put option with strike price $36 and exercise date in three months to produce a profit of $3 if the option is bought for $4.50, financed by a loan at 12% compounded continuously.
How many ways are there to distribute three chocolates (one white, one milk, and one dark) to four classmates, at most one chocolate per classmate?
MAST20018 - Discrete Mathematics and Operations Research State an upper-bound and a lower-bound on the vertex-chromatic number of the graph, and give reasons for your answers - Find an optimal colouring of the graph.
Let A and B be arbitrary n x n matrices whose entries are real numbers. Use basic matrix laws only to expand (A + B)². Explain all steps. Hint: Use the distributive laws.
This is the famous inverse square law. For a falling body, we take M to be the mass of the earth and r to be the distance from the body to the center.
Describe strategies for how industry leaders balance competing values and priorities and avoid failure.
consider repair cost for car a and car b. the mean repair cost for each is 500 per year. which statistics about repair
A farmer wants to enclose a rectangular grazing area using an existing fence on one side and 244 feet of new fencing on three sides. If the length of the rectangle is supposed to be twice as long as it is wide, what are the dimensions of the enclo..
In 10 tosses of a fair coin, would you be surprised to see exactly 6 heads? In 1000 tosses of a fair coin, would you be surprised to see exactly 600 heads? Of the two scenarios, which is the more surprising and why?
We apply Lanchester's model to the Battle of Trafalgar (1805), when a fleet of 40 British ships expected to face a combined French and Spanish fleet of 46 ship.
A warehouse selling cement has to decide how often and in what quantities to reorder. It is cheaper, on average, to place large orders.
On October 7, 2010, the Wall Street Journal8 reported that Android cell phone users had increased to 10.9 million by the end of August 2010 from 866,000.
A faucet is filling a hemispherical basin of diameter 60 cm with water at a rate of 2 L/ min. Find the rate at which the water is rising in the basin when it is half full. [Use the following facts: 1 L is 1000 cm3.
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