Movie theater and sit down
There are two girls and two boys that walk into a movie theater and sit down. What is the probability that two girls are next to each other.
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A piece of equipment will be purchased for $50,000. It has life of 15 years. If has estimated scrap value of $5000. Determine the capitalized cost of this equipment assuming 10% annual interest rate with annual compounding?
Funds are deposited in an account at 12% annual interest rate compounded semiannually. How much must be deposited in the account to have $10,000 in 10 years?
Compute the higher degree derivatives till it becomes zero: f(x) = 2x^6 + 5x^4 - 2x^3 + x^2 - 10 f(x) = 8x^4 - 4x^3 + 5x^2 + x + 2.
Let S be a finite set with |S| = N and let c1, c2, c3, c4 be four conditions, each of which may be satisfied by one or more of the elements of S. Prove that N(c2c3c4) = N(c1c2c3c4) + N(c1c2c3c4).
Dev and Jay are betting upon cards. Throughout Round 1 Dev wins and beats Jay. During round 2 Dev wins and beats Jay. The two scores are combined from both rounds and it is found that Jay beat Dev. How is this possible?
The critical values of f(x) = 4x3 - 48x + 24 are x = -2 and x = 2. Employ the first derivative test to find out which of the critical values correspond to a local minimum.
How many copies of game should the company produce throughout each production run in order to minimize its total storage and set-up costs?
A 60 room hotel is filled to capacity every night at rate of $40 per room. The management wants to find out if a rate raise would increase their profit. They're not interested in rate decrease. Assume management finds out that for each $2 raise in
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