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Question: In a ballroom dance class, participants are divided into couples for each drill session. One partner leads and the other follows for three minutes, and then the couple switches roles for the next three minutes.
(a) Only four people show up on time. How many ways are there to pair them up?
(b) If instead six people show up on time, how many ways are there to pair them up?
(c) Assume all m people in the class arrive on time. (There are an even number of people in the class.) How many ways are there to pair them up?
MINIMIZING AVERAGE COST The total monthly cost (in dollars) incurred by Carlota Music in manufacturing x units of its Professional Series guitars is given.
(a) If a sample has a mass of 200 mg find a formula for the mass that remains after t days. (b) Find the mass after 100 days. (c) When will the mass be reduced to 10 mg?
brooklyn corporation manufactures cds. the machine that is used to make these cds is known to produce 6 defective cds.
Write a paragraph describing your interpretation when the slope is positive, zero, and negative. If you were buying a home in this particular city, which slope would be most attractive to you and why?
Specify the legal issues that are relevant to this scenario. Provide specific recommendations (e.g., in the form of policies, training, disciplinary actions) to reduce employee theft.
in the second quarter, sales increased by 15% for region b, and region a had 1.5 times as many sales as region b. what region a sales in the second quarter?
assume the following transactions occurred during the year. the annual accounting period ends on december 31.jan.
a machine that cuts and wraps cheese is supposed to produce packages the contain 10 oz of cheeese. due to variabilty in
Write a differential equation for A, the amount of caffeine in the body t hours after 7am and give the particular solution to this differential equation. How much caffeine is in the person's body at 5pm?
Train keeps material on hand at 20% of the next month's production needs. How much is the material cost for May's output?
FINANCING A HOME Eight years ago, Kim secured a bank loan of $180,000 to help finance the purchase of a house. The mortgage was for a term of 30 yr.
A circular swimming pool has a diameter of 20 m, the sides are 3 m high, and the depth of the water is 2.5 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is 9.8 m/s^2 and the densi..
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