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Question: Consider the extraction of oil from a well. Let x(t) be the rate of extraction in barrels per day and p(t) the price in dollars per barrel at time t. Then R(t) = p(t)x(t) is the revenue in dollars per day. Find an expression for R(t), and give it an economic interpretation in the case when p(t) and x(t) are both increasing. (Hint: R(t) increases for two reasons)
The opening of the cannon pictured at the left is 16 feet above the ground. The daredevil, who is shot out of the cannon, reaches a maximum height of 55 feet after about 1.56 seconds and hits a net that is 9.5 feet off the ground after 3.25 second..
At 1 P.M., ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 5 P.M.? (Round your answer to one decimal place.)
The equation of a circle is x2 + 4x + y2 + 2y = 0. Write the equation in graphing form. Show your work. Determine the center and radius of the circle.
Interpret the confidence interval in a single sentence
One hundred stones are placed on the ground 3 feet apart, the first being 3 feet from a basket. If the basket and all of the stones are in a straight line, how far does a person travel who starts from the basket and brings the stones to it one by ..
Terrorism may be defined as the "use of violence against an existing political order for political purposes." Many legal professionals argue whether or not the political state is responsible for damages it causes.
Exactly one of the three contestants will win a game show. The probability that Terry wins 0.25 and the probability that Chris wins is 0.65. What is the probability that Toni wins?
An investment of $6000 is made at annual simple interest rate of 14%. How much additional money is also invested at an annual simple interest rate of 10% if the total is 12% of the total investment.
A company car that has a seating capacity of six is to be used by six employees who have formed a car pool. If only three of these employees can drive, how many possible seating arrangements are there for the group?
According to the National Center for Health Statistics, in 1990, 28 %of babies in the United States were born to parents who were not married. Throughout the 1990s, this increased by approximately 0.6 %per year
Ron the realtor is offered a job directly out of real-estate school. he has a selection as to which way he will receive his salary the first year.
What are some of the disadvantages that can result when companies use channels of distribution to market their products overseas?
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