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(a) A cruise line offers a trip for $2000 per passenger. If at least 100 passengers sign up, the price is reduced for all the passengers by $10 for every additional passenger (beyond 100) who goes on the trip. The boat can accommodate 250 passengers. What number of passengers maximizes the cruise line's total revenue?
(b) The cost to the cruise line for n passengers is 80,000+400n. What is the maximum profit that the cruise line can make on one trip?
How many trees will the forest have at the end of one year, after accounting for both natural replenishment and the effects of harvesting?
Will this use compound interest? If not, how can I word the problem where the interest will compound?
If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.)
Two continuous random variables X and Y have a joint probability distribution f ( x, y ) = A ( x 2 + y 2 ) ,
The equation for the mid-span deflection of a simply supported beam carring a uniformly distributed load can be determined from. Taking care with units, use this transposed equation to find the maximum length of beam that can be used if the midspan..
Cozort's Produce pays $0.35 per pound for 500 pounds of apples. On average, 8% of the apples will spoil before they sell.
The velocity of the current in a river is c? = 0.6i? + 0.8j? km/hr. A boat moves relative to the water with velocity v? = 8i? km/hr.
What amount of charge must be placed on each of its plates to make the potential difference between its plates equal to 60.0 V?
At time t = 0, the police car is 40 km north and the truckis 30 km east of Sioux Falls. Calculate the rate at which the distance between the vehicles is increasing at t = 10 min.
A town with a population of 4000 people has an annual growth rate of 3.2%. What will its population be after 14 years?
There have been major terrorist attacks in three of the countries where your mobile phone company's workforce is located. This has caused major negative currency fluctuations which could have a devastating impact on all of your business operations..
1) Find the solution(s): 3/3x-1-2= 25/9x2+12x-5 2) Solve and graph the inequality: x-2/x+6≥3
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