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A baseball team plays in a stadium that holds 60,000 spectators. With the ticket price at $10, the average attendance at recent games has been 33,000. A market survey indicates that for every dollar the ticket price is lowered, attendance increases by 3000.
(a) Find a function that models the revenue in terms of ticket price. (Let x be the ticket price and R(x) be the revenue.)
(b) Find the price that maximizes revenue from ticket sales.
Let W be the space spanned by f = sinx and g = cosx. Show that for any value of theta, f, = sin(x + theta) and g_1 = cos (x + theta) vectors in W.
The formula b=26a is used in New England to estimate the minimum furnace output,b,in BTUS. for a modern house with a square feet of flooring.
The world's tallest ferris wheel is in osaka, japan, and stands 369 feet tall. its wheel has a diameter of 328 feet. find the circumference of the ferris wheel.
The formula d = sqrt15h, where h equals the height, in feet, of the viewer's eyes, estimates the distance d, in miles, to the horizon from the viewer. Find the distance to the horizon for a person who eyes are 6 ft above the ground.
How much will he have to deposit into the account each month in order to reach this target after 25 years? (Give your answer, in dollars, correct to the nearest cent.)
Create an Euler diagram to determine whether the syllogism is valid or invalid: Some nurses are patient.
Find the validity of argument form.
A man rows a boat 350 feet upstream against a constant current in 10 minutes. He then rows 275 feet downstream (with the same current) in 5 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
Test to see if population means are the same or different
Suppose the farmer buys insurance for $3000 that pays him $20,000 in the event of a severe storm that destroys much of the crop, and pays nothing otherwise. Find the probability distribution of his profit . Find the mean, and summarize the effect ..
part of a $2900 investment earned interest at a rate of 6%, and the rest earned interest at a rate of 2%. The combined interest at the end of the year was $160. How much was invested at each rate?
A large research hospital has accumulated statistical data on its patients for an extended period. Researchers have determined that patients who are smokers have an 18% chance of contracting a serous illness such as heart disease
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