Concept explainers
Advertising The revenue
(in thousands of dollars) that a company receives from the sale of
Express the revenue as a function of the amount spent on advertising.
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CALCULUS+ITS APPLICATIONS
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- The total projected worldwide digital music revenues R, in millions of dollars, for the years 2012 through 2017 can be estimated by the functionR(x) = 28.6x2 + 300x + 4843where x is the number of years after 2012.(a) Find R(0), R(3), and R(5) and explain what each value represents.(b) Find r(x) = R(x - 2).(c) Find r(2), r(5), and r(7) and explain what each value represents.(d) In the model r = r1x2, what does x represent?(e) Would there be an advantage in using the model r when estimating the projected revenues for a given year instead of the model R?arrow_forwardIs f(x)=4x-3 a one-to-one function?arrow_forwardYou and your friends are bungee-jumping from an bridge. Let f (x) = -0.0005 x² +1.7 x +4.65, where f(x) represents the height of the bridge's arch above the bottom of the canyon x feet across the bridge. You are standing on a platform 6 feet above the top of the bridge's arch. Your bungee will only stretch 1087 feet. How close will you come to the ground before the bungee retracts? (round your answer to two one decimal place) ft from the bottom 14.85arrow_forward
- A chocolate factory makes 240 chocolates in 6 minutes. The total number of chocolates produced is a function of the number of minutes that the factory is running. (a)Write an equation that describes the total number of chocolates produced (y), as a function of the number of minutes (x) that the factory is running. (b)Use the equation you wrote in part “a” to find the number of chocolates produced when the factory runs for 3 minutes, 16 minutes, and 20 minutes. (c)Use the equation you wrote in part “a” to find how many minutes are required to produce 1500 chocolates? (d)Plot the points from part “b” on the graph below (e)Is the function linear or nonlinear? Explain how you know.arrow_forwardf(x)=4x-x2. Simplify f(a+h)-f(a)/harrow_forwardFind f( - 1) if f(x) = 2x2 - x.arrow_forward
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