A manufacturer has determined that t weeks after the end of an advertising campaign, the rate change of sales (in100, 000 units per week) is given by the function– 0.125tf(t) = teAt the end of the advertising campaign, sales were 105, 000 units per week. Find the function that describes thetotal number of sales t weeks after an advertising campaign.F(t) =PreviewTIPEnter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/cBe sure your variables match those in the questionGet Help:VideoeBook

A manufacturer has determined that t weeks after the end of an advertising campaign, the rate of…

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Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The amount of water in a tub increases at a constant rate. After 5 minutes of filling, the amount of water in the tub is 18.75 gallons. After 14.2 minutes of filling, the amount of water in the tub is 33.93 gallons. A) Determine the function f that models the amount of water in the tub with respect to the number of minutes that tub has been filling. Define any variables used. B) Evaluate f (11.2) and explain the meaning in the context of the problem. C) Determine the vertical intercept and explain the meaning in the context of the problem. D) Determine the horizontal intercept and explain the meaning in the context of the problem. E) Assuming the tub has a capacity of 40 gallons, determine the practical domain and range of the function. f) Determine the formula for the inverse function f ^-1. g) Evaluate f^-1 (11.2) and explain the meaning in the context of the problem.
A 12-inch tall sunflower is planted in a garden and the height of the sunflower increases by 8% per day. What is the 1-day percent change in the height of the sunflower? At any given moment, the height of the sunflower is what percent of its height 1 day prior? What is the 1-day growth factor for the height of the sunflower? Write a function f(t) that determines the height of the sunflower (in inches) in terms of the number of days t since it was planted. What does f(4) mean in the context of this problem? If the sunflower is 23 inches tall, then how many days has the sunflower been growing for?
The function V(t) = 3500t +20000, where V is value and t is time in years, can be used to find the value of a large copy machine during the first 5 years of use. a. What is the value of the copier after 3 years and 6 months? After 3 years and 6 months, the copier is worth $ b. What is the salvage value of the copier if it is replaced after 5 years? After 5 years, the salvage value of the copier is $ c. State the domain of this function. d. Sketch the graph of this function. 20000 18000- 16000- 14000- 12000 10000- 8000 6000 4000
The value of a family car decreases $600 per year for the first 5 years; after that it depreciates $900 per year. Find the resale value function V(x), where x is the number of years the tamily has owned the car whose original price was $20,000.
The function, f. gives the number of copies a book has sold w weeks after it was published. The equation f (w) = 500 2" defines this function. %3D Select all domains for which the average rate of change could be a good measure for the number of books sold. O0sws 2 OOsws7 O 5 s ws 7 O5 sws 10 O O sws 10

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