Suppose a company wants to introduce a new machine that will produce rate of annual savings (in dollars) given by the function S'(x), where x is the number of years of operation of the machine, while producing a rate of annual costs (in dollars) given by the function C'(x)S'(x) = 86-x², C'(x) = x² + xCa. For how many years will it be profitable to use this new machine?The number of profitable years is

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Answered: Suppose a company wants to introduce a…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 1TI: Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use...

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Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?
Suppose that the production of x items of a new line of products is given by y=200[(x+10)-400(x+40)^(-1)] where x is the no. of weeks the line has been in productions. Find the rate of production
if the rate of growth of the population of deer in a forest is modeled by R(t)= 2000e^(0.23t) deer per year, where t is the number of years from today, by how many deer has the population grown in 3 years?
Suppose P(x) represents the profit on the sale of x DVDs. If P(1000) = 3000 and P'(1000) = −3, what do these values tell you about the profit?
If t(x)=5(9^x), find t′(x).
Calculate G' (-2) to 3 significant figures where G(x) = (4x – 2)1º (-4x² + 3x + 4)12
Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in dollars) given by the function S'(x), where x is the number of years of operation of the machine, while producing a rate of annual costs (in dollars) given by the function C'(x) S'(x) = 92-x², C'(x)=x² + 10 3x. www a. For how many years will it be profitable to use this new machine? The number of profitable years is. b. What are the net total savings during the first year of use of the machine? The net total savings during the first year of use of the machine is $. (Round to the nearest dollar as needed.) c. What are the net total savings over the entire period of use of the machine? The net total savings over the entire period of use of the machine is $. (Round to the nearest dollar as needed.)
Suppose a company's earnings are given by E(x) = P(x) + I(x), where x is the number of years since 2000, P(x) is the total profit from 2000 to year x, and I(x) is the intangible growth (the growth in value of the company's intangible assets such as its good name). If P(x) = 1.5x + 1 and 1(x) = 0.15x + 3 for a certain company, determine the average earnings formula (earnings per year since 2000). Answer How to enter your answer (opens in new window) 2 Points A(x) = Keypad Keyboard Shortcuts
Suppose a company's earnings are given by E(x) = P(x) + I(x), where x is the number of years since 2000, P(x) is the total profit from 2000 to year x, and I(x) is the intangible growth (the growth in value of the company's intangible assets such as its good name). If P(x) = 1.2x + 2 and I(x) = 0.35x + 1 for a certain company, determine the average earnings formula (earnings per year since 2000). Answer Кеурad Keyboard Shortcuts A(x) =
If q(x)=ln(6x^2+2x+2), find q′(x).
If h(x)=2-4/3x given the equation for h-1(x)
A satellite radio station is launching an aggressive advertising campaign in order to increase the number of daily listeners .The station currently has 27,000 daily listeners, and management expects the number of daily listeners S(t),to grow at the rate of S(t)=60^0.5 Listeners per day ,where t is the number of days since the campaign began.How long should the campaign last if the station wants the number of daily listeners to grow to 41,000?

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