In a study conducted in 2004, it was found that the share of online advertisement worldwide, as a percentage of the total ad market, was expected to grow at the rate of R(t) = -0.021t2 + 0.3004t + 0.1 Osts6 percent per year at time t (in years), with t = 0 corresponding to the beginning of 2000. The online ad market at the beginning of 2000 was 1.2% of the total ad market. (a) What is the projected online ad market share at any time t? S(t) = (b) What is the projected online ad market share (as a percentage) at the beginning of 2004? (Round your answer to two decimal places.)

In a study conducted in 2004, it was found that the share of online advertisement worldwide, as a percentage of the total ad market, was expected to grow at the rate of R(t) = -0.021t2 + 0.3004t + 0.1 Osts6 percent per year at time t (in years), with t = 0 corresponding to the beginning of 2000. The online ad market at the beginning of 2000 was 1.2% of the total ad market. (a) What is the projected online ad market share at any time t? S(t) = (b) What is the projected online ad market share (as a percentage) at the beginning of 2004? (Round your answer to two decimal places.)

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...

See similar textbooks

Similar questions

What is the y -intercept on the graph of the logistic model given in the previous exercise?
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
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 an investment account is opened with aninitial deposit of 10,500 earning 6.25 interest,compounded continuously. How much will theaccount be warm after 25 years?
Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds. Growth has slowed to a doubling time of approximately three years. Find the new function that takes that longer doubling time into account.
Jerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Is that a reasonable expectation?
Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012, therewere 23,900 fox counted in the area. What is the foxpopulation predicted to be in the year 2020 ?