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Concept explainers
Work these exercises. (See Example 5.)
Internet Users The number of Internet users worldwide (in billions) is projected to be approximately
where
How many Internet users are projected for the year 2020? (Give your answer to one decimal place.)
According to this model, what will the rate of growth of Internet users be in 2020? (Give your answer to two decimal places.)
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Chapter 11 Solutions
Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
- Explain why the values of an increasing exponentialfunction will eventually overtake the valuesof anincreasing linear function.arrow_forwardDoes a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.arrow_forwardWith what kind of exponential model would half-life be associated? What role does half-life play in these models?arrow_forward
- Enter the data from Table 2 into a graphing calculator and graph the ranking scatter plot. Determine whetherthe data from the table would likely represent a function that is linear, exponential, or logarithmic.arrow_forwardWhat might a scatterplot of data points look like if it were best described by a logarithmic model?arrow_forwardRachel invests $15,000 at age 25. She hopes the investments will be worth when she turns 40. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal?arrow_forward
- 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 ?arrow_forwardWhat is the y -intercept of the logistic growth model y=c1+aerx ? Show the steps for calculation. What does this point tell us about the population?arrow_forwardThe half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.arrow_forward
- Exponential Growth Is the graph of exponential growth versus time increasing or decreasing?arrow_forwardIs carbon dating? Why does it work? Give an example in which carbon dating would be useful.arrow_forwardYOUR TURN Find the growth function if 5 g grows exponentially to 18 g after 16 hours.arrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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