Reminder Round all answers to two decimal places unless otherwise indicated.
Sales Growth A study of the sales
This is valid for
a. What level of sales will be attained in the long run?
b. What is the largest rate of growth in sales?
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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
- Minority Population In Section 2.1, Exercise 39, we saw that the projected Hispanic population in the United States in millions can be approximated by the function ht=37.791.021t where t=0 corresponds to 2000 and 0t50. Source: U.S. Census Bureau. a. Estimate the Hispanic population in the United States for the year 2015. b. What is the instantaneous rate of change of the Hispanic population in the United States when t=15? Interpret your answer.arrow_forwardLIFE SCIENCE APPLICATIONS Growth of a SubstanceThe rate at which a substance grows is given by R(x)=150e0.2x, where x is the time in days. What is the total accumulated growth during the first 3.5days?arrow_forwardGrowth in Length of Haddock D.S. Raitt found that the length L of haddock in centimeters as a function of the age t in years is given approximately by the formula L=5342.820.82t a. Calculate L(4) and explain what it means. b. Compare the average yearly rate of growth in length from age 5 to age 10 years with the average yearly rate of growth from age 15 to age 20 years. Explain in practical terms what this tells you about the way haddock grow. c. What is the longest haddock you would expect to find anywhere?arrow_forward
- Physician Demand The demand for physicians is expected to increase in the future, as shown in the accompanying table. Source: Association of American Medical Colleges. Year Demand for Physicians in thousands 2006 680.5 2015 758.6 2020 805.8 2025 859.3 a. Plot the data, letting t=0 correspond to 2000. Does fitting an exponential curve to the data seem reasonable? b. Use the data for 2006 and 2015, to find the function of the form f(t)=Cekt that goes through these two points. c. Use your function from part b to predict the demand for physicians in 2020 and 2025. How well do these predictions fit the data? d. If you have graphing calculator or computer program with an exponential regression feature, use it to find an exponential function that approximately fits the data. How does this answer compare with answer to part b?arrow_forwardNuclear Energy Nuclear energy derived from radioactive isotopes can be used to supply power to supply power to space vehicles. The output of the radioactive power supply for a certain satellite is given by the function y=40e0.004t, where y is in watts and t time in days. How much power will be available at the end of 180 days? How much will take for the amount of power to be half of its original strength? Will the power ever be completely gone? Explain.arrow_forwardA 500-mg dose of a drug is administered by rapid injection to a patient. The half-life of the drug is 9 hours. a. Find a model for the amount of drug in the bloodstream t hours after the drug is administered. b. Find the average rate of change of drug in the bloodstream between t=0 and t=2. Repeat for t=9 and t=11.arrow_forward
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