Bottled Water Sales (Compare Exercise 45 in Section 13.3.) The rate of U.S. sales of bottled water for the period 2007–2014 can be approximated by
where t is time in years since the start of 2007. Use a definite
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Finite Mathematics and Applied Calculus (MindTap Course List)
- THe rate of U.S. per capita sales of bottledwater for the period 1993–2003 could be approximated by Q(t) = 0.05t^2 + 0.4t + 9 gallons per year (3 ≤ t ≤ 13) where t is the time in years since 1990.Use the FTC to estimate the total U.S. per capita sales of bottled water from 1995 to 2000. (Round your answer to the nearest gallon.)arrow_forward. Subprime Mortgage Debt during the Housing Bubble (Compare Exercise 104.) During the real estate run-up 2000–2008 the value of subprime (normally classified as risky) mortgage debt outstanding in the United States could be approximated by in 1,350 A(t) = 1 + 4.2(1.7) billion dollars (0arrow_forwardSales of milk at time t years are projected to be at the rate of 15 + 30e-0.5t million gallons per year. Find total sales in the next ten years.arrow_forward. Subprime Mortgage Debt during the Housing Bubble (Compare Exercise 104.) During the real estate run-up 2000–2008 the value of subprime (normally classified as risky) mortgage debt outstanding in the United States could be approximated by in 1,350 A(t) = billion dollars (0arrow_forwardThe capacities at which U.S. nuclear power plants are working are shown in table for various years. Year Percent 1975 56 1980 59 1985 58 1990 70 1995 76 2000 88 2004 89 Let f(t) be the capacity (in percent) at which U.S. nuclear power plants are working at t years since 1970. A model of the situation is f(t)=0.027t^2+0.216t+53.296 Estimate at what capacity U. S. nuclear power plants were working in 2008? (Round to the nearest whole percent) % Predict when U. S. nuclear power plants will be working at full (100%) capacity? (Enter the year this occurs.)arrow_forwardmodel a population p if its rate of growth is proportional to the amount present at time tarrow_forwardFind a function that models the population t years after 2000 (t = 0 for 2000).arrow_forwardthe population P (in millions) in Russian from 1996 to 2004 can be approximated by the model P=152.26e-0.00039t where t=6 represents the year 1996. using the model, and without doing any calculations. answer the following question. would the population of Russian be increasing or decreasing during the given time period? explain.arrow_forward2) An initial investment of $10,000 grows at 11% per year. What function represents the value of the investment after t years? R) - 10,000(1.11) R) - 10,000(1.11) - 10,000(11)' A) – 10,000(0.11)' a. c. b. d.arrow_forwardthe population P (in millions) in Russian from 1996 to 2004 can be approximated by the model P=152.26e-0.00039t where t=6 represents the year 1996. using the model, and without doing any calculations. answer the following question. would the population of Russian be increasing or decreasing during the given time period? explain. given the model continues to be relevant to the population, predict the population of Russia in the year 2020.arrow_forwardDisposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled by D(t) = 10,020e0.02292t where t is the number of years past 2010. In what year is disposable income predicted to be $18 trillion (that is, $18,000 billion)?arrow_forwardDisposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled by D(t) = 10,020e0.02292t where t is the number of years past 2010. In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)? Need Help? Read It 10arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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