Concept explainers
GDP Use the following information to answer Exercises 47–50. The gross domestic product (GDP; in tens of trillions of U.S. dollars) for China and the United States can be approximated as follows:
where
If the trend continues, what is the first full year in which China’s GDP surpasses $25 trillion?
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Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
- In Exercises 1–6, solve for x.arrow_forwardSection 2.4: Chain Rule In Exercises 9–34, find the derivative of the function.arrow_forwardWorld Military Expenditure The following chart shows total military and arms trade expenditure from 2011–2020 (t = 1 represents 2011). †A bar graph titled "World military expenditure" has a horizontal t-axis labeled "Year since 2010" and a vertical axis labeled "$ (billions)". The bar graph has 10 bars. Each bar is associated with a label and an approximate value as listed below. 1: 1,800 billion dollars 2: 1,775 billion dollars 3: 1,750 billion dollars 4: 1,730 billion dollars 5: 1,760 billion dollars 6: 1,760 billion dollars 7: 1,850 billion dollars 8: 1,900 billion dollars 9: 1,950 billion dollars 10: 1,980 billion dollars (a) If you want to model the expenditure figures with a function of the form f(t) = at2 + bt + c, would you expect the coefficient a to be positive or negative? Why? HINT [See "Features of a Parabola" in this section.] We would expect the coefficient to be positive because the curve is concave up. We would expect the coefficient to be negative because the…arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage