The U.S. total annual health care costs (actual and projected, in billions of dollars) for selected years are given in the table. Year Cost Year Cost 2003 1778 2015 3244 2006 2167 2018 3785 2009 2506 2021 4543 2817 2024 5425 2012 These costs can be modeled by C(t) = 0.32t³ - 7.7t² + 170t + 1300 where C(t) is in billions of dollars per year and t is the number of years past 2000. Use a definite integral and this model to find the total U.S. health care costs (in billions of dollars) over the period 2004-2014. (Round your answer to the nearest integer.) $ billion

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The U.S. total annual health care costs (actual and projected, in billions of dollars) for selected years are given in the table.
Year Cost Year Cost
2003 1778 2015
3244
2006 2167 2018 3785
2009 2506 2021 4543
2012 2817 2024 5425
These costs can be modeled by
C(t) = 0.32t³ - 7.7t² + 170t + 1300
where C(t) is in billions of dollars per year and t is the number of years past 2000. Use a definite integral and this model to find the total U.S. health care costs (in
billions of dollars) over the period 2004-2014. (Round your answer to the nearest integer.)
$
billion
Transcribed Image Text:The U.S. total annual health care costs (actual and projected, in billions of dollars) for selected years are given in the table. Year Cost Year Cost 2003 1778 2015 3244 2006 2167 2018 3785 2009 2506 2021 4543 2012 2817 2024 5425 These costs can be modeled by C(t) = 0.32t³ - 7.7t² + 170t + 1300 where C(t) is in billions of dollars per year and t is the number of years past 2000. Use a definite integral and this model to find the total U.S. health care costs (in billions of dollars) over the period 2004-2014. (Round your answer to the nearest integer.) $ billion
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