# Health- The amount spent per person on health care in the United State.docx

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Health: The amount spent per person on health care in the United States is approximated by H(t) = h0* 1.065t, Where t = 0 corresponds to the year 2000 and H(t) is in thousands of dollars.* (a) The amount spent per person in 2000 was \$ 4624. Find h0. (b) To the nearest dollar, estimate the per- person costs in 2008, 2010, and 2012. Solution (a) H(t) = \$4624 in 2000 For year 2000 t=1, or, 4624 = h o *1.065*1 or, h 0 = 4624/1.065 = \$ 4341.78 = \$ 4342 (b) For 2008 t = 9 and for 2010, t = 11 Thus for 2008: H(9) = 4342*1.065*9 = \$ 41,616 H(11) = 4321*1.065*11 = \$ 50,864 .

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### Health- The amount spent per person on health care in the United State.docx

• 1. Health: The amount spent per person on health care in the United States is approximated by H(t) = h0* 1.065t, Where t = 0 corresponds to the year 2000 and H(t) is in thousands of dollars.* (a) The amount spent per person in 2000 was \$ 4624. Find h0. (b) To the nearest dollar, estimate the per- person costs in 2008, 2010, and 2012. Solution (a) H(t) = \$4624 in 2000 For year 2000 t=1, or, 4624 = h o *1.065*1 or, h 0 = 4624/1.065 = \$ 4341.78 = \$ 4342 (b) For 2008 t = 9 and for 2010, t = 11 Thus for 2008: H(9) = 4342*1.065*9 = \$ 41,616 H(11) = 4321*1.065*11 = \$ 50,864
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