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- 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