For selected years from 2001 to 2015,the national health care expenditures H, in billions of dollars, can be modeled by H = 1403e^{0.0712t}

where t is the number of years past 2000,in what year do the national health care expenditures reach $1.6 trillion

1600 =1403 * exp( 0.0712t)

1600/1403 = exp(0.0712t)

0.0712t = ln (1600/1403) =0.131391

t = 0.131391/0.0712 = 1.84 5377 = 1.8 years after 2000

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