Question

1.The U.S. population is approximated by the

function

P(t) = 616.5/1 + 4.02e^−0.5t

where P(t) is measured in millions of people and t is measured in 30-year intervals, with t = 0 corresponding to 1930. What is the expected population of the United States in 2050 (t = 4)? (Round your answer to the nearest integer.)

2.The number of citizens aged 45-64 years is approximated by

P(t) = 171/(1 + 3.219e^-0.0347t )    

where P(t) is measured in millions and t is measured in years, with t = 0 corresponding to the beginning of 1990. People belonging to this age group are the targets of insurance companies that want to sell them annuities. What is the expected population of citizens aged 45-64 years in 2003? (Round your answer to one decimal place.)

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