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

P(t) =616.5/1 + 4.02e^0.5t

whereP(t) is measured in millions of people andtis measured in 30-year intervals, witht= 0 corresponding to 1930. What is the expected population of the United States in2050(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)

whereP(t) is measured in millions andtis measured in years, witht= 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 in2003? (Round your answer to one decimal place.)