Demographics Suppose the number of citizens aged 45–64 years is approximated by: P(t) = 197.9 / (1 + 3.274e^(-0.0361t)) (0 ≤ t ≤ 25) 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 2010? In 2013? (Round your answers to one decimal place.) 2010: million people 2013: million people Demand for Computers A certain company found that the monthly demand for its new line of tablet computers t months after the line was placed on the market was given by: D(t) = 2500 - 1400e^(-0.03t) (t > 0) Graph this function and answer the following questions. (Round your answers to the nearest integer.) (a) What is the demand after 1 month? After 1 year? After 2 years? After 5 years? After 1 month: computers After 1 year: computers After 2 years: computers After 5 years: computers (b) At what level is the demand expected to stabilize? Computers (c) Find the rate of growth of the demand after the tenth month. Computers per month
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