If P(t) denotes the population at time t and A(t) denotes the average annual income,then T(t)=P(t)A(t) is
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If P(t) denotes the population at time t and A(t) denotes the average annual income,then T(t)=P(t)A(t) is the total personal income. In this exercise,we estimate the rate at which the total personal income is rising in a town in Colorado. In 2015,the population of this city wad 107,250,and the population was increasing by roughly 1,950 people per year. The average annual income was $60,250 per capita,and this average was increasing at abou6 $2,500 per year(a little above the national average of about 1,810 yearly) Use the Product Rule and these figures to estimate the rate at which total personal income was rising (in millions of dollars per year) in the city in 2015.
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