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The population of a city is modeled by


P ( t ) = 78 , 300 ( 1.023 ) t

P ( t ) represents the number of people and t is the number of years since 2014.


Approximate the population of the city in the year 2035, rounded to the nearest whole number.

Respuesta :

Answer:

the population of the city in the year 2035 is 126,226

Step-by-step explanation:

The population of a city is modeled by

[tex]P(t)= 78300(1.023 )^t[/tex]

P ( t ) represents the number of people and t is the number of years since 2014.

in the year 2014, the year t=0

we need to find the population in the year 2035

2035-2015= 21

so find population when t=21

[tex]P(t)= 78300(1.023 )^t[/tex]

[tex]P(21)= 78300(1.023 )^{21}=126226.36[/tex]

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