## The population of the city of Miami is approximately 463,300 and is increasing at a rate of 3% each year. Use an exponential function to fin

Question

The population of the city of Miami is approximately 463,300 and is increasing at a rate of 3% each year. Use an exponential function to find the population of the city after 7 years. Round to the nearest whole number.

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2022-01-31T05:56:03+00:00
2022-01-31T05:56:03+00:00 1 Answer
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## Answers ( )

Answer:The population of the city after 7 years = 569,859Step-by-step explanation:The population of the city of Miami = 463,300

The rate of increase in population every year = 3%

The population of the city after 7 years = ?

By formula, [tex]P_{n} = P (1 +\frac{r}{100})^{n }[/tex]

Pn is the population after 7 years

P is the current population = 463,300

r = 3 %, n = 7

[tex]P_{7} = 463300 (1 +\frac{3}{100})^{7 }[/tex]

= 463300 (1.23)

= 569859

The population of the city after 7 years = 569,859