ed07042005
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A town has a population of 10000 and grows at 5% every year. What will be the population after 5 years, to the nearest whole number?

Respuesta :

graylynrhee
one year : 10000 * 1.05 = 10500

two years : 10500 * 1.05 = 11025

three years : 11025 * 1.05 = 11576.25

four years : 11576.25 * 1.05 = 12155.0625

five years : 12155.0625 * 1.05 = 12762.8156

rounded to the nearest whole number, the town would have 12,763 people in five years.
MrRoyal

The population of the town in 5 years is 12763

The given parameters are:

Initial value (a) = 10000

Rate (r) = 5%

A population growth model is represented as:

[tex]y = a(1 + r)^x[/tex]

So, we have:

[tex]y = 10000 * (1 + 5\%)^x[/tex]

In 5 years, we have:

[tex]x = 5[/tex]

So, we have:

[tex]y = 10000 * (1 + 5\%)^5[/tex]

Evaluate

[tex]y = 12763[/tex]

Hence, the population in 5 years is 12763

Read more about exponential functions at:

https://brainly.com/question/11464095

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