The population of Leavetown is 123,000 and is decreasing at a rate of 2.375% each year. What will the population of Leavetown be

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Question

The population of Leavetown is 123,000 and is decreasing at a rate of 2.375% each year.

What will the population of Leavetown be 100 years from now?

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Math Cora 4 months 2022-02-02T05:48:06+00:00 2022-02-02T05:48:06+00:00 1 Answer 0 views 0

Answers ( )

Caroline · Answer 1 · 2022-02-02T05:49:52+00:00

The population of Leavetown after 100 years would be 111,17.5681.

Step-by-step explanation:

Given that,

Initial Population = I = 123,000

Decreasing Rate = r = 2.375 = 0.02375

We have to find the population after 100 years. So,

n = 100

The formula to calculate the population (P) after n years with a decreasing rate r is:

[tex]P = I (1-r)^{n}[/tex]

Now, put the values in this formula.

[tex]P = 123,000 (1-0.02375)^{100}[/tex]

[tex]P = 123,000 (0.97625)^{100}[/tex]

[tex]P = 11117.5681[/tex]

Hence, the population of Leavetown after 100 years would be 111,17.5681.