The population of a city has been increasing by 2% annually. In 2000, the population was 315,000. Predict the population of the city in 2020. Round your answer to the nearest thousand.

Respuesta :

Answer:

A = 835,800

Step-by-step explanation:

The appropriate compounding formula is A = P(1 + r)^n, where r is the interest rate as a decimal fraction and n is the number of years.

Here P = 315000 and n = 20 (which is 20 years past 0, which represents the year 2000).

Therefore, A = 315000(1 + 0.02)^20, or

                 A = 315000(1.02)^20, or

                   A = 835,789, or, rounded off, A = 835,800

The required population of the city in 2020 is A = 835,800.

Given that,

The population of a city has been increasing by 2% annually.

In 2000, the population was 315,000.

We have to find,

Predict the population of the city in 2020.

According to the question,

The appropriate compounding formula is

[tex]A = P (1+r)^{n}[/tex]

Where r is the interest rate as a decimal fraction and n is the number of years.

Here, P = 315000 and n = 20 (which is 20 years past 0, which represents the year 2000).

Therefore,

[tex]A = 31500(1+0.02)^{20}[/tex]

[tex]A = 31500(1.02)^{20}[/tex]

A = 835,789

Rounded off, A = 835,800.

Hence, The required population of the city in 2020 is A = 835,800.

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