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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