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The population of a small industrial town was 12 910 in 2000. Each year, the population decreases by an
average of 5%. Estimate the population in the year 2020. Round to the nearest whole number.

Respuesta :

Answer:

4628

Step-by-step explanation:

We are given that

In 2000

The population of a small industrial town  in 2000=12910

Depreciation rate, r=5% per year

We have to find the  population in the year 2020.

Time from 2000 to 2020=20 years

[tex]FV=PV(1-\frac{r}{100})^n[/tex]

Where FV=Future value

PV=Present value

Using the formula

[tex]FV=12910(1-\frac{5}{100})^{20}[/tex]

[tex]FV=12910(\frac{95}{100})^{20}[/tex]

FV=4628

Hence, the population in 2020 =4628