Pilsen Region

Between 2000 and 2001, 14 per mille of the population decreased in the Pilsen Region. In 2000, the Pilsen Region had 551281 inhabitants. If the declining trend continues the same (i.e., 14 per mille of inhabitants per year), how many inhabitants will the Pilsen Region have in 2100?

Correct answer:

n =  136517

Step-by-step explanation:

$$\begin{gathered} a=551281 \\ q=1-\frac{14}{1000}=\frac{1\cdot 1000}{1000}-\frac{14}{1000}=\frac{1000}{1000}-\frac{14}{1000}=\frac{1000-14}{1000}=\frac{986}{1000}=\frac{493}{500}=0.986 \\ t=2100-2000=100 \\ n=a\cdot q^{t-1}=551281\cdot 0.986^{100-1}=136517 \end{gathered}$$

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