Population

The town has 159,000 inhabitants. 25 years ago, there were 158,000. If the population's average rate is the same as in previous years, how many people will live in a city in 10 years?

Correct answer:

x =  159402

Step-by-step explanation:

$$\begin{gathered} n_1=n_2\cdot q^{25} \\ \ln n_1=\ln n_2+25\cdot \ln q \\ \ln q=\frac{\ln 159-\ln 158}{25} \\ \ln q=0.00025236676773059 \\ q=e^{0.00025236676773059}=1.0002523986149 \\ p=0.03\% \\ x=159000\cdot q^{10}=159000\cdot 1.0002523986149^{10} \\ x=159402 \end{gathered}$$

Try another example