Population growth 2

The present population of the town is 200,000. Its population increases by 10% in the first year and 15% in the second year. Find the population of the town at the end of the two years.

Final Answer:

a₂ =  253000

Step-by-step explanation:

$$\begin{gathered} a_1=200000 \\ {r}_1=100\%+10\%=1+\frac{10}{100}=1.1 \\ {r}_2=100\%+15\%=1+\frac{15}{100}=1.15 \\ r=r_1\cdot r_2=1.1\cdot 1.15=\frac{253}{200}=1\frac{53}{200}=1.265 \\ {a}_2=r\cdot a_1=1.265\cdot 200000=253000 \end{gathered}$$

Try another example