2. According to analysts' forecasts, next year the number of the economically active population (employed and unemployed) in a certain city will increase by $4 \%$, while the number of unemployed will decrease by $9 \%$. What percentage of the economically active population next year will be unemployed, if this year they made up $5.6 \%$?
Solution. Let x people be the initial population of the city. Then $0.08 x$ people are the number of unemployed initially. Currently, the population is $-1.04 x$ people, and the number of unemployed is $(0.91 \cdot 0.056 x)$ people. $(0.91 \cdot 0.056 x \cdot 100) \div 1.04 x = 4.9\%$ - the percentage of unemployed from the total number of residents at present.

Answer: $4.9\%$.

Criteria: Full solution - 7 points; progress in the solution, not brought to a complete solution - 3 points; only the correct answer - 1 point.