5. Let the number of people employed in city $N$ be 15 million. It is known that the unemployment rate in this city is $\mathbf{8 \%}$. Find the number of unemployed people (in million). Round your answer to the nearest thousandth. (12 points).

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# Solution:

$\boldsymbol{L}=\boldsymbol{U}+\boldsymbol{E}, \boldsymbol{U}=\boldsymbol{L}-15$, since $\boldsymbol{E}=15$ (where $\boldsymbol{E}-$ employed (working), $\boldsymbol{L}$ - labour force, $\boldsymbol{U}$ unemployed (unemployed).

$u=U / L^{*} 100=8, \quad(L-15) / L * 100=8, \quad 8 L=100 L-1500, \quad 92 L=1500, \quad L=16,304, \quad U=16,304-$ $15=1,304$ million people.

Answer: 1,304 million people.

## Grading Criteria:

1) Correct use of the formula for calculating the number of unemployed - 7 points
2) Correctly found the number of unemployed - 5 points. If an arithmetic error is made in calculating the number of unemployed with the correct formula, only 4 points are given. If there is an error in rounding the result with the correct number of unemployed found, 4 points are given.