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a county has 120,000 employed people and a labor force of 132,000. what…

Question

a county has 120,000 employed people and a labor force of 132,000. what is the unemployment rate?
a 10%
b 9.09%
c 8.33%
d 12%

Explanation:

Step1: Calculate the number of unemployed people

The labor force is the sum of employed and unemployed people. So, the number of unemployed people \(U = 132000 - 120000=12000\)

Step2: Calculate the unemployment rate formula

The unemployment rate formula is \(UR=\frac{U}{LF}\times100\%\), where \(U\) is the number of unemployed people and \(LF\) is the labor - force. Substitute \(U = 12000\) and \(LF=132000\) into the formula: \(UR=\frac{12000}{132000}\times 100\%\)

Step3: Simplify the fraction

\(\frac{12000}{132000}=\frac{12}{132}=\frac{1}{11}\approx0.0909\)

Step4: Convert to percentage

\(UR = 0.0909\times100\% = 9.09\%\)

Answer:

B. \(9.09\%\)