5. Fill in the missing values in the following table of data.
Employed 146,047,000
Unemployed ________________
Unemployment Rate 4.6%
Civilian Labor Force _______
Ans) Labour force= employed + unemployed
Labour force = 146,047,000 + unemployed
Unemployment rate = (unemployed ÷ labour force)×100
Let U be Unemployed. And substitute labour force with (146,047,000 + U)
4.6 = [U ÷ (146,047,000 + U)]×100
4.6 ÷ 100 = U ÷ (146,047,000 + U)
0.046 × (146,047,000 + U) = U
While opening bracket, we multiply outer number with all the numbers present inside the bracket separately alongwith their signs.
6,718,162 + 0.046 U = U
6,718,162 = U - 0.046 U
6,718,162 = 0.954 U
U = 6,718,162 ÷ 0.954
U = 7,042,098.5 or 7,042,099
Labour force = 146,047,000 + 7,042,098.5 = 153,089,098.5 or 153,089,099
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