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The average nominal incomes earned in Eturia and the CPI are shown in the table below.   2018 2019 2020Nominal income $26,700 $32,000 $34,000CPI (2002 = 100) 105 107 111.5a. Real income $ $ $ b. Percentage change of real income   % %a. Calculate real income for each year. Enter your responses in the table above. Round your answers to the nearest dollar.  b. By what percentage did real incomes rise in the years 2019 and 2020? Enter your responses rounded to one decimal place, in the table above.

Question

The average nominal incomes earned in Eturia and the CPI are shown in the table below.   2018 2019 2020Nominal income 26,70026,700 32,000 34,000CPI(2002=100)105107111.5a.Realincome34,000CPI (2002 = 100) 105 107 111.5a. Real income b. Percentage change of real income   % %a. Calculate real income for each year. Enter your responses in the table above. Round your answers to the nearest dollar.  b. By what percentage did real incomes rise in the years 2019 and 2020? Enter your responses rounded to one decimal place, in the table above.

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Solution

a. To calculate the real income, we need to adjust the nominal income for inflation. The formula for real income is:

Real Income = Nominal Income / (CPI/100)

For 2018: Real Income = 26,700/(105/100)=26,700 / (105/100) = 25,428 (rounded to the nearest dollar)

For 2019: Real Income = 32,000/(107/100)=32,000 / (107/100) = 29,906 (rounded to the nearest dollar)

For 2020: Real Income = 34,000/(111.5/100)=34,000 / (111.5/100) = 30,493 (rounded to the nearest dollar)

b. To calculate the percentage change in real income, we use the formula:

Percentage Change = [(New Value - Old Value) / Old Value] * 100

For 2019: Percentage Change = [(29,90629,906 - 25,428) / $25,428] * 100 = 17.6% (rounded to one decimal place)

For 2020: Percentage Change = [(30,49330,493 - 29,906) / $29,906] * 100 = 2.0% (rounded to one decimal place)

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