The GDP in Brazil is \( \$ 2.05 \) trillion. The rate of inflation is \( 2.5 \% \). If the population of Brazil is \( 207,833,000 \), find the per capita GDP in this country. Real GDP \( = \) GDP \( -( \) (GDP. Inflation Rate \( ) \) Per Capita GDP \( =\frac{\text { Real GDP }}{\text { Population }} \) Per Capita GDP \( =\$[?] \) Round to the nearest cent
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To find the per capita GDP, we first need to calculate the Real GDP. 1. Calculate the Real GDP: - Given GDP: \( \$2.05 \) trillion or \( \$2,050,000,000,000 \) - Inflation Rate: \( 2.5\% \) - Real GDP = GDP - (GDP * Inflation Rate) - Real GDP = \( 2,050,000,000,000 - (2,050,000,000,000 * 0.025) \) - Real GDP = \( 2,050,000,000,000 - 51,250,000,000 \) - Real GDP = \( 1,998,750,000,000 \) 2. Now, calculate the per capita GDP: - Population: \( 207,833,000 \) - Per Capita GDP = Real GDP / Population - Per Capita GDP = \( 1,998,750,000,000 / 207,833,000 \) - Per Capita GDP ≈ \( 9,618.92 \) Therefore, the per capita GDP in Brazil is approximately \( \$9,618.92 \).