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The GDP in Argentina is \( \$ 637 \) billion. The rate of inflation is \( 2.5 \% \). If the population of Argentina is \( 43,937,000 \), find the per capita GDP in this country. Real GDP \( = \) GDP \( -( \) (GDP. Inflation Rate \( ) \) Per Capita GDP \( =\frac{\text { ReapD }}{\text { Poputaion }} \) Per Capita GDP \( =\$[?] \) Round to the nearest cent.

Ask by Weber Cross. in the United States
Feb 03,2025

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Answer

The per capita GDP in Argentina is \$14,135.58.

Solution

To calculate the **Per Capita GDP** for Argentina, follow these steps: 1. **Calculate Real GDP:** \[ \text{Real GDP} = \text{GDP} - (\text{GDP} \times \text{Inflation Rate}) \] Given: - GDP = \$637 billion - Inflation Rate = 2.5% = 0.025 \[ \text{Real GDP} = 637 - (637 \times 0.025) = 637 \times 0.975 = 621.075 \text{ billion dollars} \] 2. **Calculate Per Capita GDP:** \[ \text{Per Capita GDP} = \frac{\text{Real GDP}}{\text{Population}} \] Given: - Real GDP = \$621.075 billion = \$621,075,000,000 - Population = 43,937,000 \[ \text{Per Capita GDP} = \frac{621,075,000,000}{43,937,000} \approx 14,135.58 \text{ dollars} \] **Rounded to the nearest cent:** \[ \text{Per Capita GDP} = \$14,135.58 \] **Final Answer:** \(\boxed{\$14,\!135.58}\)

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To find the per capita GDP, we first need to calculate the Real GDP by accounting for inflation. The formula is: \[ \text{Real GDP} = \text{GDP} - (\text{GDP} \times \text{Inflation Rate}) \] Substituting our values: \[ \text{Real GDP} = 637 \text{ billion} - (637 \text{ billion} \times 0.025) = 637 - 15.925 = 621.075 \text{ billion} \] Now, using the Real GDP to calculate the Per Capita GDP: \[ \text{Per Capita GDP} = \frac{\text{Real GDP}}{\text{Population}} = \frac{621.075 \text{ billion}}{43,937,000} \] Calculating this gives: \[ \text{Per Capita GDP} = \frac{621,075,000,000}{43,937,000} \approx 14,134.84 \] Thus, the per capita GDP in Argentina is approximately **$14,134.84** when rounded to the nearest cent.

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