The GDP in the United Kingdom is \( \$ 2.64 \) trillion. The rate of inflation is \( 2.5 \% \). If the population of the United Kingdom is \( 66,727,000 \), find the per capita GDP in this country. Real GDP \( = \) GDP \( -( \) GDP . Inflation Rate \( ) \) Per Capita GDP \( =\frac{\text { Real GDP }}{\text { Poputation }} \) Per Capita GDP \( =\$[ \) ?] Round to the nearest cent.

To calculate the **Per Capita GDP** for the United Kingdom based on the given information, follow these steps: ### Given: - **GDP**: \$2.64 trillion - **Inflation Rate**: 2.5% - **Population**: 66,727,000 ### Formulas: 1. **Real GDP**: \[ \text{Real GDP} = \text{GDP} - (\text{GDP} \times \text{Inflation Rate}) \] 2. **Per Capita GDP**: \[ \text{Per Capita GDP} = \frac{\text{Real GDP}}{\text{Population}} \] ### Step-by-Step Calculation: 1. **Calculate Real GDP**: \[ \text{Real GDP} = \$2.64 \text{ trillion} - (\$2.64 \text{ trillion} \times 0.025) = \$2.64 \times 0.975 = \$2.574 \text{ trillion} \] 2. **Convert Trillion to Dollars**: \[ \$2.574 \text{ trillion} = \$2,574,000,000,000 \] 3. **Calculate Per Capita GDP**: \[ \text{Per Capita GDP} = \frac{\$2,574,000,000,000}{66,727,000} \approx \$38,575.07 \] ### Final Answer: \[ \boxed{\$38,\!575.07} \]