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 $$ =\frac{ ext { Real GDP }}{ ext { Poputation }} $$ Per Capita GDP $$ =\$[ $$ ?] Round to the nearest cent.

Question

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 $$ =\frac{	ext { Real GDP }}{	ext { Poputation }} $$ Per Capita GDP $$ =\$[ $$ ?] Round to the nearest cent.

UpStudy AI · Accepted Answer

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:
$$
\boxed{\$38,\!575.07}
$$
The per capita GDP is \$38,575.07.

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