The GDP in the United States is \( \$ 19.5 \) trillion. The rate of inflation is \( 2.5 \% \). If the population of the United States is \( 325,084,000 \), find the per capita GDP in this country. Real GDP \( = \) GDP - (GDP Inflation Rate \( ) \) Per Capita GDP \( =\frac{\text { Real }}{\text { Popplation }} \) Per Capita GDP \( =\$[ \) ? \( ] \) Round to the nearest cent.
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To find the Real GDP, first, we need to calculate the adjustment for inflation. With a GDP of \( \$ 19.5 \) trillion and an inflation rate of \( 2.5\% \), we can calculate: Real GDP = \( 19.5 \, \text{trillion} - (19.5 \, \text{trillion} \times 0.025) \) Real GDP = \( 19.5 \, \text{trillion} - 0.4875 \, \text{trillion} = 19.0125 \, \text{trillion} \) Next, we will find the Per Capita GDP, which is the Real GDP divided by the population: Per Capita GDP = \( \frac{19.0125 \, \text{trillion}}{325,084,000} \) Converting trillion to a standard number gives us \( 19,012,500,000,000 \): Per Capita GDP = \( \frac{19,012,500,000,000}{325,084,000} \approx 58,479.62 \) So, the Per Capita GDP rounded to the nearest cent is approximately \( \$58,479.62 \).
