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Sagot :
To determine the percentage of the total GDP that consists of structures, we need to take the following steps:
1. Calculate the Total GDP:
We first sum up all the components of the GDP:
- Durable goods: 4.8 trillion dollars
- Nondurable goods: 2.5 trillion dollars
- Services: 11.1 trillion dollars
- Structures: 1.4 trillion dollars
- Change in inventories: 0.7 trillion dollars
Adding these together, we get:
[tex]\[ \text{Total GDP} = 4.8 + 2.5 + 11.1 + 1.4 + 0.7 = 20.5 \text{ trillion dollars} \][/tex]
2. Calculate the Percentage of GDP Consisted of Structures:
To find what percentage of the total GDP is made up of structures, we use the formula for percentage:
[tex]\[ \text{Percentage of GDP (Structures)} = \left(\frac{\text{Value of Structures}}{\text{Total GDP}}\right) \times 100 \][/tex]
Plugging in the values, we get:
[tex]\[ \text{Percentage of GDP (Structures)} = \left(\frac{1.4}{20.5}\right) \times 100 \][/tex]
3. Compute the Exact Percentage:
Performing the division and multiplication, we find:
[tex]\[ \left(\frac{1.4}{20.5}\right) \times 100 = 6.829268292682928 \% \][/tex]
4. Round to the Nearest Tenth:
Since the question requires that the answer be rounded to the nearest tenth, we round 6.829268292682928 to 6.8.
Thus, the percentage of total GDP consisting of structures is:
[tex]\[ 6.8 \% \][/tex]
Therefore, the answer is:
[tex]\[ \boxed{6.8} \% \][/tex]
1. Calculate the Total GDP:
We first sum up all the components of the GDP:
- Durable goods: 4.8 trillion dollars
- Nondurable goods: 2.5 trillion dollars
- Services: 11.1 trillion dollars
- Structures: 1.4 trillion dollars
- Change in inventories: 0.7 trillion dollars
Adding these together, we get:
[tex]\[ \text{Total GDP} = 4.8 + 2.5 + 11.1 + 1.4 + 0.7 = 20.5 \text{ trillion dollars} \][/tex]
2. Calculate the Percentage of GDP Consisted of Structures:
To find what percentage of the total GDP is made up of structures, we use the formula for percentage:
[tex]\[ \text{Percentage of GDP (Structures)} = \left(\frac{\text{Value of Structures}}{\text{Total GDP}}\right) \times 100 \][/tex]
Plugging in the values, we get:
[tex]\[ \text{Percentage of GDP (Structures)} = \left(\frac{1.4}{20.5}\right) \times 100 \][/tex]
3. Compute the Exact Percentage:
Performing the division and multiplication, we find:
[tex]\[ \left(\frac{1.4}{20.5}\right) \times 100 = 6.829268292682928 \% \][/tex]
4. Round to the Nearest Tenth:
Since the question requires that the answer be rounded to the nearest tenth, we round 6.829268292682928 to 6.8.
Thus, the percentage of total GDP consisting of structures is:
[tex]\[ 6.8 \% \][/tex]
Therefore, the answer is:
[tex]\[ \boxed{6.8} \% \][/tex]
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