Answer:
The total value the U.S. imported and exported is 19364 billion dollars
Step-by-step explanation:
* Lets explain how to solve the problem
- The yearly value of U.S. exports can be modeled by the function
E(x) = −228 x³ + 2,252.8 x² − 6,098.5 x + 11,425.8
# x is the number of years after 2008
# E(x) is the value of exports in billions of dollars
- The yearly value of U.S. imports can be modeled by the function
I(x) = −400.4 x³ + 3,954.4 x² − 11,128.8 x + 17,749.6
# x is the number of years after 2008
# I(x) is the value of imports in billions of dollars
* We need to calculate the total value the U.S. imported and
exported in 2012
∵ x is the number of years after 2008
∴ At 2012 x = 4 years
- Lets calculate the value of the exports in 2012
∴ E(x) = -228(4)³ + 2,252.8(4)² - 6,098.5(4) + 11,425.8
∴ E(x) = 8484.6 billion dollars
- Lets calculate the value of the imports in 2012
∴ I(x) = -400.4(4)³ + 3,954.4(4)² - 11,128.8(4) + 17,749.6
∴ I(x) = 10879.2 billion dollar
∵ The total value the U.S. imported and exported = E(x) + (I(x)
∴ The total value = 8484.6 + 10879.2 = 19363.8
∴ The total value = 19364 billion dollars
* The total value the U.S. imported and exported is 19364 billion dollars
