1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
myrzilka [38]
3 years ago
9

From data gathered in the period 2008−2012, the yearly value of U.S. exports can be modeled by the function E(x) = −228x3 + 2,25

2.8x2 − 6,098.5x + 11,425.8 where x is the number of years after 2008 and 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) = −400.4x3 + 3,954.4x2 − 11,128.8x + 17,749.6 where x is the number of years after 2008 and I(x) is the value of imports in billions of dollars. Estimate the total value the U.S. imported and exported in 2012. Round to the nearest whole number. About billion dollars were imported and exported by the U.S. in 2012.
Mathematics
1 answer:
vredina [299]3 years ago
7 0

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

You might be interested in
Please help me i’ll give brainliest or whatever its called
kirill [66]

Answer:

<h2>2.6</h2>

Step-by-step explanation:

To solve this, we need to use the Pythagorean theorem to solve this.

The way to solve is by solving for AD by using triangle CAD and then using that result to solve for BD.

3.4² + b² = 6.5²

11.56 + b² = 42.25

42.25 - 11.56 = b²

b = √30.69

b = 5.53985559 or about 5.5

4.9² + b² = 5.5²

24.01 + b² = 30.69

30.69 - 24.01 = 6.68

b = √6.68

b = 2.58456959666 or about 2.6

<h2>EDIT: the other user is incorrect, here's why</h2>

3.4 + 4.5 = 7.9

6.5² + 4.9² = 7.9²

66.26 doesn't equal 62.41

7 0
2 years ago
Help with addition for child 324+423
Cerrena [4.2K]

Answer:

747

Step-by-step explanation:

Have a great day!!

7 0
2 years ago
Read 2 more answers
State the domain and range for the graph of the following function:
iVinArrow [24]

Answer

so whats the question?

Step-by-step explanation:

8 0
3 years ago
I'm confused<br>What is the answer?​
forsale [732]

If <em>c</em> > 0, then <em>f(x</em> - <em>c)</em> is a shift of <em>f(x)</em> by <em>c</em> units to the right, and <em>f(x</em> + <em>c)</em> is a shift by <em>c</em> units to the left.

If <em>d</em> > 0, then <em>f(x)</em> - <em>d</em> is a shift by <em>d</em> units downward, and <em>f(x)</em> + <em>d</em> is a shift by <em>d</em> units upward.

Let <em>g(x)</em> = <em>x</em>. Then <em>f(x)</em> = <em>g(x</em> + <em>a)</em> - <em>b</em> = (<em>x</em> + <em>a</em>) - <em>b</em>. So to get <em>g(x)</em>, we translate <em>f(x)</em> to the left by <em>a</em> units, and down by <em>b</em> units.

Note that we can also interpret the translation as

• a shift upward of <em>a</em> - <em>b</em> units, since

(<em>x</em> + <em>a</em>) - <em>b</em> = <em>x</em> + (<em>a</em> - <em>b</em>)

• a shift <em>b</em> units to the right and <em>a</em> units upward, since

(<em>x</em> + <em>a</em>) - <em>b</em> = <em>x</em> + (<em>a</em> - <em>b</em>) = <em>x</em> + (- <em>b</em> + <em>a</em>) = (<em>x</em> - <em>b</em>) + <em>a</em>.

6 0
2 years ago
A bag of 8 apples cost $2.88. What is the cost of one apple
k0ka [10]
You have to use the formula cost over quantity Divide 8 and $2.88 The answer is. 0.36
6 0
3 years ago
Other questions:
  • Verify that the function is a solution of the initial value problem. (a) y = x cos x; y = cos x − y tan x, y(π/4) = π 4 √2
    6·1 answer
  • I need the answer to part be ASAP pleaseeee
    10·1 answer
  • Angles PTQ and STR are vertical angles and congruent.
    10·2 answers
  • It was once believed that all of the bodies of the solar system were perfect spheres with absolutely nothing on their surfaces.
    8·1 answer
  • Lisa decided to start exercising. The first day he jogged 0.5 miles. The next day she plans to jog 0.1 more than the previous da
    8·2 answers
  • The perimeter of a rectangle with a width x and a length that is 3 times the width
    13·1 answer
  • Find the values of x any y. Write your answers in simplest form.​
    10·1 answer
  • SOMEONE PLEASE PLEASE HELP ME ON THIS!!
    6·2 answers
  • Can anyone answer this ?
    6·1 answer
  • If h (n) = 3n^2- 4, Find h (0)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!