answer.
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
den301095 [7]
2 years ago
6

You work forty hours a week at a furniture store. You receive a 1,200 dollar weekly salary, plus a 4.1% commision on sales over

12,000 dollars. Assume that you sell enough this week to get the commission. Given the functions f(x) = 0.041x and g(x) = x ̆12,000, which of (fog)(x) and (gof)(x) represents your commission?
Mathematics
1 answer:
Pachacha [2.7K]2 years ago
4 0
If you call x the total value of the sales, the sale over 12,000 will be: g(x) = 12,000 - x.

And the commission is 4.1% of that = 0.041 * (12,000 - x) = 0.041 * g(x)

So, if  f(x) = 0.041x, to calculate the commission you first have to calculate g(x) = 12,000 - x, and the f(g(x))=0.041[12,000 - x].

Which leads you to the solution for the commission as [f o g] (x) = f (g(x)) = 0.041 (12,000 - x).

Answer: [ f o g] (x)
You might be interested in
Solve the trigonometric equation in the interval [0, 2π). Give the exact value, if possible; otherwise, round your answer to two
svp [43]

Answer:

θ∈{\frac{\pi }{8},\frac{5\pi }{8},\frac{9\pi }{8},\frac{13\pi }{8}}

Explanation:

The given equation is

sin(2\theta )-cos(2\theta )=0

\Rightarrow sin(2\theta )=cos(2\theta )\\\\\therefore \frac{sin(2\theta )}{cos(2\theta )}=1\\\\tan(2\theta )=1\\\\\therefore 2\theta =n\pi +\frac{\pi}{4}\\\\\therefore \theta =\frac{n\pi }{2}+\frac{\pi }{8}

Applying values on 'n' we obtain values of θ that beling to [0,2π)

For n=0, θ=\frac{\pi }{8}

For n=1, θ =\frac{5\pi }{8}

For n=2,θ =\frac{9\pi }{8}

For n=3,θ =\frac{13\pi }{8}

6 0
2 years ago
Yolanda dug a hole in the ground that is deeper than -10 inches . She says the depth of the hole is greater than 10 inches. Is Y
denpristay [2]
No, she is not right
8 0
2 years ago
Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar pe
telo118 [61]
With the choices you gave, the answer to this question is the first statement, "2 loaves of bread and 4 batches of muffins''. I arrived with the answer through multiplying the amount of flour and sugar required for each loaf of bread and batch of muffins. 
4 0
2 years ago
Write a two step equation involving division and addition that has a solution of x = 25
Tamiku [17]
Start with the solution
x=-25
use the reverse of what they asked
they wanted division and addition
we use multiplication and subtract

ok
x=-25
we can use subtraction and multiplication in any order
minus 10 from both sides
x-10=-35
multiply both sides by 4
4(x-10)=-140
4x-40=-140 is a possible equation
6 0
2 years ago
Jada created the two-way table below to describe the performance of her basketball team this season.
kramer
To answer the question, all the statements must be analyzed with the data presented in the table.
 From the table we get that the team played 16 games at home and 11 games away from home.
  In total, they played 27 games.
 Of the 16 games at home, the team won 6. Then, the proportion of games won at home is:
 6/16 = 0.375.
  Of the 11 games away from home, the team won 3. Then the proportion of games won away from home is:
  3/11 = 0.272.
  0.375 is not twice 0.272.
  Then the first statement is incorrect.

 The ratio of games won at home is 6/16 = 3/8. Therefore, the second statement is incorrect. The team does not win 3/5 of the games at home.
 The total number of games won is 9 and the total number of games is 27.
 So, the third statement is incorrect. The team does not win half of the games.
 The fourth statement is true. The team played 27 games

 The fifth statement is false because the team won more than 6 games. They won 3 games away from home and 6 games at home

 Finally, the sixth statement is correct, because the team lost 10 games at home and 8 away from home. However, the PERCENTAGE of games lost away from home is greater than the PERCENTAGE of games lost at home. Therefore, it is more likely that the team loses when playing away from home.
3 0
2 years ago
Read 2 more answers
Other questions:
  • Jazmeen can walk 1/4 mile every 1/5 hour. At this rate, how far can jazmeen walk in one hour .At this rate, how far can jazmin w
    8·2 answers
  • The weights of tennis balls are normally distributed, with the mean being 5.15 ounces and the standard deviation being 0.10. wha
    11·1 answer
  • A gardener is planning to fill her garden with mulch. She plots it on a grid to plan how much she will need. The garden is in th
    11·1 answer
  • Find the amount of elapsed time between each pair.
    5·2 answers
  • Which equation has x = –6 as the solution?
    5·2 answers
  • This pencil cup is made out of plastic. It is 5 inches tall and has a radius of 1.75 inches. How many square inches of plastic w
    11·1 answer
  • Which graph represents the hyperbola = 1?
    7·2 answers
  • Peter wants to buy a coat that costs $87 at full price.The coat is now on sale for 40% off
    10·1 answer
  • Mahalia is making cloth napkins. She bought fabric that is 12 inches wide and 6 yards long. How much napkins can Mahalia make if
    12·1 answer
  • & Recommendations
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!