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den301095 [7]
3 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]3 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)
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It is 350% I think, because you are trying to find how many groups of 2 go into 7. So, you have to divide 7 by 2. You get 3.5. 3.5 in percentage form is 350%
6 0
3 years ago
Match each expression with an equivalent expression.
jolli1 [7]

1=6x-4x

2= 6x-4

3=6-4x

4=6x-4y

6 0
3 years ago
What is the average rate of change of the amount of the element over the 10-minute experiment? *
Dima020 [189]

Answer:

-2.7  g/min

Step-by-step explanation:

Given: a graph

To find: the average rate of change of the amount of the element over the 10-minute experiment

Solution:

A rate of change of one quantity with respect to another quantity is known as rate of change. If y is the dependent variable and x is the independent variable then average rate of change = change in y /change in x.

From the graph,

change in x (time) = 10-0=10 minutes

change in y ( amount of the element) = 3.22-30=-26.78 g

So, average rate of change = \frac{-26.78}{10} =-2.7  g/min

7 0
3 years ago
What is the base five representation of The number 219
ICE Princess25 [194]

assuming 219_{10}

Then the column values for base five here are

5³  5²  5^{1}  5^{0}

We can get 1 × 5³ = 125 → 219 - 125 = 94

We can get 3 × 5² = 75 → 94 - 75 = 19

We can get 3 x 5^{1} → 19 - 15 = 4

and 4 = 4 × 5^{0}

Thus 219_{10} = 1334_{5}

As a check

(1 × 125 ) + (3 × 25 ) + (3 × 5 ) + 4 = 219


3 0
3 years ago
It doesnt matter anymore, im gonna fail and nobody has been answering my question honestly, or not even reading it at all..
Papessa [141]

Answer: aw dont be sad

Step-by-step explanation:

stay happy

4 0
3 years ago
Read 2 more answers
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