Answer:
She sold for $4683.33
Step-by-step explanation:
For a sales of $1000 she is paid 7.5% which is equivalent to $75.
Since she earned $517 , her total sales was more than $1000.
Let she had a sales of $(1000+x).
Then her commission would be $75 + 12% of $x .
But her total commission was $517.
Then commission from sales after she sold for $1000 = $(517 - 75)
= $442
This is also equal to 12% of x.
![0.12 \times x[\tex] = $442x = [tex] \frac{442}{0.12}](https://tex.z-dn.net/?f=0.12%20%5Ctimes%20x%5B%5Ctex%5D%20%3D%20%24442%3C%2Fp%3E%3Cp%3Ex%20%3D%20%5Btex%5D%20%5Cfrac%7B442%7D%7B0.12%7D)
x = $3683.33
Hence she sold for $4683.33
Rate of change = difference in y values / corresponding difference in x values
For the first function it is (7-6) / (3 - 0) = 1/3
For the second function its the slope of the line rise / run = 2/6 = 1/3
So they are the same
Option C
Option D: The distance between the two points is 13 units
Explanation:
It is given that the two points are
and 
We need to determine the distance between the two points.
It is also given that the distance between the two points can be determined using the formula,

Substituting the points
and
for the coordinates
and 
Thus, we get,

Simplifying, we have,

Adding the terms, we get,

Squaring the terms, we have,

Adding the terms, we get,

Simplifying and rounding off the value to the nearest tenth, we have,

Hence, the distance between the two points is 13 units.
Therefore, Option D is the correct answer.
Answer:
The minimum cost is $17.30c
Step-by-step explanation:
Given
--- Volume
--- cost of wall paint
---cost of ceiling paint
Required
Minimum cost of paint
The volume is calculated as:

Substitute 288 for V

Make z the subject

The surface area is calculated as:

Because xy represent the dimension of the ceiling and the opposite of the ceiling (the floor) will not be painted. Hence, it does not require a coefficient of 2
The cost is:

Substitute 





Differentiate w.r.t x and y


By comparison: 
Set them equal to 0


Substitute x for y


Cross multiply



Take the cube root of both sides
![x = \sqrt[3]{216}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B216%7D)


Substitute 6 for x and for y in 




--- approximated
Answer for this system: (-1, 4)