A car salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of ​$16. Option B is a commission rate on weekly​ sales, and he averages ​$6400 in sales each week. What commission rate does he need to have to earn the same amount with the two​ options?

The parent absolute value function is translated  3 units left and 1 unit up.

The function that is graphed is [tex]f(x) = |x + 3| +1[/tex]

The parent absolute function is given as:

[tex]y =|x|[/tex]

When a function is translated 3 units left, the rule of transformation is:

[tex](x,y) \to (x + 3,y)[/tex]

So, we have:

[tex]y = |x + 3|[/tex]

When a function is translated 1 unit uo, the rule of transformation is:

[tex](x,y) \to (x,y+1)[/tex]

So, we have:

[tex]y = |x + 3| +1[/tex]

Express as a function

[tex]f(x) = |x + 3| +1[/tex]

Hence, the function that is graphed is [tex]f(x) = |x + 3| +1[/tex]

Read more about transformation at:

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Answer:

left,up, lx+3l+1

Have fun

48

Step-by-step explanation:

idek I just need tge points so don't put what I put

Answer:

-8

Step-by-step explanation:

1. Simplify

2/3 (9x - 12) -6x —-> 2 (9x - 12) -6x/3

2. Distribute

2(9−12)/3 -6x

18x - 24/3 -6x

3. Find common denominator

18 −24/3 + 3(-6)x/3

4. Combine fractions with common denominator

18−24+3(−6)/3

5. Multiply the numbers

18−24+3(−6)/3 ——> 18−24−18/3

6. Combine like terms

18−24−18/3 ——> -24/3

7. Cancel terms that are in both the numerator and denominator

−24/3

−8

Hope it helps! Have a great day! :D

Answer:

D.

Step-by-step explanation:

Answer:

65

50

Step-by-step explanation:

yeah-ya........ right?

Answer:

height = 10 , area = 240 units²

Step-by-step explanation:

The diagonal splits the rectangle into 2 right triangles.

Using Pythagoras' identity in the right triangle formed

with hypotenuse h = 26 and legs 24 and height x , then

x² = 26² - 24² = 676 - 576 = 100 ( take square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

Height = 10 units

area of rectangle = 24 × 10 = 240 units²

Answer:x-3

Step-by-step explanation:

Answer:

2/3 - (-2/3)

=0.66 - (-0.66)

=0.66+0.66

= 1.32

Answer:

111.101, 110.111, 101.121, 101.112

Step-by-step explanation:

Descending order means values starting with big ones and ending with the small ones.

So, in this case,

Hope it helps :)

Answer

9=5 equivalent

Step-by-step explanation:

Answer:

A. cos(x) = 1/2

Step-by-step explanation:

2sec(x) = 9-5 = 4

sec(x) = 4/2 = 2

1/cos(x) = 2

cos(x) = 1/2

The credit card provides the opportunity for Anthony to purchase the TV by paying at a rate of $50 a month.

The correct responses are;

Reasons:

The price of the TV, P = $700

The interest rate is r = 18%

The monthly payment, M = $50

Monthly payment formula is given as follows;

[tex]M = \mathbf{ \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}[/tex]

The time it will take to pay using the credit card is therefore;

[tex]\displaystyle 50 = \dfrac{700 \times \left(\dfrac{0.18}{12} \right) \cdot \left(1+\dfrac{0.18}{12} \right)^n }{\left(1+\dfrac{0.18}{12} \right)^n - 1} = \frac{10.5 \cdot 1.015^n}{1.015^n-1}[/tex]

Which gives;

50 × (1.015ⁿ - 1) = 10.5 × 1.015ⁿ

Solving for n gives;

[tex]\displaystyle n = \frac{ln\left(\frac{50}{39.5}\right) }{ln(1.015)} \approx \mathbf{15.832}[/tex]

It will take approximately 15.832 months for Anthony to pay for the TV at $50 per month.

1. The final price of the TV = $50 × 15.832 ≈ $791.6

2. The number of hours of work, t, is given as follows;

[tex]\displaystyle t = \frac{\$700}{\$10 \ per \ hour} = \mathbf{ 70 \ hours}[/tex]

Anthony has to work for 70 hours to save enough money to purchase the TV.

3. The extra hours of work is given by the hours of work needed to pay for the interest amount for the loan on the card

The interest amount on the card = $791.6 - $700 = $91.6

[tex]\displaystyle Extra \ hours \ to \ work = \mathbf{ \frac{\$ 91.6}{\$10 \ per \ hour}} = 9.16 \ hours[/tex]

Anthony has to work for extra 9.16 hours bussing tables using his credit card.

Learn more about payment on loan here:

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Answer:

y=-1/3x+2/3 (please mark brainliest)

Step-by-step explanation:

start with y=3x+6

you can get the slope of the perpendicular line by dividing the slope by -1,

so the slope of the new line is -1/3.

using the point and the slope of the new line, we can put it into point-slope form:

y-y₁=m(x-x₁)

y-0=-1/3(x-2)

simplify:

y=-1/3x+2/3

this is the final equation in the form y=mx+b

Answer:

Step-by-step explanation:

The cost function c(n) for n T-shirts can be written according to the problem statement:

  [tex]c(n)=\begin{cases}20+12n&\text{for }n<10\\20+10n&\text{for }10\le n\le20\\20+7n&\text{for }n>20\end{cases}[/tex]

For an order of 15 shirts, the cost will be ...

  c(15) = 20 +10(15) = 170

The soccer team's 15 shirts will cost $170.

Step-by-step explanation:

Nitrogen and oxygen absorb solar radiation and release thermal energy, which causes temperatures in the thermosphere to be 1000 °C or higher. When most people think of an area that has high temperatures, they think of a place that is very hot. Although the thermosphere has very high temperatures, it does not feel hot. The answer is true

So, this has many steps to it.

This part is to let us know what symbols we should use (VERY IMPORTANT)

1. Since you know that Sarah is two inches taller, we would use a + sigh in our expression

2.Then you look for the key word which is quotient and that means to divide

    All of our symbols are in now. Time for the next step

This part us know what we are dividing and adding.

Now 2+ b/5

Answer:

[tex]2 + \frac{b}{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

8.85

Step-by-step explanation:

Answer:

an = -6 + n

a10 = -6+ 10 =4

Step-by-step explanation:

an should start at one behind the first number so it should be -6. Then we add  whatever the sequence is increasing by, which is 1 in this case, multiplied by n.

an = -6 + n

a10 = -6+ 10 =4

Answer:

5 => 2

6 => 3

7 => 4

8 => 5

9 => 6

Answer:

2,3,4,5,6

Step-by-step explanation:

y = 5 - 3 = 2

y = 6 - 3 = 3

y = 7 - 3 = 4

y = 8 - 3 = 5

y = 9 - 3 = 6

Answer:

C

Step-by-step explanation:

Answer:

5.23

Step-by-step explanation:

The opposite of a number is the opposite signs,

the opposite of negative is positive and the opposite of positive is negative,

so the opposite of negative 5.23 is positive 5.23.

Answer:

i think x = -1, y = 1

Step-by-step explanation:

3+2x-y=0

so 3+2x = y

-3-7y=10X

-3-7(3+2x) = 10x

-3-21-14x = 10x

-24-14x = 10x

-14x-10x = 24

-24x = 24

x = -1

3+2x = y

so 3+2(-1) = y

3+(-2) = y

1 = y

SO x = -1 and y = 1

Answer:

2, 5, 10, 50, 55, 275, 280

Step-by-step explanation:

hope this heled you.. :)

A) Length is 82 m

B) Width is 58 cm

Hope this is helpful!

Q. If the graph of the parent function f(x) = x is shifted 7 units down, which of the following equations would the new graphed line represent?

Answer: Polynomial

Step-by-step explanation:

Answer:

A, C, and E

Step-by-step explanation:

if 16 watermelons cost 48, then 1 watermelon costs 3$ meaning A C and E apply to that.

Answer:

$277.75

5.50×40=220

5.50÷2=2.75

5.50+2.75=8.25×7=57.75

57.75+220=277.75