8. Beth doesn’t begin receiving commission until she reaches $50,000 in sales. After that, her commission rate is 12%. If she ends up selling cars totaling $115,000, how much money would she make in commission?
A.$13,800
B.$6,000
C.$7,800
D.$8,400

Given:

The equation for the linearized regression line is:

[tex]\log y=0.30x+0.296[/tex]

where x represents number of weeks and y be the customer's stock.

To find:

The number of weeks that will pass before the value of the stock reaches $200.

Solution:

We have,

[tex]\log y=0.30x+0.296[/tex]

Substituting y=200, we get

[tex]\log (200)=0.30x+0.296[/tex]

[tex]2.301=0.30x+0.296[/tex]

[tex]2.301-0.296=0.30x[/tex]

[tex]2.005=0.30x[/tex]

Divide both sides by 0.30.

[tex]\dfrac{2.005}{0.30}=x[/tex]

[tex]6.6833333=x[/tex]

[tex]x\approx 6.7[/tex]

Therefore, the correct option is C.

Step-by-step explanation:

here's the answer to your question

By using given trigonometric functions, Value of  [tex]cosx^{0}[/tex] is  [tex]\frac{8}{f}[/tex].

"Trigonometric functions are the basic six functions that have a domain input value as an angle of a right triangle, and a numeric answer as the range. There are six basic trigonometric functions used in Trigonometry. These functions are trigonometric ratios. The six basic trigonometric functions are sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function."

Given

[tex]sinx^{0}[/tex] = [tex]\frac{e}{f}[/tex] = [tex]\frac{Opposite Side}{Hypotenuse}[/tex]

[tex]tanx^{0}[/tex] = [tex]\frac{e}{8}[/tex] = [tex]\frac{Opposite side }{Adjacent}[/tex]

[tex]cosx^{0}[/tex] = ?

Formula to find the [tex]cosx^{0}[/tex]

[tex]cosx^{0}[/tex] = [tex]\frac{Adjacent }{Hypotenuse}[/tex]

⇒ [tex]cosx^{0}[/tex] = [tex]\frac{8}{f}[/tex]

By using given trigonometric functions, Value of  [tex]cosx^{0}[/tex] is  [tex]\frac{8}{f}[/tex].

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Answer:

x=50

Step-by-step explanation:

Look at the triangle as a whole. This is a 30-60-90 triangle by speculation. You can see that the hypotenuse is equal to 100. By using sine (you can use cosine as well) , you get the expression, "(sin 30 degrees) = x/100" since sin is the opposite side over the hypotenuse. Do some basic trigonometry to get "1/2 = x/100". By now, you should know that 50/100 is the same as 1/2.

Answer:

x=11

Step-by-step explanation:

The two angles add to a right angle which is 90 degrees

35+5x = 90

Subtract 35 from each side

35+5x-35 = 90-35

5x= 55

Divide by 5

5x/5 = 55/5

x = 11

Answer: First Choice. 5²*x

Step-by-step explanation:

Definition:

When a number is squared in math, it means it's been multiplied by itself. There would be a (2) signifier as a subscript on the number.

Times in mathematics stands for multiplied by.

Solve:

" Five Squared Times Four"

Five = 5

Squared = ²

Times = ×

Four = 4

Finally, combined together will be:

Hope this helps!! :)

please let me know if you have any questions

Answer:

-6

Step-by-step explanation:

you have to divide both sides by -13

-13x/-13=78/-13

x=-6

remember that the sign also matters.

I hope this helps

Answer:

F(5;4)

Step-by-step explanation:

Call F(x;y)

cuz E is the midpoint so we have a formula:

(-3+x)/2=1 -> x=5

(-8+y)/2=-2 -> y= 4

so F(5;4)

Answer:

y=5

Step-by-step explanation:

f(x) =5 is a line with the equation y=5

when reflected over the y-axis is still y= 5, because we reflected on to itself.

Answer:

2, 0, 1

Step-by-step explanation:

In quadratic equations if b^2-4ac is greater than 0, 2 solutions. if equal, 1, if less, 0.

Answer:

3x = 2

x = 2/3

[tex]\frac{2x^2 + 3x}{x^2 + 1 } =2[/tex]

Step-by-step explanation:

Answer:

the answer is a and ik because I just had the test

Step-by-step explanation:

Using Pythagoras theorem:

[tex] = \sqrt{{20}^{2} - {12}^{2} } [/tex]

[tex] = \sqrt{400 - 144}[/tex]

[tex] = \sqrt{256} [/tex]

[tex] = 16[/tex]

Step-by-step explanation:

-5x + 4y > -24

Plot and draw a graph that's it

Answer:

G. 14:5 is the correct answer.

Step-by-step explanation:

a:b = 4:5

a:c = 2:7

so,

here in first ratio a = 4

in second ratio a = 2

making them equal:

Taking LCM of 2 and 4 = 4

so

a:c = 2/7 = (2×2)/(7×2) = 4/14

so,

a = 4

c = 14

b = 5

so ratio c : b = 14:5

Answer:

the next 3 numbers in the pattern are 1/27 , 1/81. , and 1/243

Step-by-step explanation:

to go from 9 to 3 you either have to subtract 6 or divide by 3. if you subtract 6 it doesn't match with the numbers. if you divide by 3 it matches. you can multiply 1/9 by 1/3 or divide by 3. it end with the same answer

We have that The Next 3 patterns are

1/27,1/81,1/243

From the Question we are told that

Pattern. 9 ,3 ,1 ,1/3, 1/9

Generally

Using in inductive reasoning the pattern progresses as a function of  dividing by 3

Therefore

The next three number are

[tex]x_1=\frac{1/9}{3}\\\\x_1=1/27[/tex]

[tex]x_2=\frac{1/27}{3}\\\\x_2=1/81[/tex]

[tex]x_3=\frac{1/81}{3}\\\\x_3=1/243[/tex]

Therefore

The Next 3 Numbers are

1/27,1/81,1/243

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To solve this divide 4565 by 3.

Step-by-step explanation:

pricr of 1 kg powder= 4465/3

=1521.66

Answer:

c=82

Step-by-step explanation:

Answer:

The answer is 82!

Step-by-step explanation:

(18)^2 + (80)^2 is 6724, which has a square root of 82.

Answer:

L={∅}

Step-by-step explanation:

Answer:

[tex](x-4)^2+(y)^2=9[/tex]

Step-by-step explanation:

The general format for the equation of a circle is the following:

[tex](x-n)^2+(y-m)^2=a[/tex]

This circle will have a radius of ([tex]\sqrt{a}[/tex]), moreover, this circle will have its center at point [tex](n,m)[/tex]. Please note that its center is shifted (n) units to the right of the origin, and (m) units up. Apply this knowledge to the given problem.

The circle in the given problem has its center at (4, 0). Therefore the following can be stated,

[tex]n=4\\\\m =0[/tex]

Since one knows the center of the circle is at (4, 0), and (the circle has (4, 3) on its circumference, the distance between the coordinates will produce the radius of the circle. The following formula can be used to find the distance between two points on a number line,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the points one is trying to find the distance between. Substitute the given points into the formula and solve for the distance between them.

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]D=\sqrt{(4-4)^2+(3-0)^2}[/tex]

Simplify,

[tex]D=\sqrt{(4-4)^2+(3-0)^2}[/tex]

[tex]D=\sqrt{(0)^2+(3)^2}[/tex]

[tex]D=\sqrt{0+9}[/tex]

[tex]D=\sqrt{9}[/tex]

[tex]D=3[/tex]

The parameter (a) is equal to ([tex]D^2[/tex]) are per the format of the equation, thus one must do the following to find the value of (a):

[tex]a = D^2[/tex]

[tex]a=3^3[/tex]

[tex]a = 9[/tex]

Substitute all of the information into the general formula for the equation of a circle, then simplify,

[tex](x-n)^2+(y-m)^2=a[/tex]

[tex](x-4)^2+(y-0)^2=9[/tex]

[tex](x-4)^2+(y)^2=9[/tex]

Answer:

x = 1 và 2       x= 1 and 2

Step-by-step explanation:

Đầu tiên trừ đi 1 để được 2x-3 nhỏ hơn -1 sau đó bạn lập phương trình bằng 2x-3 = -1 và 2x-3 = 1 để nhận được kết quả cuối cùng là 1 và 2 do đó x = 1 và 2

First subtract 1 to get 2x-3 is less then -1 then you let the equation equal 2x-3=-1 and 2x-3=1 to get a final answer of 1 and 2 therefore x=1 and 2

Answer:

C. 5.2 in.

Step-by-step explanation:

Answer:

g(x)= 4x²

The choose (A)

I hope I helped you ^_^

Answer:

-x3+x2+3x+1

Step-by-step explanation:

V(x) + W(x) = -x2 + 2x - 4 + -x3 + 2x2 + x + 5= -x3+x2+3x+1

1.4

2.3

3.7

solution 1

2+2+=4

solution 2

3

if 60 = c,

36 = m and

x is the missing length

c² = x . m

3600 = x . 36

x = 3600/36

x = 100

Answer:

c=65

Step-by-step explanation:

Answer:

c=65

Step-by-step explanation:

c=a2+b2=63

632+162=65

Answer:

135

Step-by-step explanation:

The sum of the interior angles of a pentagon is 540

3x+3x+2x+2x+2x = 540

12x = 540

Divide by 12

12x/12 = 540/12

x = 45

E = 3x = 3*45 = 135

Answer:

135

Step-by-step explanation:

Answer:

(C.

I THINK-

Step-by-step explanation: