The commission rate paid to a manufacturer's rep varies according to the type of equipment sold. If his monthly statement showed $124,600 in sales, and his total commission was $4438,what was his average rate of commission to the nearest tenth of a percent?

Answer:

Explanation is written below.

Step-by-step explanation:

                                                1)

Given the line

[tex]y = -4x + 8[/tex]

Comparing with the slope-intercept form of the line equation

[tex]y=mx+b[/tex]    

Where m is the slope and b is the y-intercept

So, the slope of the line = m = -4

Thus, the equation of the line that is parallel to y = -4x + 8 and passes through the point (5, 1), using point slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]  

Here, m is the slope and (x₁, y₁) is the point

substituting the values m = -4 and the point (5, 1)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

y-1 = -4 (x - 5)

y-1 = -4x+20

y = -4x+20+1

y = -4x + 21

                                                    2)

Given the equation

[tex]y = -4x + 8[/tex]

Comparing with the slope-intercept form of the line equation

[tex]y=mx+b[/tex]    

Where m is the slope and b is the y-intercept

So, the slope of the line = m = -4

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: 1/4

Thus, an equation of the line that is perpendicular to y = -4x + 8 and passes through the point (5,1), using point slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]  

Here, m is the slope and (x₁, y₁) is the point

substituting the values m = 1/4 and the point (5, 1)

[tex]y-1\:=\:\frac{1}{4}\:\left(x\:-\:5\right)[/tex]

Add 1 to both sides

[tex]y-1+1=\frac{1}{4}\left(x-5\right)+1[/tex]

[tex]y=\frac{1}{4}x-\frac{1}{4}[/tex]

Answer:

See the work below.

Step-by-step explanation:

First, find the slope.

y2-y1/x2-x1

-4--4/5-0 = 0/5

Slope is 0

Use point-slope form.

y-y1=m(x-x1)

y+4=0(0-0)

y+4=0+0

y=-4

Step-by-step explanation:

1) 19+i

2) 9-3i

hope this helps bro

Answer:

1. 19

2. 9 + 11i

Step-by-step explanation:

first problem:

first, we rewrite it and remove the parentheses.

12 - 3i + 7 + 3i

then, just remove the opposites and calculate.

19

second problem:

again, we rewrite and remove the parentheses.

12 + 4i - 3 + 7i

then, we calculate and collect like terms.

9 + 11i

Answer:

m=15

Step-by-step explanation:

Answer:

1 5

Step-by-step explanation:

Answer: 72=6c+10b

Step-by-step explanation:

If you have a system of two equations with two unknowns and the two lines intersect on the graph, the system has one solution which is the point of intersection.

An equation is an expression that shows the relationship between two or more numbers and variables.

If you have a system of two equations with two unknowns and the two lines intersect on the graph, the system has one solution which is the point of intersection.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ2

Answer: no solution

Step-by-step explanation:

Answer:

Chart B

Step-by-step explanation:

you go out .25 on the x axis and down 1.75

Answer:

im pretty sure it's a

Step-by-step explanation:

im literally doing that question

Answer:

A

Step-by-step explanation:

5.5 x 2050 = 11,275

Answer:

∠D = 60

∠E = 99; x = 4

x = 32

Step-by-step explanation:

First things first, the sum of angles in a quadrilateral is 360°.

∠D + 120 + 95 + 85 = 360

∠D = 360 - 120 - 95 - 85

∠D = 60

∠E + 86 + 100 + 75 = 360

∠E = 360 - 86 - 100 - 75

∠E = 99

24x + 3 = 99

24x = 99 - 3

      = 96

x = 96 ÷ 24

x = 4

89 + 5x - 8 + 51 + 3x + 4 = 360

7x + 136 = 360

7x = 360 - 136

    = 224

x = 224 ÷ 7

x = 32

Answer:

It is not in control  because at least two of the  of the data points are more than 2 standard deviations from the mean are far apart.

18.3,18.4 > 18.2 Upper Control limit

14.9, > 15.4 Lower Control Limit

Step-by-step explanation:

Find the limits using μ ± 3σ  and μ ± 2σ

Using μ ± 3σ

Upper Control Limit = μ +  3σ = 16.8 + 3(0.7)= 16.8 + 2.1= 18.9

Lower Control Limit = μ - 3σ =16.8 - 3(0.7)= 16.8 - 2.1= 14.7

Using μ ± 2σ

Upper Control Limit = μ +  2σ = 16.8 + 2(0.7)= 16.8 + 1.4= 18.2

Lower Control Limit = μ - 2σ =16.8 - 2(0.7)= 16.8 - 1.4= 15.4

The data points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 18.4.

Rearranging these data points   14.9, 16.1, 16.5, 17.3, 17.4, 18.3,18.4.

We see from the above that it is out of control because the values jump above and below the mean.

It is not in control as two of the  of the data points are more than 2 standard deviations from the mean are far apart.

Answer:

The pair that performs second are Orville and Nancy.

Step-by-step explanation:

Since Jack and Leslie are partners and that they appear before Kelly, it is safe to assume that this pair may come first beforehand in which Orville also comes on before Kelly.  Nancy also appears before Leslie and since each pair has a female and a male, it is safe to assume that Orville and Nancy perform second while Jack and Leslie perform first and Kelly and Marty perform last.

Use properties of Logarithms to simplify the limit:

[tex]\lim_{x \to \0^+}[/tex]e^3/x(e^x+x)

Move the limit to the exponent:

e^x[tex]\lim_{x \to \0^+}[/tex]3/xln(e^x+x)

Rewrite as:

e^x[tex]\lim_{x \to \0^+}[/tex]3ln(e^x+x)/x

Move 3 outside the limit and applay L'hospitals rules to get the final answer e^6

Where are the rectangles????

it will help with everything better if you go on

Answer:

your answer is 2!

Step-by-step explanation:

you have to make it an improper fraction once you do you get 2!

brainliest please>

Answer:

2

Step-by-step explanation:

8/10 = 0.8

5/2 = 2.5

0.8 x 2.5 = 2

Answer:

c

because i just did the test

Answer:

Angle 5 and angle 6 are supplementary angles

Step-by-step explanation:

Angle 5 and 6 are both supplementary angles because angle 6 and 5 are linear pairs

Answer:

Savings

Step-by-step explanation:

I do my own banking that's why I know this

Answer:

A

Step-by-step explanation:

square root(2) times square root(18)

is square root(36)

which is 6, a rational number

Answer:

Your answer would be A

√2 × √18

Step-by-step explanation:

√2 × √18 = 6

That's rational number

hope it helps!

Answer:

c cuz a is misleading, b is misleading too as house e value is an outlier. so answer is c

Answer:

Number 16 is C and number 17 is D

Step-by-step explanation:

Can I get my points love these kind of questions

??????????????????? I do not understand I do not understand I do not understand

Answer:

B. must undergo a logarithmic transformation before undergoing logistic regression.

Step-by-step explanation:

A logistic regression model allows us to establish a relationship between a binary outcome variable and a group of predictor variables. It models the logit-transformed probability as a linear relationship with the predictor variables.

Answer:

Negative Nine and Nine Hundred Thirty-Eight Thousandths

Step-by-step explanation:

Answer: i believe its the last answer

Step-by-step explanation:

Because in decimals theres tens place, 100s place, 1000s place, etc. going from left to right after the decimal point which is the "and" in the statement. In this decimal theres only 3 numbers after the decimal point so that means to goes to the 1000s place.

Answer:

θ = cos-1 (38/47)

Step-by-step explanation:

sin θ = [tex]\frac{opposite}{hypotenuse} = \frac{27}{47}\\[/tex]

θ = sin-1 (27/47)

cos θ = [tex]\frac{adjacent}{hypotenuse} = \frac{38}{47}[/tex]

θ = cos-1 (38/47)

tan θ = [tex]\frac{opposite}{adjacent} = \frac{27}{38}[/tex]

θ = tan-1 (27/38)

Answer:

5

Step-by-step explanation:

.......................

Answer:

Correct choice: a. k = 13.5; xy = 13.5

Step-by-step explanation:

Inverse Proportion

Two variables x and y are in inverse proportion or variation if:

[tex]\displaystyle y=\frac{k}{x}[/tex]

Where k is the constant of proportionality

Since we know that y=4.5 when x=3:

[tex]\displaystyle 4.5=\frac{k}{3}[/tex]

Solving for k:

[tex]k = 4.5*3 = 13.5[/tex]

Thus the equation is:

[tex]\displaystyle y=\frac{13.5}{x}[/tex]

Or, equivalently:

[tex]xy = 13.5[/tex]

Correct choice: a. k = 13.5; xy = 13.5