A pharmaceutical salesperson receives a monthly salary of $4700 plus a commission of 2% of sales. Write a linear equation for the salesperson's monthly wage W in terms of monthly sales S.

Answers

Answer 1

Answer:

[tex]W= 4700+0.02S[/tex]

Step-by-step explanation:

Given that

W is the monthly wage

S is the monthly sales

According to the problem statement, salesperson receives a monthly salary of $4700 (sales or no sales made he/she gets that amount)

 

Also plus 2%  commission of sales made for the month added to the wage

we can model his/her wage as follows

[tex]W= 4700+ (2/100)S\\\\ W= 4700+0.02S[/tex]

Hence the model for the monthly wage is [tex]W= 4700+0.02S[/tex]


Related Questions

9=m/3=4 please help!!

Answers

Answer:

Step-by-step explanation:

9 = m/3 + 4

5 = m/3

m = 15

Answer: m=15

Step-by-step explanation:

[tex]9=\frac{m}{3}+4[/tex]

subtract 4 on both sides

[tex]\frac{m}{3}+4-4=9-4[/tex]

[tex]\frac{m}{3}=5[/tex]

multiply 3 on both sides

[tex]\frac{3m}{3}=5\cdot \:3[/tex]

[tex]m=15[/tex]

Help me please
!!!!!!!!!!!!

Answers

Answer:

40

Step-by-step explanation:

Angle Formed by Tangent and Secant = 1/2 (DIFFERENCE of Intercepted Arcs)

< WVT = 1/2 ( WT - UW)

3x+4    = 1/2 (( 14x +7) - (7x+11))

Distribute

3x+4    = 1/2 ( 14x +7 - 7x-11)

Combine like terms

3x+4    = 1/2 ( 7x -4 )

Multiply each side by 2

6x +8 = 7x-4

Subtract 6x from each side

+8 = x-4

Add 4 to each side

12 =x

WVT = 3x+4

        = 3*12 +4

       = 36+4

       = 40

Pranav and Trevon each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Pranav spent $74 on 1 daylily and 9 bunches of
ornamental grass. Trevon spent $114 on 1 daylily and 14 bunches of ornamental grass. What is the cost of one daylily and the cost of one bunch of ornamental grass?

Answers

Answer:

Day lilies and ornamental grass are $2, $8 respectively

Step-by-step explanation:

step one

we need to represent the scenario with a system of equation

let day lilies be represented with x

and ornamental grass be y

Hence we have

[tex]x+9y= 74--------1\\x+14y= 114------2[/tex]

Let us subtract 1 from 2 we have

[tex]x+14y= 114------2\\\\\\ -(x+9y= 74--------1\\=0+5y= 40[/tex]

Dividing both sides by 5 we have

y= 40/5

y= 8

step 2

Substitute y = 8 in equation 1 we have

x+9(8)= 74

x+72= 74

x=74-72

x= 2

Day lilies and ornamental grass are $2, $8 respectively

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 90 9090 kilograms and gained weight at a constant rate. After 8 88 months, he weighed 138 138138 kilograms.

Answers

THIS IS THE COMPLETE QUESTION BELOW;

young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 909090 kilograms and gained weight at a constant rate. After 888 months, he weighed 138138138 kilograms. Let W(t)W(t)W, left parenthesis, t, right parenthesis denote the sumo wrestler's weight WWW (measured in kilograms) as a function of time ttt (measured in months). Write the function's formula.

Answer:

W=6t+90

Step-by-step explanation:

We know that a linear equation in slope takes the form

y= mx+ c

where

m is the slope

c is the y-coordinate of the y-intercept

Let us denote W as the sumo weight in kg then

t as the time in months

Then forming a linear equation from this knowing t is a dependent variable then

W(t)= mt+90

But here we know that is our slope, W was given as 138kg and t is 8 months.

We we substitute this values in the equation we have

138= 8m+90

8m= 138-90

8m=48

m=6kg/month

Therefore, the function formula is W(t)= 6t+90

Jackson has 5 boxes of 3 golf balls. Elsa
gives Jackson 2 more boxes of 3 golf
balls. How many golf balls does Jackson
have now?

Answers

15

five three times is equal to fifteen

What is the perimeter of this polygon?
A(2, 3)
B(-4, 0)
C(0,-4)
D(4,0)​

Answers

Answer:2,3 hope it help you

Step-by-step explanation:

Answer:

21.627

Step-by-step explanation:

get the distance between all points then add

Answer in one decimal places​

Answers

Answer:

ffyjbcjklkkofdfkjjjjj.ghjnn

Answer:

x = 126.9° , x = 306.9°

Step-by-step explanation:

Given

3tanx = - 4 ( divide both sides by 3

tanx = - [tex]\frac{4}{3}[/tex]

Since tanx < 0 then x is in 2nd / 4th quadrants

x = [tex]tan^{-1}[/tex] ([tex]\frac{4}{3}[/tex] ) ≈ 53.1° ← related acute angle

Then

x = 180° - 53.1° = 126.9°

x = 360° - 53.1° = 306.9°

A food company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length of the box has been increased by 30%, the height has been increased by 20%, and the width remains the same.
By what percentage does the volume of the box increase from the regular box to the value box? Round your answer to the nearest percent.

Answers

70% - Rounded Answer

the sum of two numbers is 20,one number is 4 less than the other.find the number

Answers

x-4+x=20


2x=20+4
2x=24
X=12
Number is 12 because 12-4 is 8 and 8+12 is 20
I’ve attached my work
Hope this helps!

How do you write The product of 2 and a cube of a number

Answers

ANSWER IS ATTACHED

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                              PEACE!

Plz help me ASAP plz

Answers

The answer is 3

Explanation
18-15=3

Answer:

3

Step-by-step explanation:

RS = 15 and RT which is the whole line = 18 so we just have to do 18-15 which equals 3. Your answer is 3! So a!


Find the value of x for which the lines p and q are parallel.

Answers

Answer:

7 is the answer..........

Answer:

x = 7 (C)

Step-by-step explanation:

So first we need to be able to know the value of 14x + 18. Which is 116 degrees. This is because it is corresponding to the angle labelled 116 degrees and corresponding angles are equal so:

14x + 18 = 116

14x + 18 - 18 = 116 - 18 Here you collect like terms then the equation will look like this:

14x = 116 - 18 116 - 18 = 98

14x = 98 Divide both sides by 14

14x / 14 = 98 / 14

x = 7 So your answer is 7.

HOPE THIS HELPED

What must be added to each term of the ratio 2:5 so that it maay be equal to 5:6

Please give explanation

Answers

9514 1404 393

Answer:

  13

Step-by-step explanation:

Let n represent that number.

  (2 +n)/(5 +n) = 5/6 . . . . . . . . n is added to numerator and denominator

  6(2 +n) = 5(5 +n) . . . . . . . . . multiply by 5(5+n)

  12 +6n = 25 +5n . . . . . . . . . eliminate parentheses

  n = 13 . . . . . . . . . . . subtract 5n+12

Adding 13 to each term will give 5/6.

__

Check

  (2 +13)/(5 +13) = 15/18 = (3·5)/(3·6) = 5/6

_____

Alternate solution

The difference of denominator and numerator in 2/5 is 5-2 = 3. The difference of denominator and numerator in 5/6 is 6-5 = 1. In order to make the latter difference 3, we must have (3/3)(5/6) = 15/18. We can get 15/18 from 2/5 by adding 13 to numerator and denominator.

an equation uses the symbol

Answers

Answer:

The '=' sign.

Step-by-step explanation:

The equals sign ( = ). for example:

3x + 1 = 8.

The  equals sign was invented by Robert Recorde of Tenby, South Wales, UK in the early part of the 16th century.

Now considering the real world situation are there any restrictions or changes you need to make for your domain or range to fit the situation described above? If so adjust your graph to represent these changes. Considering the real situations above (Question D.)

Answers

Answer:

Ok, we have the function:

y = 2gb*x + 3gb

Where x is the number of streams that you did.

You know that for this function, in a math view, the domain and the range are the set of all real numbers.

(Actually the domain should be integers, but i guess that if you only stream a 0.3534 of a movie and then you quit it, here only consumed 0.3534*2gb, so we can allow x to be a real number)

But in a "real situation", there are some other restrictions:

Restrictions for x:

You can never have a negative value for x (because this has no sense)

So the first restriction is x ≥ 0.

Then, there should be a maximum value of x (you can not stream 4 million things in one month). Or A may be the number of streams that you can watch until you reach the monthly limit of Gbs.

Then the domain is:

0 ≤ x ≤ A.

Now, the minimum of the range is defined by the minimum in the domain:

When x = 0, we have:

y = 2*0 + 3gb

So the minimum value in the range is 3gb.

y ≥ 3gb

And then the maximum value of the range will be when x = A

y = 2Gb*A + 3Gb

3Gb ≤ y ≤ 2Gb*A + 3Gb

A shop sells DVDs and CDs.

DVDs are sold at one price.
CDs are sold at a different price.

2 DVDs and 1 CD cost £35
2 DVDs and 2 CDs cost £45

Martin has £50 Does he have enough to buy 1 DVD and 3 CDs?

Answers

Answer:

Step-by-step explanation:

Lets Price of a DVD is fixed i.e. 15

and One CD price is 5 (Not fixed)

In First situation

2 DVDs and 1 CD cost = 35 as given

2 x 15 + 5 = 35

Lets one CD price is 7.5

In Second situation

2 x 15 + 2 x 7.5 = 45

Its mean CD price may be between 5 to 7.5

In asked scenario, Martin has 50

1 DVD and 3 CDs?

1 x 15 + 3 x 7.5 = 37.5

37.5 is lesser than 50

Hence Martin has enough to buy 1 DVD and 3 CDs.

[tex]x - \frac{3\\}{8} = \frac{13}{2}[/tex]

Answers

X - 3/8 = 13/2

Add 3/8 to both sides:

X = 13/2 + 3/8

Rewrite 13/2 to have 8 as the denominator:

13/2 x 4 = 52/8

X = 52/8 + 3/8

X = 55/8

Answer:

55/8

Step-by-step explanation:

Add 3/8 to both sides

X - 3/8 = 13/2

X = 13/2 + 3/8

make sure the denominators are equal so we can add. so multiply 4/4 by 13/2 and that equals 52/8

X = 52/8+3/8

X= 55/8

¿Qué pasa si el coeficiente del término cuadrático no es 1?

Answers

Answer:

NOT IN MY HOUSE SUNNY

Step-by-step explanation:

Two birds sit at the top of two different trees. The distance between the first bird and a birdwatcher on the ground is 32 feet. The distance between the birdwatcher and the second bird is 45 feet. A triangle is created from point Bird Watcher, point First Bird, and point Second Bird. Angle First Bird is a right angle, and angle Second Bird measures x degrees. What is the angle measure, or angle of depression, between this bird and the birdwatcher? Round your answer to the nearest tenth. 35.4° 44.7° 45.3° 54.6°

Answers

Answer:

Step-by-step explanation:

When you draw out that picture (and very good description, btw!) basically what you have is a right triangle that has a base of 32 and a hypotenuse of 45. The right angle is one of the base angles and x is the vertex angle. We need to find the vertex angle before we can find the angle of depression from the second bird to the watcher. The side of length 32 is opposite the angle x, and 45 is the hypotenuse, so the trig ratio we need is the only one that directly relates side opposite to hypotenuse, which is the sin ratio:

[tex]sin(x)=\frac{32}{45}[/tex] and

sin(x) = .711111111

Go to your calculator and hit the 2nd button then the sin button and on your screen you will see:

[tex]sin^{-1}([/tex]  

and after that open parenthesis enter in your decimal .711111111 and hit equals. You should get an angle of 45.325. That's angle x. But that's not the angle of depression. The angle of depression is the one complementary to angle x.

Angle of depression = 90 - angle x and

Angle of depression = 90 - 45.325 so

Angle of depression = 44.67 or 44.7 degrees.

Answer:

Its 45.3!!!

Step-by-step explanation:

rewrite (y x 6) x 5 using the associative property. ​

Answers

Answer:

y * ( 6*5)

Step-by-step explanation:

(y x 6) x 5

We can change the order of multiplication by changing where the parentheses are placed using the associative property

y * ( 6*5)

Answer:

The answer will be Y*(6*5)

Step-by-step explanation:

this is the answer because while doing the associative property you switch the parenthesis to the different numbers or the other side in this case were 6 and 5

Angle A is circumscribed about circle O. What is the measure of angle O? 46

Answers

Answer:

m<O = 134°

Step-by-step explanation:

OC = OB = radius of the circle

AC = AB = tangents of circle O

m<C = m<B = 90°. (Tangent and a radius always form 90°)

m<A = 46°

Therefore,

m<O = 360° - (m<C + m<B + m<A) => sum of angles in a quadrilateral.

m<O = 360° - (90° + 90° + 46°)

m<O = 360° - 226°

m<O = 134°.

Measure of angle A = 134°

Theresa swims in a pool that is 75 meters long. Everyday Theresa swims ten lengths of the pool. After 5 days, how many kilometers has Theresa swan?

Answers

Answer:

She swam 2 kilometers

Step-by-step explanation:

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Answers

Answer:

come fast in English classhshshshdhhhdhhshdhdbb

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Answer:

jsjsjsisiwjwjsu8shdhsusuwhsguw81819w8uehr

Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&5x-2+x&=x-4 \\\\ B.&&5x+x&=x-4 \end{aligned} A. B. ​ ​ 5x−2+x 5x+x ​ =x−4 =x−4 ​ 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Add/subtract a quantity to/from only one side (Choice B) B Add/subtract the same quantity to/from both sides (Choice C) C Rewrite one side (or both) using the distributive property (Choice D) D Rewrite one side (or both) by combining like terms 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No

Answers

Answer:

1) A. Add/subtract a quantity to/from only one side  

2) B. No

Step-by-step explanation:

Question (rewritten)

Answer two questions about Equations A and B:  

A. 5x-2+x = x-4   B. 5x+x = x-4  

1) How can we get Equation B from Equation A?

A. Add/subtract a quantity to/from only one side  B. Add/subtract the same quantity to/from both sides  C. Rewrite one side (or both) using the distributive property  D. Rewrite one side (or both) by combining like terms  

2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?  

A. Yes  B. No

=================================

Solution

1) As we see left sides of the equations are different but right sides are same.

To make them equal we need to remove the difference.

Equation A. 5x -2 +x = x -4 Equation B. 5x + x = x- 4

We need to add 2 to the left side of equation A to get Equation B.

The answer choice for this case is:

A. Add/subtract a quantity to/from only one side  

2) Since the equations are not same, they will have different solutions.

Answer choice is:

B. No

Equivalent equations are equations that have the same value.

Add/subtract a quantity to/from only one side to get equation B from ABoth equations are not equivalent

The equations are given as:

[tex]A:\ 5x-2+x = x-4[/tex]

[tex]B: 5x+x = x-4[/tex]

(a) How to get equation (B) from (A)

By comparing equations (A) and (B), we have the following observations

The right-hand side of both equations are the sameThe difference between the left-hand side of the equations is -2.

This means that, only the left-hand side of equation A will be altered to get equation B.

Hence, the solution is:

A. Add/subtract a quantity to/from only one side

(b) Are they equivalent?

No, they are not.

This is so, because only one side of equation A is altered to get equation B.

Read more about equivalent equations at:

https://brainly.com/question/10541844

find 5 rational numbers between -3 and -4

Answers

Answer:

-3.2, -3.4, -3.6, -3.8, -3.9

Step-by-step explanation:

Hey there!

Well rational numbers can be a decimal as long as it can be turned into a fraction, meaning 3.5 is a rational number.

So rational numbers between -3 and -4 are,

-3.2, -3.4, -3.6, -3.8, -3.9

Hope this helps :)

For example:

-3.5

-3.0040012

-3.(91)

-3.70(77)

-15/4

Answer ASAP please, Will give brainliest.

Answers

Answer:

see below

Step-by-step explanation:

The measure of a minor arc is the same as the angle that forms it.

1. Since ∠GBJ = 90°, the answer is 90°.

2. ∠HBI = 180° - 151° = 29° so the answer is 29°.

3. ∠HBJ = 180° so the answer is 180°.

4. The reflex angle ∠GBI = 90 + 151 = 241° so the answer is 241°/

5. Since ∠GBJ = 90°, the reflex angle ∠GBJ = 360 - 90 = 270° so the answer is 270°.

6. ∠GBH = 180 - 90 = 90° so the reflex angle ∠GBH = 360 - 90 = 270° so the answer is 270°.

Find the missing part.

Answers

Answer:

x=2*root(41) or x=root(164)

Step-by-step explanation:

By using Pythagoras theorem, we have 8^2+10^2=x^2. 164=x^2, x=2*root(41)

Find y round to the nearest tenth

Answers

The answer is Y = 27.8

Y is 27.8

Just trust me please :)

Teenagers tend to ride skateboards and bicycles is order to get around the town.the probability of a teenager owning a skateboard is 0.37, of owning a bicycle is 0.81 and of owning both is 0.36. If a teenager is chosen at random, the probability that the teenager owns a skateboard or a bicycle is

Answers

Answer:  0.82

Step-by-step explanation:

Given : P(own skateboard) =0.37

P( own bicycle) =0.81

P(own skateboard and bicycle) = 0.36

Since, P(A or B) =P(A)+P(B)-P(A and B)

So, P(own skateboard or  bicycle) = P(own skateboard) + P( own bicycle)-P(own skateboard and bicycle)

= 0.37 + 0.81 -  0.36

= 0.82

Hence, the probability that the teenager owns a skateboard or a bicycle is  0.82.

I need help with this please.

Answers

Answer:

the slope is 60

Step-by-step explanation:

the slope is the number multiplying the x value, or t in this case.

Answer:

The slope is 60, and create the graph by dragging one point to (0,0) and one point to (1,60).

Step-by-step explanation:

If we have the proportional relationship [tex]d=60t[/tex], then the slope will be what we multiply t by to get d, therefore the slope is 60.

Since there is no y-intercept, the line WILL pass through the origin (0,0), so a point goes there.

If we make t 1, then d will be at point (1,60) because  [tex]60\cdot1=60[/tex].

Hope this helped!

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