A membership sales person at a gym is given a choice of two different compensation plans. One plan offers a weekly salary of $300 plus a commision of $15 for each membership sold. The other plan offers no salary but pays $30 commission on each membership sold. How many memberships must the salesperson sell to make the same amount of money under both plans? FAST PLS

Answers

Answer 1

Answer: The salesperson must sell 20 memberships to make the same amount of money under both plans.

Step-by-step explanation:

Let x be the number of memberships.

In first plan,

Weekly salary of $300 plus a commission of $15 for each membership sold.

i.e. Earning (weekly) = 300+15x

In second plan,

The other plan offers no salary but pays $30 commission on each membership sold.

i.e. earning = 30x

According to the question, when [tex]300+15x=30x[/tex]

[tex]\Rightarrow\ 300=30x-15x\\\\\Rightarrow\ 300=15x\\\\\Rightarrow\ x=\dfrac{300}{15}\\\\\Rightarrow\ x=20[/tex]

Hence, the salesperson must sell 20 memberships to make the same amount of money under both plans.


Related Questions

could someone please give me the correct answer? id appreciate it

Answers

Answer: A = 198.6cm²

Step-by-step explanation: The figure includes two semi circles on both ends. These can be solved as a whole circle with a diameter of 10cm because each semi circle is 5cm.

r = 10/2= 5cm

Area of circle:

A = πr²

A = 3.142*5²

A = 3.142*25

A = 78.55

A = 78.6cm²

The remaining section of the shape is a rectangle with a length of 12cm.

To get this, you subtract 10 from 22 because each semi circle is 5cm which adds up to 10cm.

The rectangle has a width of 10cm.

Area of rectangle:

A = lw

A = 12*10 = 120cm²

The total area of the shape:

A = 120 + 78.6

A = 198.6cm²

PLS HELP!!

Select all the correct answers

Youre given two side lengths of 3 centimeters and 5 centimeters, which measurement can you use for the length of the third side to construct a
valled triangle?

8 cm
6 cm
4 cm
10 cm
2 cm

Answers

You can use 10 and 8

Answer:  10

Step-by-step explanation:

What is the volume of the prism?

Answers

Answer:

Your answer is 13 1/8

Step-by-step explanation:

V = lwh

V = 1 1/2 x 3 1/2 x 2 1/2

V = 13 1/8

Two semicircles are used to make the shaded shape below.

One semicircle has a diameter of 12 cm and the other has a diameter of 20 cm.

-20 cm-

•12 cm-


Work out the perimeter of the shaded shape.

Answers

Answer:

100.53 cm

Step-by-step explanation:

1) Divide the diameter by 2 to find the radius. (20/2 & 12/2)

2) Multiply 2 times pi times the radius. (2*pi*10 & 2*pi*6)

3) Add the two products together to find the perimeter. (62.83+37.7=100.53cm)

I hope this helps

3. Choose the expressions that do not represent the total area of the recit
5t+4t
t+5+4
9t
4x5xt
1(5+4)

Answers

Answer:

t+5+4

4x5xt

1(5+4)

Step-by-step explanation:

Area of the rectangle = 5t + 4t = 9t

Use the quadratic formula to solve x^2-6x=-7. Show your work. Then describe the solution.
(Please help!)

Answers

Answer: The solutions are x = 3+sqrt(2), and x = 3-sqrt(2). The quadratic equation has two solutions because it has a positive discriminant.

Step-by-step explanation:

Using the quadratic formula, we have: 6+-sqrt(8)/2, which become 3+-sqrt(2).

I will give brainliest

Question:
How is solving -7y > 161 is different from solving 7y > -161.

Answers

Answer:

Because the second one is diffrent.

Step-by-step explanation:

Answer:

because one of the numbers is a negative unlike the other

Step-by-step explanation:

PLEASEEEE HELP


Select the letter of the correct answer.


Suppose this Article could have a different title. The best one would be


A G-0-0-0-al! Youth Soccer Player Scores for Trees


B


Water Warrior Demands Action From World Leaders


с


Do Something! Global Climate Protests Encourage Youth Activism


Youth Activists Take Action to Help Heal the Planet

Answers

Answer:

C

Step-by-step explanation:

Do something global climate protest encourage youth activism

Jacobs school is selling tickets to a fall musical. First day of ticket sales the school sold 28 tickets. If adult tickets cost $8 each and child tickets cost $5, how many adult and child tickets were sold? Total ticket sales: $176

Answers

Answer:
12 adult tickets, 16 child tickets

Step-by-step explanation:

x is the amount of adult tickets
y is the amount of child tickets
----------------------------------------------------------

lets make 2 equations:
1)    x + y = 28
2)   8x + 5y = 176
----------------------------------------------------------

now we can substitute either x or y into the second equation so that we only have to deal with one variable at once.

x + y = 28
subtract y from each side:
x + y - y = 28 - y
which gives you:
x = 28 - y
-------------------------------------------------------

Then we plug that into the second equation, which will give us:

8(28 - y) + 5y = 176

now you want to expand 8(28 - y), so you use the distributive property.

8(28 - y) = 8*28 - 8*y = 224 - 8y

now that we have solved that, plug it back into the equation:

224 - 8y + 5y = 176

subtract 224 from each side:

224 - 8y + 5y - 224 = 176 -224

which gives us:
-3y = -48

now if you multiply each side by ( -1 ) you get:
3y = 48

now divide both sides by 3 and you get:
y = 48 / 3

48 / 3 is 16

y = 16
-------------------------------------------------------------------------------

now plug y = 16 into equation 1

equation 1 was x + y = 28

plug 16 in for y which gives us:

x + 16 = 28

subtract 16 from both sides

x + 16 - 16 = 28 - 16

Which finally gives us
x = 12
---------------------------------------------------------------------------------

Remember:
x is the amount of adult tickets
y is the amount of child tickets

x = 12 means that 12 adult tickets were sold
y = 16 means that 16 child tickets were sold
----------------------------------------------------------------------------------

if my answer is not correct, please reach out to me :)

Marcel and Floyd are playing games at an arcade. Marcel has $8.25 and is only playing $0.25 games. Floyd has $9.75 and is only playing $0.75 games. Jorge wants to find the number of games after which Marcel and Floyd will have the same amount of money remaining. Jorge's work is shown below.

Answers

Given that,

Marcel has $8.25 and is only playing $0.25 games. Floyd has $9.75 and is only playing $0.75 games.

Jorge wants to find the number of games after which Marcel and Floyd will have the same amount of money remaining.

The attached figure shows the equation that Jorge had :

8.25-0.25x=9.75-0.75x

Subtract 9.75 to both sides

8.25-0.25x-9.75=9.75-0.75x-9.75

-1.5-0.25x=-0.75x

Add 0.25x to the both sides,

-1.5-0.25x+0.25x=-0.75x+0.25x

-1.5=-0.5x

⇒ x = 3

Jorge is incorrect at step 2 where he taken -0.25x to the RHS such that -0.75x+0.25x, he get 0.5x instead of (-0.5x). Hence, From Step 1 to Step 2, Jorge did not add 0.25x correctly to both sides.

Answer: the answer is B

Step-by-step explanation: I took the quiz on edgunity(ik i spelled it wrong-) and got this question right.

PLEASE HELP MEEEEEEEEE

Answers

Answer:

Time: 3 & 9

Distance: 21

*Keep an eye out for a pattern

The measure of an angle is 40.5º. What is the measure of its complementary angle?​

Answers

Answer:

49.5 degrees

Step-by-step explanation:

A complementary angle means that two angles add up to 90 degrees. So, all we do is 90 - 40.5 = 49.5 degrees.

Hope this helps. Peace, man!

Help me!
Marck is 3 years older than his step sister and she is 3 years old. Hold much older is Marck?

Answers

Answer:

Uhhhh are you sure this is high school level?

Step-by-step explanation: “Marck is 3 years older” “how much older is Marck?” “3”

marck is 6 years old


explanation: his sister is 3 years old, if he’s three years old are you do 3+3 and that equals six

How much profit does the company make from producing and selling four soccer nets? $51 $80 $109 $137.

Answers

The  profit does the company make from producing and selling four soccer nets is $109, the correct option is C.

What is profit?

Profit is a financial benefit that is realized when the amount of revenue gained from a business activity.

Given

|Soccer nets per day | Total Cost | Total Revenue |

| 1 | 7$ | $30 |

| 2 | 9$ | $60 |

| 3 | 10$ | $90 |

| 4 | 11$ | $120 |

| 5 | 13$ | $150 |

The total cost in the four soccer = $11

The total revenue in the four soccer = $120

The profit does the company make from producing and selling four soccer nets is;

[tex]\rm Profit = Total \ revenue -Total \ cost\\\\Profit= 120-11\\\\Profit = 109[/tex]

Hence, the  profit does the company make from producing and selling four soccer nets is $109.

To know more about profit click the link given below.

https://brainly.com/question/6402318

Find the y-intercept of 2x - 3y = 6

Answers

Answer:

(0, - 2)

Step-by-step explanation:

The y-intercept is the value of y when x = 0. Substitute 0 for x in the equation and solve for y.

[tex]2x - 3y = 6[/tex]

[tex]2(0) - 3y = 6[/tex]

[tex] - 3y = 6[/tex]

[tex] \frac{ - 3y}{ - 3} = \frac{6}{ - 3} [/tex]

[tex]y = - 2[/tex]

When x = 0, y = - 2.

Find the amount owed:
$12,460 loan at 5.6% interest for 30 months

Answers

Ending balance:$10,613.15
Total interest paid:$1,615.96
Total payments:$3,462.81

1. Mrs. Galicia is building a chicken farm in 2021 with an initial population of 3750 chickens. The farm grows at a rate of 2.15% annually. (a) Use the exponential growth model to write an equation that estimates the population t years after 2021. (b) Estimate the population of the town in 2036.
show plug in step before using calculator Answer:

Answers

The population of the chicken after 15 years in 2036 will be 5177.

What is an exponential growth model?

The exponential growth model is given by the equation, [tex]y=y_oe^{rt}[/tex], where y is the population after t years, y₀ is the initial population, r is the rate of growth, and t is the time.

As it is given that the initial chicken population in the year 2021 is 3750, while the rate at which the population is increasing is 2.15% annually.

A.) The exponential growth model to write an equation that estimates the population t years after 2021.

The exponential growth model can be written as,

[tex]y=y_oe^{rt}\\\\y=3750e^{0.0215t}[/tex]

B.) The population of the town in 2036,

As the population is increasing for the next 15 years(2036-2021). Therefore, The population of the town in 2036 can be written as,

[tex]y=3750e^{0.0215t}\\\\y=3750e^{0.0215\times 15}\\\\y= 5177.1558\approx 5177[/tex]

Hence, the population of the chicken after 15 years in 2036 will be 5177.

Learn more about Exponential growth model:

https://brainly.com/question/13223520

The line L passes through the points (1,2) and (-4,-4)
Find the gradient of line L

Answers

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-4}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{1}}}\implies \cfrac{-6}{-5}\implies \cfrac{6}{5}[/tex]

In ΔUVW, v = 63 cm, w = 49 cm and ∠U=161°. Find the area of ΔUVW, to the nearest square centimeter.

Answers

The area of the triangle UVW is the amount of space on the triangle

The area of the triangle UVW is 503 square centimeters

How to determine the area of the triangle

The given parameters are:

v = 63 cm, w = 49 cm and ∠U=161°

The area of the triangle is then calculated as:

[tex]Area = \frac12 vw \sin(U)[/tex]

So, we have:

[tex]Area = \frac12 * 63 * 49 * \sin(161)[/tex]

Evaluate the product

[tex]Area = 503[/tex]

Hence, the area of the triangle UVW is 503 square centimeters

Read more about area at:

https://brainly.com/question/10090807

HELP!
What value of p makes the equation true?

Answers

The answer is 6 I think

Find m ABC.
A
94°
D
С
B
108°

Answers

Answer: 79 degrees

Step-by-step explanation:

Answer:

79°

Step-by-step explanation:

Que pase por el punto ( 2 , 3 ) y es perpendicular a la recta x − 4 y + 1 = 0

Answers

Answer:

y = -4x+11

Step-by-step explanation:

x − 4 y + 1 = 0

x+1 = 4y

4y = x+1

y = 1/4x+1/4

pendiente de una recta perpendicular es el recíproco negativo

negative reciprocal 1/4x is -4x

y = -4x+1/4

Con la nueva pendiente, use la forma de intersección de la pendiente y el punto para calcular la intersección usando (2,3) :

y = mx + b or y = -4x+b

3 = -4(2) + b

3 = -8 + b

11 = b

b = 11

y = -4x+11

varsitytutorscomactmathhelphowtofindtheequationofaperpendicularline

The president of the math club is conducting a survey to see where the twelfth-grade class wants to go on their field trip. Instead of asking the whole class, she surveys only the twelfth-grade members of the math club. She records their choices and plans to present the results to the school principal. What type of sampling did she use? systematic random sampling simple random sampling stratified sampling convenience sampling.

Answers

The type of sampling that the teacher used is of the type: Option D: Convenience sampling

What is simple random sampling?

If the sampling is done from the population randomly, without any other rule, then such sampling is called simple random sampling. Items are selected in a fixed size, all randomly.

What is stratified sampling?

Sampling which is done by taking the main population divided in categories(called strata), then such sampling from stratas (sub-parts of the population) is called stratified sampling.

What is systematic random sampling?

In this type of sampling, starting of the sampling is done randomly, but then rest of the samples are collected by an order. Like for example, first point is selected randomly, then all points are selected that they are equidistant from each other in the population.

What is convenience sampling?

The word "convenience" summarizes this sampling. It is done in a way that those values from population are sampled which are in convenience with the researcher. Like if some random picking is to be done from beads spread on the ground, then the researcher picking those beads which are closer to him.

So, the math teacher took the sample from a specific part of the whole twelfth class. That's a strata. But sampling was done "only" from 1 strata, which is useless as field trip's data should be taken from other parts of the population too where students might be interested to go for field trip. Thus, its a wrong method of sampling.

That's more of like convenience sampling instead of stratified, where the teacher preferred convenience instead of proper sampling (as the sampling she did is not showing any proper ideology that she might've followed).

Thus, the type of sampling that the teacher used is of the type: Option D: Convenience sampling

Learn more about sampling techniques here:

https://brainly.com/question/24842573

Answer:

D. Convenience sampling

Step-by-step explanation:

2022

Alex is buying a watch that costs $39. He lives in a state that adds a 5.5% sales tax to non-food purchases. Watches are not food, so he will be paying the tax.

Answers

Answer:

About 2.15

Step-by-step explanation:

You can do5.5/100 x 39 to get this.

5.5 divided by 100 is 550, times 39 is 2.145, round it to get 2.15

(So add 2 dollars 15 cents to $39 :D)

Helppppp! What is a cube root?

a
a number which produces a specified quantity when multiplied by itself.
b
A 6 sided shape
c
a quadrilateral with a line of symmetry bisecting one pair of opposite sides
d
a special value that, when used in a multiplication three times, gives that number.

Answers

Answer:

your answer is d. - A special value that when used in a multiplication three times gives that number

Step-by-step explanation:

Hope this helps you

Do mark me as brainliest

Which of the following is equal to -11?

Answers

Answer:

-11

(-11)

-10 + -1

-9 + -2

-8 + -3

-7 + -4

Answer:

(3*(47/53*69^4)^(3/3)×x⁵/(9-56)/x)×0 - 11 = -11

im smart....

Equilateral triangle ABC is inscribed in circle X. What is the measure of arc CB?

Answers

Answer: 120 degrees

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

Explanation:

An equilateral triangle has three sides of the same length, which in turn means that the curved arc pieces AB, BC and AC are the same length (but longer than each side of the triangle).

Furthermore, it leads to the fact that we split a 360 degree circle into three equal portions of 360/3 = 120 degrees each.

Imagine we drew in the line segments AX, BX, and CX. This splits the circle into 3 equal pie slices. Central angle BXC is 120 degrees because of the earlier calculation done before.

Helpppp ASAPS i need your help i give brainlist to the correct answer​​

Answers

Answer:

AD = 9

Step-by-step explanation:

Using Pythagoras' identity in right triangle ABD , then

AD² + BD² = AB² , substitute values

AD² + 12² = 15²

AD² + 144 = 225  ( subtract 144 from both sides )

AD² = 81 ( take square root of both sides )

AD = [tex]\sqrt{81}[/tex] = 9

Please can anyone help me with this

Answers

1. A,B,D
2. D
Hoped that help!
A- is a function, is cuz there are no repeats of X values.

B-is a function, There are not 2 dots when the vertical line test is done

C- is not because it has 9 as -7 and 0 and that is not a function because it repeats.

D- it is a function, cuz it passes the vertical line test

2. Its D because it does not pass the vertical line test.

Find the radius. Show your work.

Answers

Answer:

Step-by-step explanation:

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