1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
cluponka [151]
3 years ago
11

A sales person in a stereo store is given a choice of two different compensation plans. One plan offers a weekly salary of $250

plus a commission of $25 for each stereo sold. The other plan offers no salary but pays $50 commission on each stereo sold. How many stereos must the sales person sell to make the same amount of money under both plans ?
Mathematics
1 answer:
snow_tiger [21]3 years ago
4 0

Answer:

<em>The salesperson needs to sell 10 stereos to make the same money on both plans</em>

Step-by-step explanation:

We'll analyze both choices for the compensation plans of a salesperson.

One plan offers a fixed weekly salary of $250 plus a $25 commission for each stereo sold. The function than models this plan is:

P1=250+25x

Where x is the number of stereos sold.

The other plan offers no fixed salary but a $50 commission on each stereo sold. The function of this plan is:

P2=50x

To find the equilibrium point for both plans, we make P1=P2:

250+25x=50x

Simplifying:

25x=250

Solving:

x = 250 / 25 = 10

The salesperson needs to sell 10 stereos to make the same money on both plans

You might be interested in
In a play-school with 500 students, the number of boys is 20 more than five-sevenths of the number of girls. Let’s find the numb
Arisa [49]

Answer:

Ok, so we can express the boys as another letter. just express them as the letter B for boys.

Step-by-step explanation:

I really don't know why.

8 0
3 years ago
Jane is saving to buy a cell phone. She is given a $100 gift to start and saves $35 a month from her allowance. So after 1 month
Slav-nsk [51]

Yes, it makes sense to represent the relationship between the amount saved and the number of months with one constant rate. The relationship is 35x+ 100.

<h3>Relationship between the amount saved and the number of months</h3>

After 1 month, Jane will  saved=$35+$100

After 1 month, Jane has saved=$135

Hence,

Let x represent  the number of months

Since every month she saved $35 which inturn means that in x number of months she can save 35x. Based on this the relationship between the amount saved and the number of months  is 35x +100.

Therefore it makes sense to represent the relationship between the amount saved and the number of months with one constant rate. The relationship is 35x+ 100.

Learn more about  Relationship between the amount saved and the number of months here:brainly.com/question/13199011

#SPJ1

4 0
1 year ago
What is the approximate volume of a cylinder with a diameter of 12 meters and a height of 7 meters? Use 3.14 for pi.
kkurt [141]
V=\pi r^2 h
r - radius, h - height
The diameter is twice the radius.

d=12 \ m \\&#10;r=\frac{12}{2} \ m = 6 \ m \\&#10;h=7 \ m \\ \\&#10;V=\pi \times 6^2 \times 7=\pi \times 36 \times 7=252 \pi \approx 252 \times 3.14=791.28 \approx 791.3

The answer is c. 791.3 m³.
3 0
3 years ago
Previous studies on sleep tendencies report that, on average, an adult American will sleep for 6 hours each night with a standar
Tom [10]

Answer: One sample z test for means

Step-by-step explanation:

From the information given, the sample size is large. It is greater than 30. Again, the population standard deviation is given. This means that the test statistic would be the z score which is determined by the formula

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = population standard deviation

The probability value would be determined from the normal distribution table.

Therefore, the hypothesis test that should be used is

One sample z test for means

7 0
3 years ago
Solve the inequality x+1&lt;3/4 and write the solution in interval notation.
Darya [45]

The solution to the inequality in interval form is (-∞, -1/4)

<h3>Inequality expressions</h3>

Inequality are expressions not separates by an equal sign. Given the inequality below;

x+1<3/4

Subtract 1 from both sides to have;

x + 1 - 1 < 3/4 - 1

x < 3/4 - 1

x < (3-4)/4

x < -1/4

Hence the solution to the inequality in interval form is (-∞, -1/4)

Learn more on inequality here: brainly.com/question/24372553

#SPJ1

3 0
1 year ago
Other questions:
  • Express the percent as a decimal. { 98% }
    10·2 answers
  • Sandy is observing the velocity of a runner at different times. After one hour, the velocity of the runner is 4 km/h. After two
    9·2 answers
  • chris works as an electrician with the central electric company. he earns $16.25 per hour with time and a half after 40 hours. i
    8·1 answer
  • HEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPP
    5·2 answers
  • Please help <br> multiple choice<br> picture included <br> will appreciate it if you help!
    7·1 answer
  • PLEASE HELP! FOR 10 POINTS. CLASSIFY THE TRIANGLE ON ANGLE AND SIDE LENGTH, WHAT IS THE ANSWER AND HOW CAN I SOLVE IT? SHOW UR W
    10·1 answer
  • PLZ HELP ME WILL MARK BRAINLIST AND 50 points IF THE ANSWER IS CORRECT!!!
    10·1 answer
  • 50 POINTS PLUS BRAINLIEST
    9·2 answers
  • What is the value of x in the diagram?
    13·2 answers
  • WHICH ONE OF THESE NUMBERS IS AN
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!