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
Valentin [98]
3 years ago
13

George has opened a new store and he is monitoring its success closely.

Mathematics
2 answers:
Over [174]3 years ago
4 0

Answer:

(r - c)(4) means "The new store will have a profit of $4500 after its fourth month in business" ⇒ 3rd answer

Step-by-step explanation:

George has opened a new store and he is monitoring its success closely

He has found that:

  • Store’s revenue each month can be modeled by r(x) = x² + 6x + 10 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars
  • His expenses each month can be modeled by c(x) = x² - 4x + 5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars

∵ r(x) = x² + 6x + 10

∵ r(x) is the revenue

∵ c(x) = x² - 4x + 5

∵ c(x) is the expenses

- The profit is the difference between the revenue and the

   expenses

∴ The profit = r(x) - c(x)

∵ r(x) - c(x) can me written as (r - c)(x)

∴ The profit = (r - c)(x)

∴ The profit = (x² + 6x + 10) - (x² - 4x + 5)

- Remember (-)(-) = (+) and (-)(+) = (-)

∴ The profit = x² + 6x + 10 - x² + 4x - 5

- Add the like terms

∴ The profit = (x² - x²) + (6x + 4x) + (10 - 5)

∴ The profit = 10x + 5

∴ (r - c)(x) = 10x + 5

- Substitute x by 4

∵ x = 4 ⇒ 4 months

∴ (r - c)(4) = 10(4) + 5

∴ (r - c)(4) = 45

∵ r and c are in hundred dollars

∴ The profit = $4500

(r - c)(4) means "The new store will have a profit of $4500 after its fourth month in business"

kipiarov [429]3 years ago
4 0

Answer:

The new store will have a profit of $4500 after its fourth month in business.

<em>Here is the correct answer! I just took the test! Good luck!!!</em>

You might be interested in
The Yellow Cab Company charges just $0.25 a mile, but it costs $5 to get in the cab. Express
Verizon [17]
Yellow Cab : y = 0.25x + 5
Express Cab: y = 1.5x
a) Yellow Cab: 1.75 + 5 = 6.75
Express Cab: 1.5 * 7 = 10.5
YELLOW CAB
b) Yellow Cab: 0.75 + 5 = 5.75
Express Cab: 1.5 * 3 = 4.5
EXPRESS CAB
c) 0.25x + 5 = 1.5x
1.25x = 5
x = 4
4 MILES
3 0
3 years ago
Read 2 more answers
If g(x) = 3x − 4, what is the value of g−1(g(13))?
Vsevolod [243]
The function g(x) = 3x-4 is a linear function. Therefore the inverse does exist (which is also linear)

Because we have an inverse, this means we can use the rule 
g^{-1}(g(x)) = x

Replace x with 13
g^{-1}(g(x)) = x
g^{-1}(g(13)) = 13

The answer is choice D

7 0
3 years ago
Read 2 more answers
Can someone help me with questions 1-4
Natalka [10]
1.)
Old Number:35
New Number:45

Now, subract the new number(45) from the old number. (35)

45-35 is 10. Now divide the old number (35) by 10. 
You'll get 3.5. 3.5%, increase is the answer for #1.

2.) Old: s (students)
     New: 36,750

Do 100+5 (Addition because we do not know what the old number is.) 100+5 is 105. Move decimal over twice and you get 1.05. Multiply 36,750 by 1.05.
There were 38,587.5 kids last year.


3.)Since the discount is 15% off, do 100-15=85. Now, move the decimal over from the percent, and that makes that .85. Now multiply 50x.85. You get 42.5, or $42.50. Now the coupon is 10%, So subtract 100-10, giving you 90. Now move the decimal over. .90. Multiply 42.5 (or 42.50) by .90. You get 38.25. You do have enough money.

4.) Subtract 100-15, giving you 85. Move decimal over from percent. .85.
Now you would multiply .85 times k. B should be the answer.

5 0
3 years ago
Read 2 more answers
In a pack of skittles, 27% are red what percentage are not red?
schepotkina [342]

Answer:

12

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Answer please n thank you :)
Norma-Jean [14]

Answer:45

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Find a quadratic equation that passes through the following points.
    5·1 answer
  • Lani is making a cake in the shape of a cone. To make the cake, she uses a cone shape mold. The mold has a diameter of 10 inches
    6·2 answers
  • 2+2 this is for that one guy that answered my question he needs some more points and answers so imma help him out
    5·2 answers
  • What expression is equivalent to -x + 5 - 13 + 12x
    6·1 answer
  • A triangle has sides with lengths of 6 meters, 12 meters, and 16 meters. Is it a right triangle?
    10·1 answer
  • Which of the following are terms in this expression? Select all that apply.
    12·1 answer
  • Pls help me. tyyyyyyyyyyyyyy<br>HAHA sorry for the volume thing in the way
    10·1 answer
  • 6. Find the average rate of change of Pete's height from 3 years
    13·1 answer
  • Need help asap I’m stuck
    11·2 answers
  • Find fractional notation 5.6%
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!