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
Anvisha [2.4K]
3 years ago
6

A nightclub has approximated the demand for their Thursday night drink special by p^2+200q^2=177​, where p is the price​ (in dol

lars) and q is the quantity demanded​ (in thousands). Find and interpret when the price is ​$ 7 and the demand is 800 drinks.
Mathematics
1 answer:
Irina18 [472]3 years ago
8 0

Answer:

Step-by-step explanation:

Given the approximate demand function of night drink expressed as;

p^2+200q^2=177​,

p is the price​ (in dollars) and;

q is the quantity demanded​ (in thousands).

Given

p = $7

q = 800

Required

dq/dp

Differentiating the function implicitly with respect to p shown;

2p + 400d dq/dp = 0

400q dq/dp = -2p

200qdq/dp = -p

dq/dp = -p/100q

substitute p and q into the resulting equation;

dq/dp = -7/100(800)

dq/dp = -7/80000

dq/dp = -0.0000875

This means that the rate of change of quantity demanded with respect to the price is  -0.0000875

You might be interested in
Solve for x: -9 = 2x - 5 help plsss
Degger [83]

Answer:

x = -2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Choose the correct description of the graph of the compound inequality:
Ainat [17]
First, let's solve the inequality:
<span>x - 3 < -9
//add 3 to both sides: 
x<-6



the second inequality: 
x + 5 ≥ 10</span> 
//substract 5 from both sides: 
<span>x ≥ 5

So we need to map:
</span>
<span>x<-6
</span><span>x ≥ 5

Now, shading will be to the leftof -6 and to the right of 5 - this is compatible with answers A and B. 

A closed circle means that the number is included, so the correct answer is A!</span>
8 0
3 years ago
The following data points represent the volume
svetoff [14.1K]

Answer:

The missing volume of gas is 6 liters

Step-by-step explanation:

The following data points represent the volume  of gas in each race car driver's tank (in liters):

4,5, 13, ?

Let the missing value be x

Data : 4,5,13,x

Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}

7 = \frac{4+5+13+x}{4}

7 \times 4=4+5+13+x

28=22+x

28-22=x

6=x

Hence The missing volume of gas is 6 liters

3 0
3 years ago
Read 2 more answers
PLS HELP ASAP!!!!!!!!!!!!!!
Likurg_2 [28]
The IQR is the difference between Q3 and Q1.
First we need to get the data from the stem and leaf plot:
10, 23, 23, 28,]   [33, 45, 80, 90
Since there are 8 data items Q1 would be the median of the lower half (4 items), both are 23 so Q1 is 23.
Q3 is the median of the upper half, since the middle numbers are not the same we need to average 45 and 80. (45 + 80)/2 = 62.5 so Q3 = 62.5
IQR = 62.5 - 23 = 39.5

7 0
3 years ago
Please answer immediately.​
salantis [7]

1. Angle L

2. A

3. Side PL

4. Side AR

5. A and K

6. B

7. Side Br

8. A

9. T

10. TA

4 0
3 years ago
Other questions:
  • At a candy store you could get 4 giant lollipops for $7.04. How much would it cost to buy 2 lollipops?
    13·2 answers
  • 14
    14·1 answer
  • The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th
    6·1 answer
  • There are 180 students in the Theater Club at Jedi High School. Of these students, 117 are planning on attending the midnight sh
    7·1 answer
  • A store purchased a DVD for $15.00 and sold it to a customer for 50% more than the purchase price. The customer was then charged
    9·1 answer
  • I need help with number 6
    8·1 answer
  • The surface area of a regular triangular pyramid is 197.1 square meter. The slant height is 12. The area of the base is 35.1 squ
    5·2 answers
  • How do I solve this problem?
    15·1 answer
  • 9497 divided by 16 with a remader
    7·2 answers
  • Using the table, if there are 5 flowers, how many petals are there?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!