answer.
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
insens350 [35]
1 year ago
13

Photon Lighting Company determines that the supply and demand functions for its most popular lamp are as follows: S(p) = 400 - 4

p + 0.00002p4 and D(p) = 2,800 - 0.0012p3, where p is the price. Determine the price for which the supply equals the demand.
Mathematics
2 answers:
Alinara [238K]1 year ago
8 0
S(p)=D(p)
400-4p+0.00002p4=2,800-0.0012p3
Solve for p
P=96.24
frosja888 [35]1 year ago
8 0

Answer:

<h2>When the price is approximately $92.35, the demand and supply are equal.</h2>

Step-by-step explanation:

The given functions are

S(p)=400-4p+0.00002p^{4}\\ D(p)=2800-0.0012p^{3}

Where S(p) represents the supply, D(p) represents the demand and p the price.

So, to determine the price for which the supply equals the demand, we just need to use the given functions as,

S(p)=D(p)\\400-4p+0.00002p^{4}=2800-0.0012p^{3}

Then, we solve for p

400-4p+0.00002p^{4}=2800-0.0012p^{3}\\400-4p+0.00002p^{4}-2800+0.0012p^{3}=0\\0.00002p^{4}+0.0012p^{3}-2400=0

So, using a calculator, we have

p\approx 92.35\\p\approx -123.58

However, only the positive solution make sense to this problem, because we are looking for the price.

Therefore, when the price is approximately $92.35, the demand and supply are equal.

You might be interested in
Learning Task 4. Multiply each of the following. Use cancellation method
astra-53 [7]

Answer:

1) 2/7

2) 8/11

3) 3/2 or 1 1/2

4) 32/35

Step-by-step explanation:

1.5/7•14/35

= 5/7 × 14/35

Using Cancellation method

= 1/1 × 2/7

= 2/7

2.[4/5][10/11]

= 4/5 × 10/11

Using Cancellation method

= 4/1 × 2/11

= 8/11

3.8 3/4 multiplied by 2/9

= 8 3/4 × 2/9

= 27/4 × 2/9

= 3/2 × 1/1

= 3/2

= 1 1/2

4. [4/5]10/11][7/8]

40/50 ÷ 77/88

= 40/50 × 88/77

= 40/50 × 8/7

= 40/25 × 4/7

= 8/5 × 4/7

= 32/35

4 0
2 years ago
The price per night for a hotel room is different at three different hotels.
Damm [24]
I think you meant it to be not repeating 3 times so
You do 192/3 is 60*3= 180 leaving you with 12 which is 4*3. So 64 is A
Then it’s 300/5 which is 60
455/7. So first see, if I multiply 7 by 60 is it over or under. If it’s over then B is the least and if it is less then C is the least. So 7 *60 is 420
C Being greater, b costs least per night
4 0
1 year ago
A superintendent of schools wonders if scores on a test of science achievement differ for female and male 8th grade students. To
lina2011 [118]

Answer:

b. 2-independent sample t-test

Correct for this case is the best test since the result from each group are independent and we can compare the sample means between th two groups

Step-by-step explanation:

For this case the intention is try to test if scores on a test of science achievement differ for female and male 8th grade students. let's analyze the possible options for this case:

a. 2-dependent sample t-test

False is not possible since the nature of the gender is not possible to conclude tha the results from boys and girls are dependent

b. 2-independent sample t-test

Correct for this case is the best test since the result from each group are independent and we can compare the sample means between the two groups

c. Correlation

False we can't compare the means of interest with a correlation coefficient since that's not the purpose of the study

d. 2-way ANOVA

False we have just one variable between two groups so is not possible to apply a 2 way ANOVA

5 0
1 year ago
Assume 6 in every 2000 students at the local community college have to quit due to serious health issues. An insurance company o
Alexus [3.1K]
Given:

6 out of 2000 students quit community college due to serious health issues.
$10,000 insurance company offer
$60 per year

Based on the data, there are 6 students who will be given the $10,000 insurance per year. So they need

6 * 10,000 = $60,000 to make a break-even on their insurance offer

If a student pays $60 per year, they should have

$60,000 / $60 = 1,000 students who will pay per year to reach the break-even mark of their investment. If the number of students will exceed 1,000, the company will begin to earn. 
7 0
1 year ago
A computer uses 239 watts per hour. How many watts would it use if it is on for 8 days?
Serjik [45]
29 watts hope this helps
4 0
2 years ago
Other questions:
  • AC, DF, and GI are parallel. Use the figure to complete the proportion.
    6·2 answers
  • In the figure, the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD is . The area of polygon ABCDE is s
    7·2 answers
  • Ben has 18 pears. Sophia has a number of pears two less than Ben. How many pears Sophia has?
    12·2 answers
  • If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?
    13·1 answer
  • Give an equation which describes the intersection of this sphere with the plane z=0z=0.
    7·1 answer
  • Today, Reza ate 20 grapes, which was 400% as many grapes as he ate yesterday. Explain how to use equivalent ratios to find the n
    9·2 answers
  • Choose all lengths that are equal to 3 yards 16 inches.
    15·1 answer
  • On a store counter are exactly two boxes containing only purple marbles and yellow marbles. Box A has 30 purple marbles and 20 y
    10·1 answer
  • Ari thinks the perfect milkshake has 3 ounces of caramel for every 5 scoops of ice cream. Freeze Zone makes batches of milkshake
    10·2 answers
  • Kaitlyn solved the equation for x using the following calculations. Negative 5.4 + x = 12.2. Minus 5.4. x = 6.8. What error, if
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!