Answer:
a) Demand equation :[tex]y=-\frac{2}{25}x+725[/tex]
b) Supply equation : [tex]y=\frac{7}{100}x+350[/tex]
C) The equilibrium quantity and the equilibrium price are 2500 and $ 525 respectively
Step-by-step explanation:
We are given that For each decrease in unit price of $20 below $485, the quantity demanded increases by 250 units.
Since decrease in unit price of $20 increase demand by 250 units
So, Slope =[tex]\frac{-20}{250}=\frac{-2}{25}[/tex]
We are given that The quantity demanded x of a certain brand of DVD player is 3000/week when the unit price p is $485.
Now for demand equation:
Use point slope form : [tex]y-y_1=m(x-x_1)[/tex]
So, [tex]y-485=\frac{-2}{25}(x-3000)\\y=-\frac{2}{25}x+725[/tex]
a)So, Demand equation : [tex]y=-\frac{2}{25}x+725[/tex]
Now to find supply equation
We have two points (0,350) and (2500,525)
[tex](x_1,y_1)=(0,350)\\(x_2,y_2)=(2500,525)\\y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-350=\frac{525-350}{2500-0}(x-0)\\y-350=\frac{7}{100}x\\y=\frac{7}{100}x+350[/tex]
b) So, Supply equation : [tex]y=\frac{7}{100}x+350[/tex]
Now to find equilibrium quantity and price equate demand and supply equation
[tex]-\frac{2}{25}x+725=\frac{7}{100}x+350\\725-350=\frac{7}{100}x+\frac{2}{25}x\\x=2500[/tex]
So, equilibrium quantity = 2500
To find equilibrium price substitute equilibrium quantity in any equation
[tex]y=\frac{7}{100}x+350\\y=\frac{7}{100}(2500)+350\\y=525[/tex]
C) The equilibrium quantity and the equilibrium price are 2500 and $ 525 respectively
Someone please help I need this as fast as possible
GIVING 20 POINTS
f(x) = 2x2 + 20x – 10
Answer:
x = 0.3
Step-by-step explanation:
f(x) = 2x2 + 20x – 10
0 = 4 + 20x - 10
0 = - 6 + 20x
- 20x = - 6
=
x= 3/10 =
x = 0.3
Find the product. (3.2)(6.4)
Find the length of XY if Wis between X and Y WX = 27 and WY = 14.
XY =
Answer:
the answer is x bc x =tringale plus 5
Triangle. A)6× b) 8× c) 6×
Answer:
288
Step-by-step explanation:
jnjrgrugnrjgvnjrhbyrngk
Leah is building a birdhouse for purple martins birds that prefer cube shaped birdhouses what are the dimensions of each square piece of wood leah needs to build the 216 cubic inch birdhouse
Answer:
Each square piece of wood will be 6 inches
Step-by-step explanation:
pleaseeeeeeeeeeeeeeeeee help
Answer:
Jumping Jacks:7,21,28,42
Push-ups:2,6,8,12
Answer:
Jumping Jacks:7,21,28,42
Push-ups:2,6,8,12
Step-by-step explanation:
If angle 2 is 120 degrees, a) What is the measure of angle 1?
Step-by-step explanation:
<1+<2=180°
<1+120°=180°
<1=180°-120°
<1=60°
Philip went on a 4 day bike trip and rode the following distance. 36.8 miles, 29.67 miles, 38.99 miles and 43.3 miles. what was the average distance he rode every day?
Answer:
37.19
Step-by-step explanation:
36.8+29.67+38.99+43.3= 148.76
148.76 divided by 4(thats how you get the average you add all of them up then divide by the amount of numbers you have)= 37.19
Problem: Melody's family wants to go to Hawaii, which is a
3,700 mile airplane ride. Write the number of miles in scientific
notation.
Answer:
3.7 times 10 to the 2nd
Answer:
3.7 times 10 to the 2nd
Step-by-step explanation:
Guys help please!!!!!
Answer:
what?
Step-by-step explanation:
Linsey can work at most 20 hours a week
A. x<20 B. x>20 C. x<=20 D. x>=20
Answer:
C. x<=20
Step-by-step explanation:
it say less than or = to 20hr
Answer:
C. X is less than or equal to 20
Step-by-step explanation:
She can work 20 hours, but can not work more than 20 hours, therefore, x has to be less or equal to 20.
Solve for a
20-4
17
4 =
Answer: a = 2???????????????
we have so much in common, we argue all the time, you always say IM WRONG, im pretty sure im right
how does dividing mixed numbers compare with dividing fractions?
Rewrite this number in scientific notation 54.8 times 10’3
Look at attachment down bellow
0.8, 1.2, 1.6, 2.0, ...
what is the rule in the squennce above?
Answer:
You add 0.4 each time
Step-by-step explanation:
.........
Answer:
add 0.4 ?
because 0.8 plus 0.4 equals 1.2 and you go on by adding
What is the recursive formula of 6,7,7.5,7.75
animal behavior crossword
Answer:
what is the question? tggtt
True or False? If a positive integer is subtracted from a negative integer, the answer is a negative integer.
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
because if you have diffrent sings you will subtract same sings add.
Which of the following pairs of angles are supplementary?
Answer: 3 and 6
1 and 4
Step-by-step explanation:
The revenue in dollars of a company that produces video game systems can be modeled by the expression 5X squared 2+ 2X -80 the cost in dollars of producing video game system can be modeled by 5X squared two minus X +100 where X is the number of video game sold if profit is the difference between revenue and cost what expression represents the prophet
Answer:
required expression for profit = 3x - 180
the profit by selling 1000 units will be $ 2820
Step-by-step explanation:
Given,
Revenue = 5x² + 2x -80
cost = 5x² - x + 100
Hence profit = Revenue - cost
=> profit = 5x² + 2x -80 - (5x² - x + 100)
=> profit = 5x² + 2x -80 - 5x² + x - 100
=> profit = 3x - 180
which is the required expression for profit.
number of video games sold = 1000
=> x = 1000
hence,
profit = 3x - 180
= 3000 - 180
= $ 2820
hence the profit by selling 1000 units will be $ 2820
A rectangle and square have the same area.
The rectangle has length 12x and width 3x.
Find the length of each side of the square.
(20 points)
Answer:
12x*3x=36x^2
squarelength=[tex]\sqrt{36x^2}[/tex]=6x
Step-by-step explanation:
Length of each side of a square is equals to 6x.
What is rectangle?
" A rectangle is a two dimensional shape whose opposite sides are parallel and congruent to each other. Each of the interior angle is of measure 90°."
What is square?" A square is a parallelogram whose all sides are congruent to each other. Each of the interior angle is of measure 90°."
Formula used
Area of rectangle = length × width
Area of square = (side)²
According to the question,
length of a rectangle = 12x
width of a rectangle = 3x
Substitute the value in the formula we have,
Area of rectangle = 12x × 6x
= 36x²
As per the question,
Area of rectangle = Area of square
Therefore ,
Area of square = 36x²
⇒ (side)² = 36x²
⇒ side = 6x
Hence, length of each side of a square is equals to 6x.
Learn more about rectangle and square here
https://brainly.com/question/2272635
#SPJ2
Aisha took the train spoklane to seattle. the distance is 250 miles and the trip took 3.5 hours. wha was the speed of the train
Answer:
I believe the answer is 72.88 Miles Per Hour (MPH).
Step-by-step explanation:
If the distance being traveled is 250 miles and the time it took was 3.5 hours, then you should divide the 250 miles by the 3.5 hours it took to get there. By dividing 250 by 3.5, you can get 72.88, which should be the answer.
Hope this helps! Let me know.
What is this expanded
Im not sure how to expand the negative
Do i do it like -4x-4 and so on or just 4x4. And so on
Answer:
as cheecks
Step-by-step explanation:
Answer:
you should multiply 4 by -5, 5 times, so 4 times -5 = -20 then multiply by -5 = 100 then multiply y -5 = -500 then multiply by -5 = 2,500 then multiply by -5 equals = -12,500
or just 4 times -5 = -20 because I don't know how they teach you.
So if you will expand it it will be eaither-12,500 or -20, it's how they teach you.
What is the result when the number 93 is increased by 8%?
Suppose two automobiles leave from the same point at the same time. If one travels north at 60 miles per hour and the other travels east at 45 miles per hour, how fast will the distance between them be changing after three hours?
Answer:
225milesStep-by-step explanation:
velocity is the change in displacement with respect to time
Speed Δv = Δd/t
Δd = tΔv
Δv is the change in speed
t is the time taken 3 hours
Substitute the given parameters into the formula;
Using the pythagoras theorem to get the change in velocity
v² = 60²+45²
v² = 3600+2025
v² = 5625
v = √5625
v = 75miles/hour
Substitute the gotten values inti the formula;
Δd = tΔv
Δd = 3*(75)
Δd = 225miles
The distance between them be changing by 225miles after 3 hours
A carnival manager counted 275 ticket receipts after the first day of the carnival. The price for an adult ticket was 11.50
What is the horizontal asymptote of the function f(x)=2^x-5?
y =-5 is the horizontal asymptote
Please Help! Chapter TEST review tonight!!!
Will give BRAINLIEST!!!!
Answer:
[tex]x=5^o[/tex]
[tex]m\angle EBD=50^o[/tex]
Step-by-step explanation:
First case: angleEBD = 86 degrees, and angleDBC = 7 x + 8
Since BD bisects angleEBC, then angleDBC = 86/2 degrees = 43 degrees
then 43 = 7 x + 8
solving for "x":
43 - 8 = 7 x
35 = 7 x
dividing both sides by 7:
x = 5 degrees
Second case: angleEBD = 5 x + 20 and angleDBC = 7 x + 8
Since both angles must be of the same measure because BC is the bisector, then we can write the equation:
5 x + 20 = 7 x + 8
solve for x:
20 = 7 x - 5 x + 8
20 - 8 = 2 x
12 = 2 x
x = 6 degrees
now use x = 6 degrees to find angle EBD:
angleEBD = 5 (6) + 20 = 30 + 20 = 50 degrees.
I need help with this question please.
Answer:
It's B. 2/5
Step-by-step explanation:
Because: line G to E is 2/5 of G to F.