Given:
Demand equation : [tex]x+4p-848=0[/tex].
Supply equation : [tex]x-20p+1000=0[/tex]
To find:
The equilibrium quantity and the equilibrium price for the GPS Navigators.
Solution:
Demand equation is
[tex]x+4p-848=0[/tex]
where x is the quantity demanded per week and p is the wholesale unit price in dollars.
Quantity demanded [tex]=x=848-4p[/tex] ...(i)
Supply equation is
[tex]x-20p+1000=0[/tex]
where x is the quantity the supplier will make available in the market each week when the wholesale price is p dollars each.
Quantity supplied [tex]=x=-1000+20p[/tex] ...(ii)
For equilibrium, Quantity demanded = Quantity supplied.
[tex]848-4p=-1000+20p[/tex]
[tex]848+1000=4p+20p[/tex]
[tex]1848=24p[/tex]
Divide both sides by p.
[tex]\dfrac{1848}{24}=p[/tex]
[tex]77=p[/tex]
Substitute p=77 in (i), to find the equilibrium quantity.
[tex]x=848-4(77)[/tex]
[tex]x=848-308[/tex]
[tex]x=540[/tex]
Therefore, the equilibrium quantity is 540 units per week and the equilibrium price is $77 for the GPS Navigators.
help plzzzzzzzzzz!!!!!!!!! I have literally less than 5 minutes!!!!! hurry I don't understand and need help!!!!
There are 4826 fans waiting on a bus to take them to a stadium. If one bus can hold 67 fans, how many buses are needed to get all 4826 fans to the stadium?????????????
Answer: 72 buses
Step-by-step explanation:
4,826/67=72
In the group of noo students
68 likes Football 60 like volleybal
How many likes only football?
Answer:
zero
Step-by-step explanation:
if their are no students then how will the likes are given ...
Answer:
if their are no students then how will the likes are given ...
Step-by-step explanation:
Using the Segment Addition Postulate, find the value of m.
AB = 4m - 15
BC = 5m - 6
AC = 15
Group of answer choices
36
4
15
9
Answer:
36
Step-by-step explanation:
AB + BC = AC
4m - 15 + 5m - 6 = 15
m - 21 = 15
m = 36
Find the value of a and b
Answer: a = 40 degrees and b = 104 degrees
Step-by-step explanation:
Since a is directly across from 40 degrees those are vote equal. Now that we know a is 40 we also have b which lies on a straight line, meaning that it is a part of 180 degrees. We also have a and a 36 degree angle on that line. Since we know a is 40 we can add angle a and 36 to get 76 degrees. Now that we know part of the 180 degrees is 76, we subtract that from 180 to get angle b, meaning that b=106.
5. Solve the polynomial equation:
Solution,
Given; x^3-7x^2-x+7=0
Using factor theorem,
we have,
i)x^3-7x^2-x+7=0
let's check whether 1 is the factor of given equation or not by replacing the value of x by one..
or, 1^3-7.1^2-1+7=0
or, 1-7-1+7=0(.°. Cancellation of +1&-1 and +7&-7 in equation)
.°.0=0
which proves that 1 is one of the factor of x
therefore(x-1) is a factor of x^3-7x^2-x+7=0.
Now,
Expanding the x^3-7x^2-x+7=0 to get (x-1) as a factor...
ii)x^3-7x^2-x+7=0
or,x^3-x^2-6x^2+6x-7x+7
or,x^2(x-1) - 6x(x-1) - 7(x-1) = 0
or,(x-1) (x^2-6x-7)w = 0
or,,(x-1) (x^2-(7-1)x-7) =0
or,,(x-1) (x^2-7x + x -7) =0
or,(x-1) [x(x-7)+1(x-7)] = 0
or,(x-1) (x+1) (x-7) = 0
Either,
i) x - 1=0
.°.x = 1
And,
ii)x + 1 = 0
.°. x = -1
Or,
iii) x - 7 = 0
.°.x =7
Hence, the required value of x are -1 ,+1 & 7.
The length of a rectangular field is twice its breadth. If the perimeter of the field is 150m . Find the dimensions of the rectangle.
Answer:
length=50m
width=25m
Step-by-step explanation:
perimeter is the distance all round,hence
2(l+w)=2(2x+x)=
4x+2x=6x=150
6x=150x
x=25
l=50m
w=25m
x^3*x^4=x^12 whats the answerrr
Answer:
I hope it helps it was the best I can do.
Step-by-step explanation:
-x12 + x7 = 0
Factorization:
−x7(x − 1)(x4 + x3 + x2 + x + 1) = 0
Solutions based on Jenkins–Traub algorithm:
x1 = … = x7 = 0
x8 = 1
x9 = −0.809017 − 0.587785i
x10 = −0.809017 + 0.587785i
x11 = 0.309017 − 0.951057i
x12 = 0.309017 + 0.951057i
Use the figure to find the measures of the numbered angles. Then, explain how you determined each of the numbered angle measures.
Answer:
see below
Step-by-step explanation:
∠1 = 61°
∠2 = 119°
∠3 = 61°
∠4 = 119°
∠5 = 119°
∠6 = 61°
∠7 = 119°
-------------------------------
∠1 = 61° = as given
∠2 = 119° = ( 180 - 61 ) = 119°
∠3 ≅ ∠1 opposite angles are equal (congruent)
∠4 ≅ ∠2 opposite angles are equal (congruent)
∠5 ≅ ∠2 or parallel
∠6 ≅ ∠3 ≅ ∠1
∠7 ≅ ∠5
Suppose g(x) = 3 + 5x.
What is the value of x when g(x) = 23?
(Hint: If 23 and g(x) are equal, then you can substitute 23 for g(x) in the orginial function).
Your answer:
118
5
15
4
9514 1404 393
Answer:
4
Step-by-step explanation:
Substitute the given value for g(x) and solve the 2-step equation for x.
g(x) = 3 + 5x
23 = 3 +5x
20 = 5x . . . . . . subtract 3
4 = x . . . . . . . . divide by 5
The value of x is 4 when g(x) is 23.
A line passes through the point (-8,4) and has a slope of -3/2 . Write an equation in point-slope form for this line.
Answer:
2333
Step-by-step explanation:
can someone please help me with this one?
it's very urgent!!
Write a paragraph, flow chart, or 2-column proof for the following Conjecture.
Given: ∠1≅ ∠4
Prove: ∠3 ≅∠2
3 = 2 by z property
Step-by-step explanation:
Congruence criteria for triangles
If two sides and the angle between them in one triangle have the same measures as two sides and the angle between them in another triangle, then the triangles are congruent.
Please mark as brainliest
Phil Dunphy, a real estate agent, is considering whether he should list an unusual $451,299 house for sale. If he lists it, he will need to spend $3,925 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $20,283. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this house in 6 months to be 37%. What is the expected profit on this listing.
Answer:
The expected profit on the listing is $5031.96
Step-by-step explanation:
Given that:
The probability of selling the house in 6 months is p = 0.37
The probability of not selling the house = 1 - 0.37 = 0.63
Suppose Y represents the profit on the listing,
Then: the expected profit on the listing can be computed as:
E(X) = ($20283* 0.37) - ($3925*0.63)
E(X) = $7504.71 - $2472.75
E(X) = $5031.96
Thus, the expected profit on the listing is $5031.96
The expected profit on the listing is $5031.96.
Calculation of the expected profit:Since
The probability of selling the house in 6 months is p = 0.37
The probability of not selling the house = 1 - 0.37 = 0.63
here Y means the profit on the listing,
So, the expected profit is
E(X) = ($20283* 0.37) - ($3925*0.63)
E(X) = $7504.71 - $2472.75
E(X) = $5031.96
Thus, the expected profit on the listing is $5031.96.
Learn more about profit here: https://brainly.com/question/24673559
the sum of the first three terms of a sequence Is 42 The fourth term is 24. find u1 and the common difference
[tex]10=2d[/tex]
Given:
The sum of the first three terms of a sequence Is 42.
The fourth term is 24.
To find:
The u₁ and the common difference
Step-by-step explanation:
nth term of a sequence is
[tex]u_n=u_1+(n-1)d[/tex]
where, u₁ is first term and d is common difference.
4th term is 24.
[tex]u_4=u_1+(4-1)d[/tex]
[tex]24=u_1+3d[/tex] ...(i)
Sum of nth term of an AP is
[tex]S_n=\dfrac{n}{2}[2u_1+(n-1)d][/tex]
Sum of first three terms is 42.
[tex]S_3=\dfrac{3}{2}[2u_1+(3-1)d][/tex]
[tex]42=\dfrac{3}{2}[2u_1+2d][/tex]
Divide both sides by 3.
[tex]14=u_1+d[/tex] ...(ii)
On subtract (ii) from (i), we get
[tex]10=2d[/tex]
[tex]5=d[/tex]
Put d=5 in equation (ii).
[tex]14=u_1+5[/tex]
[tex]14-5=u_1[/tex]
[tex]9=u_1[/tex]
Therefore, the first term is [tex]u_1=9[/tex] and common difference is [tex]d=5[/tex] .
Solve: 4x(x - 3)(x + 5)(2x - 7) = 0
Answer: 8x⁴ - 12x³ - 176x² + 420x
Step-by-step explanation:
First multiply 4x by (x - 3) which = 4x² - 12x. Next multiply (4x² - 12x) by (x + 5) which = 4x³ + 8x² - 60x. Multilying our new trinomial with the next binomial: (4x³ + 8x² - 60x)(2x - 7) = 8x⁴ + 16x³ - 120x² - 28x³ - 56x² + 420x. Combining like terms: 8x⁴ - 12x³ - 176x² + 420x. Notice that when you reduce and factor, you will end up with the starting binomials meaning this solution is correct.
(a) Use technology to find the equation and coefficient of determination for each type of regression
model. Use the number of returning players for the input variable and the number of games won for
the output variable. Round all decimal values to three places.
Answer:
Step-by-step explanation:
linear (equation) Y+1.8854+7.8750 ; Coefficient: 0.9764
Quadratic: y=1.089x^2+0.7981x+9.7331 ; coefficent: 0.9918
Exponetial: y=9.4348 x 1.1180 ; coeffient"0.9920
Exponential is the best model
Somebody please help ASAP !!!
Roberto Clemente, born in Puerto Rico, became the first Latino baseball player to be inducted in the National Baseball Hall of Fame in 1973. He held many records including reaching 3,000 career hits. During that game, the umpire briefly stopped the game to give the ball to Clemente, who tossed it from second base to the first base coach. If the first base coach was standing 3 feet behind first base and Clemente was standing on second base, which is 90 feet from first base, which expression describes the distance between Clemente and the first base coach?
Answer:
93ftStep-by-step explanation:
Kindly find a simple sketch of a baseball pitch, the circle with a dot inside represents the first base coach(don't mind my drawing please I will improve).
So, from the diagram, we can see that the expression that describes the distance and the first base coach is
y=90+3
y=93
so the distance between Roberto Clemente and the first base coach is 93ft
B is the midpoint of AC. AB = 2x + 12 and AC = 10x - 12.
Find the following:
x:
AB:
BC:
AC:
Answer:
Step-by-step explanation:
If B is the midpoint of AC, then AB = BC and AB+BC = AC
AB +AB = AC
2AB = AC
2(2x+12) = 10x-12
4x+24 = 10x-12
collect like terms:
4x-10x = -12-24
-6x = -36
x = -36/-6
x = 6
Get AB:
AB = 2x+12
AB = 2(6)+12
AB = 12+12
AB = 24
Since AB = BC, hence BC = 24
AC = AB+BC
AC = 24+24
AC = 48
brayden is blocking off several rooms in a hotel for guests coming to his weeding the hotsl can reserve small rooms that can room two people and large rooms that can room four people how many wedding guests could stay in the hotel if brayden reserved 14 small rooms and 12 large rooms how many guests could stay in the hotel if brsyden booked s small sooms and l large rooms
Answer:
76; 20
Step-by-step explanation:
s = small room = 2
l = large room = 4
14s + 12l = 28 + 48 = 76
as I said before s = 2 and l = 4
s*s + l*l = 2*2 + 4*4 = 4 + 16 = 20
Answer:
14 small rooms and 12 large rooms: 76
"s" small rooms and "l" large rooms: 20
Step-by-step explanation:
14 small rooms and 12 large rooms:
2(14)+4(12)
28+48=
76
s small rooms and l large rooms:
2s+4l
URGENT PLEASE HELP!!! WILL GIVE 20 POINTS
Read this excerpt from Infinite Jest.
'I could, if you'd let me, talk and talk. Let's talk about anything. I believe the influence of Kierkegaard on Camus is
underestimated. I believe Dennis Gabor may very well have been the Antichrist. I believe Hobbes is just
Rousseau in a dark mirror. I believe, with Hegel, that transcendence is absorption. I could interface you guys
right under the table,'I say. “I'm not just a creâtus, manufactured, conditioned, bred for a function.'
What assumption does the narrator make in this excerpt?
that the people he is addressing enjoy long conversations
O that the people he is addressing appreciate intellectualism
that the people he is addressing have researched philosophy
that the people he is addressing expect a confrontation
Answer: that the people he is addressing appreciate intellectualism
Step-by-step explanation: found it on quizlet
Answer:
That the people he is addressing have researched philosophy
Step-by-step explanation:
i said so
V=8×3 14×a solve for a
Answer:
keep in coming it is easy it is 14
Tristan walks at a rate of 4 yards every 5 seconds. If Tristan continues to walk at the same rate, how long will it take Tristan to walk 72 yards?
Answer:
It will take him 90 seconds
Step-by-step explanation:
Divide 72 by 4 and then multiply that by 5. that will show you how many seconds it take him to walk 73 yards
what is this fraction in its simplest form?
Answer:
a^2/3
Step-by-step explanation:
the numerator simplifies to 5a^3 and the bottom is 15a. we can use our exponent rules to subtract exponents, so it is 1/3(a^2). this simplifies to a^2/3.
Answer:
a^2
------
3
Step-by-step explanation:
5 a^3 / 15a
Simplify the numbers
5/15 = 1/3
Simplify the variables
a^3 /a = a^2
Putting it back together
a^2
------
3
What will the expression below simplify to after combining like terms? *
4 + 6x + 3 + 4x
roger goes shopping and buys an $112 item but has 30% off coupon. if tax is 7%, how much will roger pay altogether?
Step-by-step explanation:
Cost = $112
30% discount coupon on the item he's going to buy
=$112 × 30/100 (or you can write 30%)
=$168/5 ($33.6)
7% tax on the item=$112 × 7/100(or you can write 7%)
= $196/25 ($7.84)
Total amount altogether=$112 - $33.6 - $7.84
=$70.56
not sure for the answer^^
?!?can someone tell me how to solve for domain and range on a graph!!!
Answer:
The domain is all of the x values for which the function has a y value and visa versa for the range. So the domain is the minimum x value to the maximum x value and the range is from the minimum y value to the maximum y value. Filled in circles include the point its on and open circles do not. You can show this difference using parentheses and brackets. brackets include the point, parentheses.
Step-by-step explanation:
— (x + 2) = 5x + 3x – 11
Answer:
The result can be shown in multiple forms.
Exact Form:
x
=
±
2
√
3
−
1
Decimal Form:
x
=
2.46410161
…
,
−
4.46410161
…
Step-by-step explanation:
hey need help....heheheh Oki do u guys know wut 2.19 times 43.7 is......it's for a test -_-
Answer:
95.703
Step-by-step explanation:
If you could subscribe to penny_pg3d that would be great :>
Answer:
Your answer is 95.703!
Step-by-step explanation: To explain, It's easier to break apart the decimals and multiply that way step by step. I hope this helps you in future situations! Good luck on your test!
8. Write the equation that represents the relationship "1 less than a number is 5”? 9. The quotient of n and 2 is 8. What is the value of n?
Answer:
8. x-1=5
9. x/2=8
Step-by-step explanation:
x is the unknown number
less means subtract
quotient means divide
Help plsss............
Answer:
The answer would be $50.
Step-by-step explanation:
$5 per session
They come 10 times
$5 x 10 = $50