The supply curve for steel is 90x−y=−50. The demand curve is 10x+y=200. x is quantity in thousands of metric tons y is price in dollars per metric ton What are the values for quantity and price at the intersection point of the two curves? To find the values, first use addition to combine the left sides and to combine the right sides of the two equations.
Answer:
The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].
Step-by-step explanation:
From statement we get the following equations:
Supply curve
[tex]90\cdot x - y = -50[/tex] (1)
Demand curve
[tex]10\cdot x + y = 200[/tex] (2)
Where:
[tex]x[/tex] - Quantity, measured in thousands of metric tons.
[tex]y[/tex] - Price, measured in US dollars per metric tons.
If we add both equations, then we find that quantity is:
[tex](90\cdot x -y )+(10\cdot x +y) = -50+200[/tex]
[tex]100\cdot x = 150[/tex]
[tex]x = \frac{3}{2}\,kton.m[/tex]
Then, we finally find the price by substituting on (2):
[tex]y = 200-10\cdot \left(\frac{3}{2} \right)[/tex]
[tex]y = 200-15[/tex]
[tex]y = 185\,USD[/tex]
The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].
What does W equal? I’m lost
Answer:
it looks like it would be 69% like the one below it
Step-by-step explanation:
What is the vertical intercept (or y-intercept) of the line below?
(0,6)
(-3,0)
Answer:
-6 ?
Step-by-step explanation:
Swanton Savings Bank pays 5.5% interest compounded quarterly on a regular savings account. John deposited $4400 in regular savings accounts for 1.5 years. How much interest did he earn?
Answer:
$375.71
Step-by-step explanation:
Given that:
Rate of interest = 5.5% compounded quarterly
Time = 1.5 years
Principal amount deposited in savings account = 1.5 years
To find:
Interest earned = ?
Solution:
Formula for amount with interest compounding quarterly:
[tex]A = P(1+\dfrac{r}{4\times 100})^{4t}[/tex]
Putting the values:
[tex]A = 4400(1+\dfrac{5.5}{4\times 100})^{4\times 1.5}\\\Rightarrow 4400\times 1.01375^6\\\Rightarrow 4400\times 1.085\\\Rightarrow \$ \bold{4775.71}[/tex]
Interest earned = Amount - Principal
Interest earned = 4775.70 - 4400 = $375.71
Lines j and k are perpendicular. The slope of line j is given. Find the slope of line k. m = 4/5
Answer:
A
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] → A
The top view of a portion of streets in Buffalo, New York is shown. Williams Street runs parallel to Broadway Street and the angle where the Storage is located has a measure of 120 degrees.
Identify other businesses that occupy corners with an angle measure of 120 degrees. Select all that apply.
Answer Choices:
Auto Parts
Charity
Furniture
Pharmacy
Restaurant
Answer:
Auto Parts, Furniture and restaurant.
Step-by-step explanation:
if you add furniture and pharmacy or charity with restaurant, they equal 180. so the bigger one would be 120 as lines are parallel and this is a single straight line passing through.
The $414 price charges a store for a small refrigerator consists of the refrigerator's original cost to the store plus a profit 15% what was the refrigerator's original cost to the store?
Answer:
$351.9Step-by-step explanation:
the question is not formatted well
A store charges $414 for a small refrigerator, the price consists of the refrigerator's original cost to the store plus a profit 15% what was the refrigerator's original cost to the store?
Step one:
given data
we are told that the price of the small refrigerator contains both the original price and 15% profit
mathematically
$414= original price + 15% profit
Step two:
let us solve for 15% of 414
=(15/100)*414
=0.15*414
=$62.1
This shows that the profit is $62.1
let the original price be x
$414= x + 62.1
solve for x
x=414-62.1
x=351.9
The refrigerator's original cost to the store $351.9
Use the chart to help u ;-;"
A members-only speaker series allows people to join for $28 and then pay $4 for every event attended. What is the total cost for someone to attend 4 events? Write and solve an equation to find the answer
Given:
Joining fee = $28
Fee of each event = $4
To find:
Total cost for someone to attend 4 events.
Solution:
Let the number of events be x and total fee be y.
Fee for 1 event = $4
Fee for x events = $4x
Joining fee remains constant. So, the total fee is
[tex]y=28+4x[/tex]
Substitute x=4 in this equation.
[tex]y=28+4(4)[/tex]
[tex]y=28+16[/tex]
[tex]y=44[/tex]
Therefore, total cost of 4 events is $44.
PLEASE HELP ME
Write the equation from each line
Answer:
1) y = 2x - 2
2) y = - x - 1
3) y = 2/3 x + 1
4) y = 4x - 4
5) y = 3x + 6
6) y = -3x -3
7) y = 3 - x
8) y = 4 - 4x
PLEASE ANSWER I WILL GIVE YOU BRANLEST!!!!!!!!!
choose two rules.
Answer:
they both have a pattern and different shapes
Step-by-step explanation:
give me brainlest NOW
Can someone help me please
Which is the "The sum of 4 times a number and 7" as an algebraic expression?
A)4(x+7)
B)(4.7)+x
C)4-7+x
D)4x+7
What are the ratios of sine, cosine, and tangent for
angle Y?
sin(Y) = XZ; cos(Y) = Y? ; tan(Y) = YZ
XY
XZ
XY
sin(Y) = XY; cos(Y) = XZ; tan(Y) = YZ
XZ
XY
XZ
O sin(Y) = x7; COS(Y) = x7; tan(Y) = {Z
sin(Y) = YZ ; cos(Y) = XZ; tan(Y) = XZ
XY
XY
YZ
Answer:
C!!!!
Step-by-step explanation:
Answer: The answer is C
Step-by-step explanation:
Got it write on edge
One lap around a dirt track i 1/3 mile. It takes bryce 1/9 hour to ride one lap. what is bryce's unit rate, in miles, around the track?
Answer:
3 mph
Step-by-step explanation:
To make 1/9 hour to 1 hour, you need to x9.
You can use this way:
Let the speed be x
(1/3)/(1/9)=x/1
1/9x=1/3
x=3
3mph
Hope is this useful :D
If the perimeter of ABC = 9.7cm,
E is the midpoint of AC, and DE||BC, find the length of DE.
Answer:
3.2333 (repeated)
3.23 (rounded
Step-by-step explanation:
ADE is 1/3 of ABC so we just divide the perimeter by 3
9.7cm / 3 = 3.2333
This rounds to: 3.23
Identify the angles that each have a measure of 88
Answer: 86 and 4
Step-by-step explanation:
Hopefully this is the right answer!
Answer:
the answer for this question above is 1
Step-by-step explanation:
please help
asap
someone please help
the measure of angle of a quadrilateral is 50 120 and 100 degree. find the measure of fourth angle
Answer:
The measure of the fourth angle is 90°.
Step-by-step explanation:
Let x be the measure of the fourth angle.
Given measures of the other angles : 50°,120° & 100°.
Knowledge Required :
The sum of all the interior angles of a quadrilateral is 360°.
Then,
50°+120°+100°+x=360°
⇒x = 360°-270°
⇒x = 90°
.°. x = 90°
Hence, the measure of the fourth angle is 90°.
Evaluate x/4 for x=48
Hey there!
If x = 48
48/4 = 12 because 12 • 4 equals 48
Answer: 12
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
x=8
Step-by-step explanation:
{x}{4}x=48
{x^2}{4}=48
{4x^2}{4}=48\
13. Jennifer has $900 in a savings account at the beginning of the summer. She wants to have at least $250 in the account by the end of November. She withdraws $35 each week for food and shopping. If w represents the number of weeks, which of the following inequalities could be used to solve for the amount of money she may have by the end of summer?
Answer:
455
Step-by-step explanation:
900-(35×13)=455
The 7th-grade class took a survey on their favorite ice cream. 58 people said they prefer vanilla, while 28 people said they prefer chocolate. Write a ratio comparing chocolate to vanilla. (Write it in a :b form)
What is 3x-4y=10 on a graph
Answer:
Step-by-step explanation:
If I parallel m, find the value of x and y
Answer:
x=24 y=9.8
Step-by-step explanation:
5y-23=3x
47+3x+2x+13=180
HELP PLEASE
classify the triangle
Answer:
I believe it would be an acute triangle.
Choose Yes or No to tell if the number 103 will make each equation true. 6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equations :
6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes
Will the number 103 will make each true?
601 / 6.01= 100 (No, not true)
305 / 0.305 = 1000 (No, not true)
540 / 0.54 = 100 (No, not true)
970 / 0.097 = 10000 (No, not true)
Hence, multiplying each of the equation above by 103 will not make any of the equations true.
There are 40 DuBois students going on a field trip. Each one pays their teacher $8.75 to cover admission to the museum and lunch. Admission for the students is $120 and each one gets an equal amount to spend on lunch. How much will each DuBois student be able to spend on lunch? *
Given :
There are 40 DuBois students going on a field trip.
Each one pays their teacher $8.75 to cover admission to the museum and lunch.
Admission for the students is $120 and each one gets an equal amount to spend on lunch.
To Find :
How much will each DuBois student be able to spend on lunch.
Solution :
Amount they paid for admission :
[tex]P =\$ \dfrac{120}{40}\\\\P=\$3[/tex]
Now, amount of money to spend on lunch is $8.75 - $3 = $5.75 .
Hence, this is the required solution.
The 9th and the 12th term of an arithmetic progression are 50 and 65 respectively find the sum of the first 70 terms
Answer:
Sum of the first 70 terms is 12,775
Step-by-step explanation:
For the 9th term, the formula is;
a + 8d = 50
For the 12th
a + 11d = 65
Subtract this from the equation above;
3d = 15
d = 15/3 = 5
To get a, we have a + 8(5) = 50
a = 10
The 70th term
will be
a + 69d
= 10 + 69(5)
= 355
Sum of the first 70
= n/2(a + L)
= 70/2( 10 + 355)
= 35 * 365 = 12,775
Find the area of the shape above. Will give brainliest answer.
Answer: 3/5
Step-by-step explanation:
A=a+b/2h
Since the bottom width = 4 and the top length =2 and the length = 5
2+4=6
2(5)=10
so 6/10 = 3/5
solve by factoring x^2 -9 =0
44735758 x 46639756-435333 divided by 48883 = what pls help will give brainleist
Answer:
2.0864648e+15
Step-by-step explanation:
Answer:
Ok this is a long one 4,792,801,917.519956
Hope this helps! But is this for a class or were you just wondering?