The tuition is an illustration of a linear function.
The cost of tuition and fees in the academic year 2023-2024, is $12260
Let the number of academic years after 2014-2015 academic year be x.
So, we have:
[tex]\mathbf{(x,y) \to (0,9200)(5,10900)}[/tex]
A linear function is represented as:
[tex]\mathbf{y = mx + b}[/tex]
Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)
So, we have:
[tex]\mathbf{10900 = 5m + 9200}[/tex]
Subtract 9200 from both sides
[tex]\mathbf{1700 = 5m}[/tex]
Divide both sides by 5
[tex]\mathbf{340 = m}[/tex]
So, we have:
[tex]\mathbf{m =340 }[/tex]
The function becomes
[tex]\mathbf{y = mx + b}[/tex]
[tex]\mathbf{y = 340x + 9200}[/tex]
In the academic year 2023-2024, x = 9.
So, we have:
[tex]\mathbf{y = 340x + 9200}[/tex]
[tex]\mathbf{y = 340 \times 9 + 9200}[/tex]
[tex]\mathbf{y = 3060 + 9200}[/tex]
[tex]\mathbf{y = 12260}[/tex]
Hence, the cost of tuition and fees is $12260
Read more about linear functions a:
https://brainly.com/question/21107621
Marie and Amy are cutting ribbons to attach to balloons for Amy's birthday party. Each guest's chair will have on balloon tied to it. each ribbon is 2/3 of a yard and they have 6 yards of ribbon in total. How many ribbons will they cut. A. 1/9 B.4 C.8 D. 9
PLS ANSWER QUICK FIRST RIGHT ANSWER WILL BEE MARKED AS BRAINLEIST
Answer:
D 9
Step-by-step explanation:
1 ribbon ---- 2/3 yards
x ------ 6 yards
6 * 1 = 2/3 * x
6 = 2/3 x
18/2 = x
x = 9
9 ribbons can be cut from 6 yards of ribbon
36 x 1/9, show work please !
Answer:
4 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
39 × [tex]\frac{1}{9}[/tex]
39 times 1 is 39
39/9 is 4.33333333 Which is also, 4 [tex]\frac{1}{3}[/tex]
What is the slope-intercept form of the linear equation 2x - 8y = 32?
(Don't forget to simplify fractions if possible)
Answer:
y = 1/4x + 4
Step-by-step explanation:
2x - 8y = 32
-2x -2x
-8y = -2x + 32
divide everything by -8
so that y becomes positive
answer : Y = 1/4x + 4
The slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.
Given is an equation of a line 2x - 8y = 32, we need to convert it into slope-intercept form of the linear equation.
The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.
To convert the equation 2x - 8y = 32 into slope-intercept form, we need to isolate y on one side of the equation.
Let's rearrange the given equation to solve for y:
2x - 8y = 32
Subtract 2x from both sides:
-8y = -2x + 32
Divide both sides by -8:
y = (2/8)x - 4
Simplifying further, we get:
y = (1/4)x - 4
So, the slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.
Learn more about linear equation click;
https://brainly.com/question/32634451
#SPJ6
Using the appropriate Algebraic identity evaluate the following:(3p -q) (3p +q)
Step-by-step explanation:
expand and multiply the terms
solve pls brainliest
Answer:
192
Step-by-step explanation:
Volume of a rectangular prism = length times width times height.
For the following prism, length = 4, width = 6 and height = 8
So volume would equal 4 * 6 * 8 = 192ft²
[tex]\sqrt{7+2\sqrt{10} } -\sqrt{7-2\sqrt{10} }[/tex]
Nina paid $37.57 for 13 gallons of gas Fred paid $55.67 for 19 gallons of gas Eleanor paid $48.62 for 17 gallons of gas. Who got the best buy?
(Find the unit price for each
Answer:
Nina paid $2.89 per gallon.
Fred paid $2.93 per gallon.
Elanor paid $2.86 per gallon.
Elanor got the best deal.
Step-by-step explanation: Simple division, and if you don't know how to, just learn it or use a calculator.
Answer:
Eleanor because they paid the lowest.
Step-by-step explanation:
N=Nina F=Fred E=Eleanor
N 37.57/13=2.89 per gallon
F 55.67/19=2.93 per gallon
E 48.62/17=2.86 per gallon
simplify (5 cubed)to the power of 6 leaving your answer in index form
Answer:
I got up to 25 to the power of 6
Step-by-step explanation:
5 cubed is 25, Hope this leads you in the right direction
Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 80 meters × 60 meters. How much shorter is the route across the park than the route around its edges?
Answer:
40meters
Step-by-step explanation:
rectangular park has 90 degree at vertex.so
in that right angled triangle
we have,
length=base=80meters
breadth=perpendicular=60
diagonal=hypotenuse=?
now,
h^2=p^2+b^2
h=square root under 80^2+60^2
h=square root under 6400+3600
h=square root under 10000
h=100
Again,
around root =80+60=140
daigonal=100.
so
the route is 140-100=40meters shorter
Factor
10x + 100x + 250
4,505 in expanded form
Which postulate /theorem can you use to prove the two triangles shown are congruent?
Lizzy makes $1800 per month working in a nail Spa. And Jackie makes 1500 per month plus 20%
a
percent commission per service per costumer. How many nail services Jackie has to complete per
month in order to make as much as Lizzy does?
Based on the amount Lizzy makes per month, to reach that amount, Jackie would have to complete 75 nail services.
The difference between Lizzy's base salary and Jackie's is:
= 1,800 - 1,500
= $300
Assuming a nail service costs $20, the amount she makes per service is:
= 20% x 20
= $4
The number of nail services she needs to do is therefore:
= Difference in wages / Amount per service
= 300 / 4
= 75 nail services
In conclusion, Jackie needs to do 75 nail services.
Find out more at https://brainly.com/question/17700034.
What does this graph represent?
Question options:
not moving
acceleration
constant speed
Answer:
A or C
Step-by-step explanation:
Directions:
It’s easy for people to get stuck in their own minds or their own worlds instead of seeing the perspectives of others. Take a moment to consider the perspective of the characters listed. Choose one character. Write a short paragraph to explain the perspective of that character by putting yourself “in their shoes.” Consider these questions:
What might be his or her struggles?
How does the character see the world around himself or herself?
What decisions would you make if you were in the character’s place?
Be sure to use specific examples or textual evidence from research, the readings in this class, or your own experiences and knowledge.
Prompt:
Topic 1: Perspective of Montresor in “The Cask of Amontillado”
Topic 2: Perspective of Princess Irene in The Princess and the Goblin, Chapter 14
Answer: Montresor struggles with anger, and grudges. Montresor feels remorse at the end but excuses it as the dampness of the catacombs.
He sees the world without justice and sees to make justice for himself. In the story he talks about the misgivings and insults he receives from fortunato. He takes vengeance against him.
(haven´t read book based off summary) Princess Irene shares a friendship that is strong. I infer this based off the trust and bonding they share in the book. She struggles against goblins.
Step-by-step explanation: I really hope this helps havent read the books in a long time.!!
Find the value of 2cosx+1=0;0 less than x less than 360°
Answer:
120°; 240°
Step-by-step explanation:
Let's first solve for [tex]cosx[/tex]: [tex]2cosx=-1 \rightarrow cosx=-\frac12[/tex] At this point it's just a matter of drawing a circle, and mark where the angle is(please excuse my paint skills, but free hand drawing would be even worse). Red line, is [tex]-\frac12[/tex] on the cosines, and both the green and blue lines are valid solutions. The green line is a quarter of a circle, plus 30°, or 120°. The blue one is 3/4 of a circle, minus 30 degrees, or 240°.
A car was traveling at 25 m/s when it slammed on the brakes and came to a complete stop in 3 seconds. What is the cars INITIAL/FINAL VELOCITY?
Answer:
Initial velocity = 25 m/s
Final velocity = 0 m/s
Step-by-step explanation:
Initial velocity is the speed in the beginning and final velocity is the speed in the end.
The problem says the car was traveling at 25 m/s, so that is the initial velocity. The end of the problem states the car came to a complete stop after 3 seconds. Therefore, the final velocity is 0 m/s.
This is probably easy oh well
An electronics store is having an 18% off sale on everything in the store. To the nearest cent, which of the following could represent regular prices and sale prices of items in the store during the sale? Select all that apply.
What do I select? You didn't put anything here.
The 18% off on the regular price of $55.43 is $45.45 so (A) is correct and the 18% off on the regular price of $29.99 is $24.59 so (B) is correct rest is not true.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The 18% off of x ⇒ x - (18/100)x = 0.82x
Therefore, 18% off of $55.43 → 0.82 × 55.43 = $45.45
18% off of $29.99 → 0.82 × 29.99 = $24.59
18% off of $215.33→ 0.82 ×215.33 =$172.26
18% off of 849.50 → 0.82 ×849.50 = $679.60
18% off of 652.30→ 0.82 ×652.30 = $534.89
Hence "The 18% off on the regular price of $55.43 is $45.45 and the 18% off on the regular price of $29.99 is $24.59 rest are not true.
For more about the percentage,
brainly.com/question/13450942
#SPJ5
Given question is incomplete,complete question follows ;
An electronics store is having an 18% off sale on everything in the store. To the nearest cent, which of the following could represent regular prices and sale prices of items in the store during the sale? Select all that apply.
Multiple select questions.
A)
regular price: $55.43, sale price: $45.45
B)
regular price: $29.99, sale price: $24.59
C)
regular price: $215.33, sale price: $172.26
D)
regular price: $849.50, sale price: $679.60
E)
regular price: $652.30, sale price: $534.89
jerry has 3,572 live chickens in his poultry farm.if there are 38 boxes , how many chickens must go in each box?
Answer: 94 live chickens go in each box.
Step-by-step explanation: 3,572 divided by 38 = 94 so 94 live chickens go in each box.
hope this helps :)
I really don’t know how to do this
22% of what number is 24.2
Answer:110
Step-by-step explanation:
24.2/x = 22/100
Where x is the number we are looking for
cross multiply
24.2*100 = 2420
22*x=22x
22x=2420
22x/22=2420/22
x= 110
so 24.2 is 22% of 110
Answer:
If 22% × 110 = 24.2 => Divide 24.2 by 110And see if we get as a result: 22% Note: Multiply a number by the fraction 100/100, and its value doesn't change.
Step-by-step explanation:
If 22% × 110 = 24.2 => Divide 24.2 by 110And see if we get as a result: 22% Note: Multiply a number by the fraction 100/100, and its value doesn't change Multiply a number by the fraction 100/100, and its value doesn't change.
The price of oranges is proportional to the number of oranges if
One orange costs 1200 Rs. Find:
A. The price of 12 oranges.
B. The amount of oranges that cost 32,000 Rs.
#1
Cost of 1orange=1200
Cost of 12 oranges:-
[tex]\\ \sf\longmapsto 1200(12)=14400[/tex]
#2
Total cost=32000Cost of one orange=1200Total oranges
[tex]\\ \sf\longmapsto 32000\div 1200[/tex]
[tex]\\ \sf\longmapsto 2666.6[/tex]
[tex]\\ \sf\longmapsto 2667[/tex]
Please find x and y... I will mark you brainliest
Answer:
Step-by-step explanation:
Dodoodo
Step-by-step explanation:
x=30 and y=30. I have solve it. See the picture that I have attached.
Solve the equation below 2(t+4)=7+5(t-4)
Answer:
t= 7
Step-by-step explanation:
2(t +4)= 7 +5(t -4)
Expand:
2t +2(4)= 7 +5t +5(-4)
2t +8= 7 +5t -20
2t +8= 5t -13
Bring constants to one side, t terms to the other:
5t -2t= 13 +8
Simplify:
3t= 21
Divide both sides by 3:
t= 21 ÷3
t= 7
In which diagram are angles 1 and 2 vertical angles?
Answer:
Step-by-step explanation:
can you upload diagram?
Please help explain my answer!!
Why does a compass point towards the earth's geographic North Pole?
My answer:
Because that's where Earth's south magnetic pole is located and they attract.
Make sure to explain your answer.
Help!
The correct answers are that Earth’s North Pole is close to the magnetic south pole, magnets allowed to move freely align themselves to point north, and the north pole on a compass is attracted to Earth’s south pole. I really hope this helps you!!
answer this asap
1)There are 30 students in a class. 18 are girls. Express the number of girls as a percentage of the
class.
2)What is the probability of choosing the color blue from the colors of the rainbow?
Answer:
1) 18/30×100%=60%
Hope this helps!!!
Answer:
See below
Step-by-step explanation:
Hi there!
Question 1
There are 30 students in total and 18 are girls, making 18/30 of the class girls. To express this as a percent, divide, then multiply by 100:
18/30 = 0.6
0.6 × 100 = 60%
Therefore, 60% of the class is girls.
Question 2
There are 7 colours in the rainbow, making blue 1/7 of the colours of the rainbow.
Therefore, the probability of choosing blue from the colours of the rainbow is 1/7.
I hope this helps!
The coefficient in the formula above tells us that there are?
Answer: srry if im wrong but i think it is Answer:1.A ____ is like a recipe for a chemical substance. (valence, formula, subscript, coefficient)
Step-by-step explanation:
If f(x)=6, what is x?
Answer:so: 6=6/5-x^3
6=6(5-x^3)
6=30-6x^3
-6x^3=6-30
-6x^3=-24
-6x^3+24=0
6x^3-24=0
6(x^3-4)=0
x^3-4=0
x^3=4
x=cube root 4
x=1.5874
Step-by-step explanation: