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
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Answer the questions below, no links.
Answer:
[Graph] See attached
[Question] A, C, & E
Step-by-step explanation:
[Graph] 0.4 -> 2/5
() It will go through the origin (0, 0) because we have no b, or y-intercept
() From (0, 0) it will go 2 up and 5 over, 2 up and 5 over, etc etc
() See attached
[Question]
() A, C, E
() It is proportional (one to one as it is a straight line) so A is correct
() The slope in y = mx + b is m, and our m is 0.4 so it is the slope
() 3 * 0.4 = 1.2, so E is correct
Write an equation representing how much Tristan paid.
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
Answer:
These are the equations
Step-by-step explanation:
Gwen's equation = x + 10y = 30
Tristan's equation= x + 15y = 40
Keith's equation = x + 10y = 30
Please help
A
B
C
D
E
F
Answer: B. SAS or/and E. HL
Step-by-step explanation:
The two triangles both have a right angle of 90 degrees and two sides that are congruent so, SAS (side-angle-side). It can also be by HL since they both have a hypotenuse (the 2 lines) and one leg (the 1 line) that are congruent to each other.
The length and breadth of a rectangle are (2x + 1) cm
and (x + 3) cm, respectively. If the area of the
rectangle is 88 cm^2 ,find:
a. the value of x
b. the perimeter of the rectangle.
Answer:
Step-by-step explanation:
Area = 88 sq.cm
length * width = 88
(2x + 1)(x + 3) = 88
2x*(x +3) + 1*(x + 3) = 88
2x*x + 2x*3 + x + 3= 88
2x² + 6x + x + 3 = 88
2x² + 7x + 3 - 88 = 0
2x² + 7x - 85 = 0
2x² - 10x + 17x - 85 = 0
2x(x - 5) + 17(x - 5) =0
(x - 5)(2x + 17 )= 0
x - 5 = 0 {Ignore 2x +17 = 0 as it gives a negative value}
x = 5
b) length = 2x + 1 = 2*5 + 1 = 10 +1 = 11 cm
breadth = x+ 3 = 5 + 3 = 8 cm
Perimeter = 2*(length +breadth}
= 2* (11 + 8)
= 2 * 19
= 38 cm
7. Two numbers are at a ratio of 5: 9. Find the larger number if the smaller number is 35.
Answer:
63
Step-by-step explanation:
What is the length of the major axis of 7(x+2)^2+2(y-2)^2=49?
Answer:
2a=7[tex]\sqrt{2}[/tex] or 7/2
Step-by-step explanation:
hope thats right
Hello! Please answer this ASAP. Thanks!
Answer:
x=3
Step-by-step explanation:
Twenty divided by four is five. You would divide fifteen by five to get three. so X=3.
Simplify the expression and please show all work
-5+i over 2i
Answer:
2.5i
Step-by-step explanation:
-5/2 = 2.5
+i = 2.5i
!!!!!!!!!!!!!!!!!!!2
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day.
We can solve this problem in one step, we just have to look at the graph and see how the line works.
The equation of the line is [tex]y=8x+0[/tex] as the line rises by 4 for every hour they work. We can prove this by substituting points and seeing what we get.
In words, after reading our equation, we can see the following
"Every hour Anthony works, he earns 8 dollars".
We can see this because if we look at the line, when he works for one hour on the x axis, we gains 8 on the y axis
Hence our answer would be B.
Cheers!
If you and 2 friends went to dinner and the bill was $57.90 after taxes and you wanted to leave a 25% tip. How much total would you have to pay each? (round to the nearest hundredth)
Answer:14.48
sorry if it is wrong.
Step-by-step explanation:0.25*57.90=14.475
Define power of 10 rule
Answer:
A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.
Step-by-step explanation:
Answer:
Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.
Step-by-step explanation:
Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.
Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10 sec as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.
5.3.21
Write an equation in slope-intercept form of the line with the given slope m and y-intercept b.
9
m= -4b=
Enter the equation of the line in slope-intercept form.
(Do not factor. Use integers or fractions for any numbers in the equation.)
Answer:
y = -4x + 9
Step-by-step explanation:
Kross bought 3 cans of paint. The total was less than $60. How much was each can?
inequalities btw!!
Step-by-step explanation:
two equations if you want an inequality
y = -3x + 60
3x <= 60
graph it and you get x = 20 which is your answer
Identify the form the following equation is in y = 2/3x - 7
Answer:
Point slope form
[tex]y=mx+b[/tex]
Nancy deposits $2500 into an investing account that pays 6.1% annual interest compounded quarterly. What will be the balance after 10 years? Round to the nearest cent.
Step-by-step explanation:
P=principle balance
r= interest rate
n= no. of times interest compounded per year
t= time period.
[tex]A = P {(1 + \frac{r}{n}) }^{nt} \\A = 2500 ({1 + \frac{ \frac{6.1}{100} }{4} )}^{4(10)} \\ A = 2500 {(1 + \frac{0.061}{4} )}^{40} \\ A = 2500 {(1 + 0.01525)}^{40} \\ A = 2500 {(1.01525)}^{40} \\ A = 4579.94[/tex]
BRAINLIST PLS
Based on the information given the balance after 10 years is $4579.94
Balance after 10 yearsUsing this formula
Amount=P(1+r/n)^nt
Where:
P=principle balance=2500
r= interest rate=6.1%
n= Number of times interest compounded per year=4
t= time period=10 years
Let plug in the formula
Amount=2500(1+0.061/4)^4×10
Amount=2500(1+0.01525)^40
Amount=2500(1.01525)^40
Amount=$4579.94
Inconclusion the balance after 10 years is $4579.94
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PLEASE HELP ME ILL
MARK BRAINLIEST
Answer:
yeah
Step-by-step explanation:
The number 43.9 is 24% of x. What is the value of x rounded to the nearest whole number?
Answer:
183
Step-by-step explanation:
percentage=actual/base
B=A/P
B=43.9/0.24
B= 182.9=183
The value of x rounded to the nearest whole number is 183.
What is Percentage?In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.
As per the given data:
Number = 43.9
The given number is 24% of x.
Percentage = (value / total) × 100
By substituting the given data:
24 = (43.9 / x) × 100
x = (4390/24)
x = 182.91
after rounding off to the nearest whole number
x = 183
Hence, the value of x rounded to the nearest whole number is 183.
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What is the dividend when the divisor is 8 and the quotient is 96 with a remainder of 3?
dividend:
Explain how you found the dividend.
Answer:
13
Step-by-step explanation:
13÷8=96r3 आओऋअःनबभसजहलव
The required dividend would be 765 when the divisor is 8 and the quotient is 96 with a remainder of 3.
What is the Quotient?A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.
Let the required dividend would be x
The divisor is 8 and the quotient is 96 with a remainder of 3 which is given in the question
As per the given question, the solution would be as:
⇒ x ÷ 8 = 96 r3
⇒ x + 3 = 96 × 8
⇒ x + 3 = 768
⇒ x = 768 - 3
⇒ x = 765
Therefore, the required dividend would be 765.
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There are 8 math classes in 7th grade. Seven are equally sized and the 8th class has 32 students. If there are a total of 221 in the 7th grade, how many are in each of the equally sized bath class?
Answer:
27
Step-by-step explanation:
221-32=189189/7=27Solve for X in the triangle round your answer to the nearest 10th
Step-by-step explanation:
remember : the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) with the sides being opposite to the angles.
so,
the opposite angle of x is
180 - 90 - 44 = 46 degrees.
x/sin(46) = 6/sin(90) = 6
x = 6×sin(46) = 4.316038802...
rounded x = 4.3
4. A publisher wants to figure out how thick their new book will be. The book has a front
cover and a back cover, each of which have a thickness of of an inch. They have a
a
choice of which type of paper to print the book on.
a. Bond paper has a thickness of inch per one hundred pages. Write an equation for
the width of the book, y, if it has x hundred pages, printed on bond paper.
b. Ledger paper has a thickness of į inch per one hundred pages. Write an equation
for the width of the book, y, if it has x hundred pages, printed on ledger paper.
C. If they instead chose front and back covers of thickness of an inch, how would
this change the equations in the previous two parts?
Answer:
1in x 2 + 1 in =3in
2 times 1 is 2 + 1 equals 3
There are 30 puzzle books on a shelf. The number of puzzle books is 25 of all the books on the shelf.
What is the total number of books on the shelf?
Enter your answer in the box.
books
hurry ill give brainliest answer
The total number of books on the shelf is 12 books
Given the following parameters
Total number of puzzle books on the shelf = 30 books
If the number of puzzle books is 25 of all the books on the shelf, the total number of books on the shelf is expressed as:
= 2/5 of 30
= 2/5 * 30
= 2 * 6
= 12
Hence the total number of books on the shelf is 12 books
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Answer:
75
Step-by-step explanation:
Bethany has $20 to take some friends and herself to the movies A movie ticket costs $7.75. Write an inequality to help Bethany determine how many people can go to the movies with the $20.
Answer:
Only 2 people would be able to go and she would have $5.50 to spend on snacks.
Answer:
2 friends
Step-by-step explanation:
20< 7.75(x) you have to have a less number than the total
3 1/2 units from -2 on a number line. Which numbers, if any could be the value of m
Answer:
1 1/2 and -5 1/2
Step-by-step explanation:
if you add 3 1/2 to -2 you get 1 1/2
if you subtract 3/12 from -2 you get -5 1/2
10. Triangle JKL is shown. Based on the information in the diagram, what is the measure of ZJKL? (G6D)
Answer:
I think this diagram its 110° cause it's measure for ZJKL FOR (G6D)
I
PLZ HELP ASAP! I GIVE BRAINLIEST AND POINTS!
please dont post links
Find the value of the monomial.
5x^3 for x = 0.5
Answer:
⁵/₈
Step-by-step explanation:
x = 0.5
5x³ = 5(¹/₂)³
5x³ = 5(¹/₈)
5x³ = ⁵/₈
The formula to find the volume of a sphere is = 4 3, where is the radius of the 3
sphere. What is the formula in terms of ?
Answer:
d.
took the test
Step-by-step explanation:
There are 412 eighth-grade students at a middle school.
• About of the eighth-grade students ride the bus.
• Of the eighth-grade students that ride the bus, are females.
Approximately how many eighth-grade students that ride the bus ?are
male?
A 110
B. 140
C. 165
D. 275
Answer:
I cant see the numbers...
Step-by-step explanation:
Sorry! I can tell you the answer if you comment on this post.
What is cuneiform?
A. a specific style of architecture
B. a method used to create pottery
C. writing system using wedge-shaped symbols
D. an artistic era filled with achievements in art
Answer: Pretty shure it's C
Step-by-step explanation:
c. writing system using wedge-shaped symbols
GIVING BRAINLIEST!
A hot air balloon is tied to the end of a 60-m rope. When the balloon is at an altitude/vertical height of 50 m, what angle of elevation does the rope make with the ground? Round your final answer to the nearest tenth of a degree.
Answer:
83.333 degress
Also where i solved for side a is pointless i just realised :p
Step-by-step explanation:
okay Imma head into some trig stuff here so sorry.
the hypotenuse of the triangle would be 60m
the height is 50m
Using pythag theorem we can concur that a = 10.488
a = 10.488
b= 50m
c = 60m
now we just use sin (feta) = 50/60
sin(feta) = .8333
or 83.3 degress.
-Gage Millar, Algebra 1/2 tutor