If the cost of college tuition in 2010 was $6016 and in 2014 was $9139, then the average rate of change in tuition during this time period was $781/year. Do you agree or disagree?
To find the average rate of change during this time period, you need to divide the amount, in dollars, of the difference between the years and divide it by the number of years the time period was.
In 2010, the cost of the tuition was $6,016. In 2014, the cost of the tuition was $9,139. First, you need to subtract to find the difference in tuition.
[tex]9,139-6,016=3,123[/tex]
The increase in tuition for this time period is $3,123. Now, you need to find the number of years it took to increase by $3,123.
[tex]2010 \rightarrow2014 = 4 \text{ years}[/tex]
That means it took four years to increase by $3,123. Lastly, you need to find the average rate of change. You can find this by dividing the amount of dollars(the tuition increased by) by the number of years it took to increase.
[tex]\frac{\text{amount of dollars}}{\text{number of years}} = \frac{\$3,123}{4} = \$780.75[/tex]
That means the average rate of change during this time period was $780.75. Rounded to the nearest whole number, it would be $781. Therefore, you can agree that the average rate of change during this time was $781/year.
Answer:
I Agree
Step-by-step explanation:
That seems like a fair advantage for people planning to go to college!
Name an equivalent ratio for One-half with a denominator of 8.
a. 4 Over 8
c. 5 Over 8
b. 1 Over 8
d. 3 Over 8
Answer:
it is A
Step-by-step explanation:
2 divided by 4/5 whats the answer to this problem anyone?
Answer: 2.5
Step-by-step explanation:
Answer:
2 1/2
Step-by-step explanation:
Do keep change flip. Make 2 an improper fraction by making it 2/1. Change the division symbol to a multiplication symbol. Flip 4/5 to 5/4. The equation you should have is 2/1x5/4. 2x5=10 1x4=4. the fraction you should have is 10/4. 10 divided by 4 =2.5. the fraction you should have now is 2 2/4. Simplify 2 2/4 to 2 1/2.
What sets of numbers are included in the real numbers
Answer:
−3, −2, −1, 0, 1, 2, 3
The dimensions of a rectangular garden are: Length (2x + 3) and the width is (3x-5) Find the value of x if the perimeter is equal to 26.
length=(2x-3)
width=(3x-5)
perimeter=26
perimeter= (2 times length) + (2 times width)
26= 2(2x-2) + 2(3x-5)
26 = 4x - 6 + 6x - 10
26 = 10x -16
26 + 16 = 10x -16 + 16
10 = 10x
10 ÷ 10 = 10x ÷ 10
1 = x
Solve. Check your answer.
16 = x
—
2
Which fraction is equivalent to 0.018?
55
2.
111
9
500
17
900
Please help
Answer:
0.018=9/500 as a fraction
Step-by-step explanation:
what is the quotient of 4/5 divided by 1/3 2 and -----------
Answer:
2 2/5
Step-by-step explanation:
i just googled this srry
Answer:
2 2/5
Step-by-step explanation:
6TH GRADE MATH!!
Sheila can ride are bicycle 6,000 meters in 15 minutes. Cal can ride his bicycle 3,400 meters in 8 minutes.Select true or false for the following statement. cal can ride his bicycle 750 meters in 1 minutes.
Answer:
false
Step-by-step explanation:
to get this answer you need to divide 3,400 by 8. Which is 425. So no, he can not go 750 meters, he can only go 425 meters in one minute. hope this helps!!
Suppose the point (x,y) is translated horizontally c units
Write down the corrdinates of the point
Answer:
If moved right it would be (x+c , y)
If moved left it would be (x-c , y)
Step-by-step explanation:
Basically, if you translate a point horizontally then the x coordinate would either increase or decrease while the y coordinate stays the same. You can represent this by x+or- c
There is a proportional relationship between the area of a wall and the amount of paint needed to cover it.
A. What is the constant of proportionality for that relationship? Explain.
Answer:
Constant of proportionality [tex] = \frac{1}{400} [/tex]
Step-by-step explanation:
A. The constant of proportionality can be calculated as the ratio of y to x. In this case, y = amount of paint, while x = the area of the wall
The area of the wall determines the amount of paint needed to cover the wall.
Constant of proportionality, k = y/x.
Any given pair cam be used as y and x to find k.
Thus, using (100, ¼),
[tex] k = \frac{\frac{1}{4}}{100} = \frac{1}{4}*\frac{1}{100} [/tex]
Constant of proportionality [tex] = \frac{1}{400} [/tex]
This means that as area of the wall increases, amount of paint increases and the ratio between them would always be [tex] \frac{1}{400} [/tex].
A
B
C
D
Thanks for helping me
Quick I need help pls
Answer:
361
Step-by-step explanation:
What is the product?
8
-1
-4.
-5
9
-32
4
O
20
-36
32
-4
-20
AnswerC
Step-by-step explanation:
Which statement is true?
A) ST ≅ RV
B) VU ≅ ST
C) SR ≅ TU
D) ST ≅ UT
Answer:
D
Step-by-step explanation:
Trust me, i took the test.
Which of the following functions has a graph that passes through the origin? Select all that apply.
A. power; y equals x superscript n baseline
B. root; y equals Root Index n Start Root x End Root
C. reciprocal; y equals Start Fraction 1 over x End Fraction
D. exponential; y equals b superscript x baseline
Answer: a and b
power and root
If f(x) = 7x, which of the following is the inverse of f(x)?
O A. f'(X) = x + 7
B. f1(x) = x - 7
O c. f'(x)
O d. f'(X) = 7x
SUBMIT
Answer:
x/7
Step-by-step explanatio
Please help solve one of them
Answer: im not sure
Step-by-step explanation:
Which of the following fraction is an equivalent fraction for 2/7?
1. 8/11
2. 10/28
3. 6/21
4. 4/7
Answer:
6/21
Step-by-step explanation:
6/21 can be divided by 3 to equal 2/7
Answer:
the answer is c 6/21
Step-by-step explanation:
can i please have brainiest
What is the square root of -1?
-i
i
-1
1
Answer:
the square root of -1 is i
Step-by-step explanation:
Well, actually, the square root of -1 (or any negative number at that) is not a real number. What I mean by that is that there is no way to square a real number to get a negative number (ie [tex]2^{2} = 4, -2^{2} =4[/tex], there is no way to square a real number to get -4).
To solve this, mathematicians came up with the "imaginary number" i which, when squared, equals to -1. This allows us to get the square root of negative numbers ([tex]\sqrt{-4} = 2i[/tex]) or get negative numbers through squaring ([tex]2i^{2} = -4[/tex]).
The required value of the square root of -1 is i. The correct answer is option B.
As we know that complex number is made up of real and imaginary values. It is represented by the equation z = a + ib, where a, b, and i are real values and i is an imaginary number.
The square root of -1 is denoted as "i" in mathematics, where "i" represents the imaginary unit.
The imaginary unit is defined as the square root of -1. It is important to note that the square root of a negative number is not a real number, but an imaginary number.
⇒ √(-1)
⇒ √(i²)
⇒ i
So, the correct answer is "i."
Learn more about complex numbers here:
brainly.com/question/19007885
#SPJ6
help please i need answer i will like you and try to answer to your last quashen pls help
Answer:
Ok the so the answer is 103.075
Step-by-step explanation:
So how you do this divided the tax rate by 100 which gives you 0.085 and then you times that by 95 and you get 8.075 which you add to 95 to get 103.075
PLEASE HEART
can someone find the inverse and explain it step to step please!!!!!!! (FOR QUESTION 3)
Answer:
f^-1(x) = 4(x+5)/3
Step-by-step explanation:
Let f(x) = y
So, y = (3/4)x - 5
y + 5 = (3/4)x
4(y+5)/3 = x
The steps are first to make a variable that holds the same value as the function, then from there you simplify and eventually make x the subject of the equation.
Help ASAP , 15 points and a brainy.
Answer:
B
Step-by-step explanation:
Answer:
I think the answer is B. It slopes downward from left to right.
Carter wants to know how often his classmates go to amusement parks. He asks the following question: “Did you go to an amusement park this summer?”
Is his question a statistical question? Explain why or why not.
Answer:
No, it is not
Step-by-step explanation:
This is not a statistical question because there is no need to apply any sort of math. This is a question that can easily be answered with a yes or no.
Answer:
Sample Response: No. A statistical question addresses difference in a population and offers a variety of responses. Carter’s question would yield only yes or no responses.
Order the steps to show how to solve the equation 2(4x−11)+9=19.
Answer:
4
Step-by-step explanation:
2(4x-11)+9=19
8x-22+9=19
8x-13=19
8x=32
x=4
ANGLES IN TRIANGLES WORKSHEET
Answer:
x = 26
Step-by-step explanation:
90 + 52 + unknown angle = 180
142 + unknown angle = 180
unknown angle = 38
unknown angle + 116 + x = 180
38 + 116 + x = 180
154 + x = 180
x = 26
Step-by-step explanation:
Click here
Thanks guys :)
Mwhehe
help me on it pls thanks
Please answer this (Middle school math)
Answer:
the first one
Step-by-step explanation: what school you go too
1999 total revenue of a company from music sales and Licensing was 14.2 billion dollars. It was forecasted that this number would continue to drop until it reaches 5.3 million in 2014. Find the percent decrease in music revenue.
Answer:
62.67%
Step-by-step explanation:
Total revenue of a company from music sales is 14.2 billion dollars in 1999.
It reaches 5.3 million in 2014.
We need to find the percent decrease in music revenue. It can be given by :
[tex]\%=\dfrac{|\text{original value-decrement value}|}{\text{original value}}\times 100\\\\\%=\dfrac{|14.2-5.3|}{14.2}\times 100\\\\\%=62.67[/tex]
So, the percent decrease in music revenue is 62.67%.
University degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some students get a Bachelor of Arts and Science degree, which requires meeting graduation criteria for both degrees. A student advisor needs to know the probability a newly admitted student is interested in such a program, so that the student can be properly advised. A study of previous years finds that the probability a student gets a Bachelor of Science degree is P(Science)=0.3 and the probability a student gets a Bachelor of Arts degree is P(Arts)=0.6 . The study also shows that the probability a student gets no degree is P(no)=0.2 .
A - The probability a student gets a Bachelor of Arts and Science degree is:
a) 0.3.
b) 0.6.
c) 0.1.
d) 0.2.
B - The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is:
a) 0.9.
b) 0.3.
c) 0.6.
d) 0.8.
C - The probability a student gets only a Bachelor of Arts degree is:
a) 0.1.
b) 0.5.
c) 0.3.
d) 0.6.
D - The probability a student gets a Bachelor of Arts and Science degree is:
a) 0.5.
b) 0.1.
c) 0.3.
d) 0.2.
E - If getting a Bachelor of Science degree is independent of getting a Bachelor of Arts degree, the probability of getting a Bachelor of Arts and Science degree is:
a) None of the answer options are correct.
b) 0.18.
c) 0.1.
d) 0.2.
Answer:
(A) c) 0.1
(B) a) 0.9
(C) b) 0.5
(D) b) 0.1
(E) b) 0.18
Step-by-step explanation:
Given;
P(science) = 0.3
P(Arts) = 0.6
P(no degree) = 0.2
(A) The probability a student gets a Bachelor of Arts and Science degree;
= 1 - [P(science) + P(Arts)]
= 1 - (0.6 + 0.3)
= 1 - 0.9
= 0.1
(B) The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is
= P(Science) + P(Arts)
= 0.3 + 0.6
= 0.9
(C) The probability a student gets only a Bachelor of Arts degree is
= P(Arts ) - P(Science and Arts)
= 0.6 - 0.1
= 0.5
(D) The probability a student gets a Bachelor of Arts and Science degree is:
1 - [P(science) + P(Arts)]
= 1 - (0.6 + 0.3)
= 1 - 0.9
= 0.1
(E) Independent case
= P(Science) and P(Arts)
= 0.3 x 0.6
= 0.18
4 groups of ___ tenths is 1.6
Given:
4 groups of ___ tenths is 1.6.
To find:
The value for the blank.
Solution:
Let the unknown value be x.
4 groups of x tenths is 1.6.
[tex]4x=1.6[/tex]
Divide both sides by 4.
[tex]\dfrac{4x}{4}=\dfrac{1.6}{4}[/tex]
[tex]x=0.4[/tex]
So, 4 groups of 0.4 tenths is 1.6.
Therefore, the required answer for the blank is 0.4.