The value of a car dropped from $35,600 to $30,189 over the last year. Determine the absolute and relative

change in this situation. Round your answer to the nearest hundredth.


Absolute change=


Relative change=

Answers

Answer 1

Step-by-step explanation:

Given data

old price= $35,600

new price=$30,189

Absolute change= old price -new price

Absolute change=35,600-30,189

Absolute change=5411

Relative change=(old price -new price)/old

Relative change=(35,600-30,189)/35,600

Relative change=5411/35,600

Relative change=0.151

the relative change is a percentage= 0.151*100= 15.1%


Related Questions

question 5 i mark as brainliest ​

Answers

Answer:

5,129

Step-by-step explanation:

Answer:

C. 5129

Step-by-step explanation:

5.129 x [tex]10^{3}[/tex]

you will move the decimal to the right 3 times.

Jill is building a wooden-raised bed garden for her vegetables. She wants the frame to have dimensions x feet by x + 3 feet. If she wants the garden to have a maximum area of 50 square feet, what are the possible values of x?

[−8.728, 5.728]
[1, 5.728]
[−3, 5.728]
(0, 5.728]

Answers

Answer:

its d

Step-by-step explanation:

thank the guy up top

Using quadratic formula, the possible values of x lies in [0, 5.728].

What is a quadratic formula?

The quadratic formula is a formula that provides the solution to a quadratic equation.

[tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \\\\when\ ax^2 + bx + c = 0\\a, b, c = constants, \\where\ a != 0\\x= the\ unknown[/tex]

The equation in the given question is-

[tex](x+3)(x) < =50\\\\x^{2} +3x-50 < =0\\\\x^{2} +3x-50=0\\\\x = \frac{-3 +\sqrt{9+4*50} }{2} ,\frac{-3 -\sqrt{9+4*50} }{2}\\\\x = \frac{-3 +\sqrt{209} }{2} ,\frac{-3 -\sqrt{209} }{2}\\\\\\x = -8.728, 5.728\\\\x =[-8.728, 5.728][/tex]

But, x cannot be negative so x lies in [0, 5.728].

Learn more about quadratic formula here

https://brainly.com/question/2615966

#SPJ2

This coordinate grid shows where Alberto's school is located. Each unit represents one block. Alberto's house is at (3,4). The library is located at the reflection of (3,4) across the y-axis.

PART A
What are the coordinates of the library?Explain how you know.

PART B
not needed
PART C
Use absolute value to find the distances from Albertos house to the school and from Albertos house to the library.

Answers

Answer:

Part A) -3, 4 Part C) 12 i think

Step-by-step explanation:

Answer:

Part A-(3,4)

Part B- 2 units

Step-by-step explanation:

Part A- (x,y)--->(-x,y)

Business Loss A company loses $40 as a result of a shipping delay. The 2 owners of the company
must share the loss equally. Write an expression for the earnings per person. Evaluate the
expression.
Write an expression for the earnings per person. Choose the correct answer below.
+
OA. - 2+(-40)
OB. 2+(-40)
OC. 40+ (-2)
OD. - 40 + 2

Answers

Answer:

b

Step-by-step explanation:

The equations of sides of a triangle are 2x-3y+5=0, 2x+y=7 and 2x+5y=3. Find the coordinates of the vertices.

Answers

Answer:

Vertices A B y C

A ( 2 , 3 )    B ( -1 , 1 )  C ( 3, 1 )

Step-by-step explanation:

We have to solve a two-equation system, by pair of equations as follows

equation (1)   2x - 3y + 5 = 0

equation (2)  2x + y -7    = 0

Solving this system we find let´s say vertex A

0x - 4y +12 = 0      y = 3

Then x ?

2x - 3y + 5 = 0

2x - 9 + 5 = 0     ⇒ 2x = 4     x = 2

Then vertex A ( 2 , 3 )

From equation (1) and (3)

2x - 3y + 5 = 0

2x + 5y - 3 = 0

Agan subtracting (1) - (2)

0x -8y + 8 = 0

y = 1    and      

2x + 5y = 3

2x + 5 = 3

2x = -2

x = -1

Vertex B ( -1 , 1 )

Finally from equation (2) and (3) we get the third vertex C

2x + y - 7 = 0

2x + 5y - 3 = 0

0x -4y -4 = 0

y = 1

2x + y = 7

2x + 1 = 7

2x = 6

x = 3

C ( 3 , 1 )

Numbers like 10,100,1,000, and so on are called?

Answers

Answer:

They are called powers of ten

Step-by-step explanation:

A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?

Answers

Answer:

im guessing 35mph

Step-by-step explanation:

Answer:

30 mph and 40 mph

Step-by-step explanation:

It is the same with the speed and water.

The following list has a mean of 24. What would be the new mean if 17 was added to the list? 12,30,19,27,21,35

Answers

Answer:

23

Step-by-step explanation:

Answer:

The new mean should be 23.

Step-by-step explanation:

The mean of a group of numbers is the average.

We can find the average of a group of numbers by adding them all together and then dividing the final sum by the amount of numbers in the list.

All the numbers added together totaled to 161, and 161 divided by 7 equals 23.

Hope this helps!

What is the slope of the line shown below? 1/6 -5/-7


Answers

Answer: C. 13/6

Step-by-step explanation:

The slope is always rise over run. So when going from the coordinate (-5,-7) to the coordinate (1,6) we go up 13 then go to the right 6. And since we went up and to the right it is a positive slope.

In the number 789.466 the digit in the hundredths place is______ the value of the digit in the thousandths place?​

Answers

Answer:

hundredths --> 6

thousandths value --> 0.006

Step-by-step explanation:

hundredths is the value two places to the right of the decimal point, which is currently 6.

The value of the digit in the thousandths place, which is 3 places to the right of the decimal place, is 6, but the value of the 6 is actually 0.006, because it is in the thousandths place, just like 700 would be the value of the digit in the hundreds place.

need help with this please

Answers

Answer:

ok

Step-by-step explanation:

                                                              ...............................................................

Answer:

I can't relly see can you take a cloeser pick

Question 1 of 3 NE A scale drawing of a fishing boat has a scale of 1 cmn to 2 meters. If the length of the fishing boat is 6 cm on the scale drawing, what is the actual length of the fishing boat?​

Answers

Answer:

12 meters

Step-by-step explanation:

Given

[tex]Scale= 1cm:2m[/tex]

Required

Determine the measurement when the scale reads 6cm

Represent this scale with x;

Such that:

[tex]Scale = 6cm:x[/tex]

Equate

[tex]Scale= 1cm:2m[/tex] and [tex]Scale = 6cm:x[/tex]

[tex]1cm:2m = 6cm:x[/tex]

Express as fraction

[tex]\frac{1cm}{2m} = \frac{6cm}{x}[/tex]

Cross Multiply

[tex]x * 1cm = 6cm * 2m[/tex]

[tex]x * 1 = 6 * 2m[/tex]

[tex]x = 6 * 2m[/tex]

[tex]x = 12m[/tex]

A furniture factory makes 250 tables each day. Create an equation that can be used to find the total number of tables made, y, after x days.

Answers

Answer:

The equation would be y=250x

Step-by-step explanation:

They are making 250 tables a day (x)

we put the x next to the 250 because that number will change everyday.

y would equal our total

Solve: x^2=10
A) x= +5
B) x= +100
C) x= +3.5
D) x= 10 squared

Answers

Answer:

D) x=√10

Step-by-step explanation:

√(10)=3.16(approximately )

What is 2/3 x 3/4 please help

Answers

Answer:

1/2

Step-by-step explanation:

1/2 is the right answer

A professor is interested in comparing the characteristics of students who do and do not vote in elections. For a random sample of 114 students who claimed to have voted in the last presidential election, she found a mean CPA of 2.71 and a standard deviation of 0.64. For an independent sample of 123 students who did not vote, the mean CPA was 2.79 and the standard deviation was 0.56. Test at the 5% level of significance if the mean CPA of all students who vote is lower than the CPA of students who do not vote.

Answers

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to conclude that the mean CPA of all students who vote is lower than the CPA of students who do not vote

Step-by-step explanation:

From the question we are told that

       The first sample size  is  [tex]n_1 =  114[/tex]

       The sample mean is  [tex]\= x_1 =  2.71[/tex]

       The standard deviation is  [tex]s_1 =  0.64[/tex]

      The second sample size is   [tex]n_2 =  123 [/tex]

      The sample mean is   [tex]\= x_2 =  2.79[/tex]

      The level of significance is  [tex]\alpha  =  0.05[/tex]

      The standard deviation is   [tex]s_2 =  0.56 [/tex]

The null hypothesis is  [tex]H_o  :  \mu_1 = \mu _2[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 <  \mu_2[/tex]

Generally the test hypothesis is mathematically represented as

      [tex]t =  \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2}  } }[/tex]

=> [tex]t =  \frac{2.71 - 2.79}{ \sqrt{ \frac{0.64^2 }{ 114} + \frac{0.56^2}{123}  } }[/tex]

=> [tex]t =  -1.01 [/tex]

Generally given that variance are not equal (the standard deviation  squared of both population are not equal ) the degree of freedom  is mathematically represented as

[tex]df  =  \frac{[\frac{s_1^2}{n_1 } + \frac{s_2^2}{n_2}  ]}{\frac{[\frac{s_1^2}{n_1}]^2 }{n_1 - 1} + \frac{[\frac{s_2^2}{n_2}]^2 }{n_2 - 1}}[/tex]

=>  [tex]df  =  \frac{[\frac{0.64^2}{114} + \frac{0.56^2}{123}  ]}{\frac{[\frac{0.64^2}{114}]^2 }{114 - 1} + \frac{[\frac{0.56^2}{123}]^2 }{123 - 1}}[/tex]

=>  [tex]df  =  225[/tex]

Generally from the t distribution table the the probability of  (t < -1.01) at a degree of freedom of [tex]df  =  225[/tex]is  

      [tex] p-value  = P(t <  -1.01 ) =  0.15679[/tex]

Generally the value obtained we see that  [tex]p-value  > \alpha[/tex] so

The decision rule is

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to conclude that the mean CPA of all students who vote is lower than the CPA of students who do not vote

I need to find what the square root is to 19,478,730. my teacher literally put that. help​

Answers

Answer: 4413.5

Step-by-step explanation:

4413.47142 if you need to be exact

PLEASE HELP!

Equation: 4(x-6)-8=5(x-7)-x

Answer choices:

A. 0
B. All real numbers
C. No solution
D. Non of the above

I chose C but I wanted to get some confirmation. Thanks!

Answers

Answer:

0, it has no solution.

Step-by-step explanation:

PRACTICE ANOTHER Is 4a a factor of 2a · 38b? (Assume that a and b represent integers.) Yes, because 4 is a multiple of 38. Yes, because 2a · 38b = 4a · 19b where 4a and 19b are integers because a and b are integers and products of integers are integers. Yes, because 4a is a divisor of 38b. No, because 38 is not a divisor of 4. No, because 2a · 38b = 4a · 19b where 4a and 19b are not necessarily integers because products of integers are not always integers.

Answers

Answer:

Yes, [tex]2a . 38b = 4a . 19b[/tex]

Step-by-step explanation:

Given

[tex]Expression: 2a.38b[/tex]

Required

Is 4a a factor of the expression?

Analyzing each option.

1.

[tex]2a . 38b = 4a . 19b[/tex]

[tex]76ab = 76ab[/tex]

The above expression is true.

Hence: This option answers the question

Triangle BIG is similar to triangle MOP . Find v .

Answers

Answer:

63:42

so this is

3:2

[tex] \frac{33}{3} = \frac{v}{2} [/tex]

[tex]v = \frac{2 \times 33}{3} = \frac{66}{3} = 22[/tex]

v=22

The value of v should be considered as the 22 when the Triangle BIG is similar to triangle MOP.

Calculation of the value of v:

Since as per both the figures we can write the ratio like  63:42 so it can be like 3:2

So the calculation could be done below

[tex]33 \div 3 = v \div 2\\\\v = 2 \times 33 \div 3\\\\= 66 \div 3[/tex]

= 22

Hence, The value of v should be considered as the 22 when the Triangle BIG is similar to triangle MOP.

Learn more about triangle here: https://brainly.com/question/9721655

kyle has 105 baseball cards and must give 2/5 of his cards away. how many cards will kyle give away? what fraction of his cards does he have left?

Answers

He has 3/5 of his cards left because he had 62/105 of his cards and that simplified is 3/5

HURRY ON A TIMER PLEASE HELP

which shows all the like terms in the expression ​

Answers

Answer:

the second one -3and1 :4x and 7x

Step-by-step explanation:

Answer:

-3 and -1; 4x and 7x

Step-by-step explanation:

like terms are the numbers with the same variable

eg. 4x^2 and 6x aren't like terms, but 2x^4 and 3x^4 are

Question 2 (4 points)
A student rolled two six-sided dice. what is the probability that the first die landed
on a number less than 3 and the second die landed on a number greater than 3?

Answers

Answer:

Step-by-step explanation:

Can someone help me to do this cause i don’t know what to do

Answers

Answer:

ohh

Step-by-step explanation:

Woah it’s like the back of a milk label...

can someone help me it is math please I will mark brainlist

Answers

Answer:

The difference of a number and seven → n - 7The sum of seven and a number → n + 7The product of seven and a number→ 7nThe quotient of a number and seven → [tex]\frac{n}{7}[/tex]  

Step-by-step explanation:

Difference = subtraction, so the difference of a number and seven is n - 7Sum = addition, so the sum of seven and a number is n + 7Product = multiplication, so the product of seven and a number is 7nQuotient = division, so the quotient of a number and seven is [tex]\frac{n}{7}[/tex]

I hope this helps!

Answer:

1 goes to n-7

2 goes to n+7

3 goes to 7n

4 goes to n/7

Step-by-step explanation:

Using the model of 3.33, how dose the 3 in the one place compare to the 3 in the place to its right

Answers

Answer:

The 3 in the tens place is worth 10 times the 3 in the ones places.

Step-by-step explanation:

Have a great day :)

Plz help
(5x)2 square = X2square

Answers

Answer:

± 25

Step-by-step explanation:

2x + 7 = 13
Please help

Answers

Answer:

x=3

Step-by-step explanation:

Hope this helps u..

Determine whether a statement is True or False. If it is False, provide an explanation or give an example:

Answers

Complete Question:

Determine whether the statement is true or false. If it is false, provide an explanation or give an example.

If f is decreasing on [a,b] then the minimum value of f(x) on [a,b] is f(a)?

Answer:

False

Step-by-step explanation:

Given

[a,b]

Where f(x) is decreasing

Required

Is the minimum f(a)?

This statement is false and it is proved using the following illustration

Take f(x) to be

[tex]f(x) = -2x[/tex]

The above represents a decreasing function because:

f(x) decreases as x increases

Having said that:

Assume [a,b] is:

[tex][a,b] = [2,5][/tex]

Substitute the value of a i.e. 2 for x in f(x)

[tex]f(2) = -2 * 2[/tex]

[tex]f(2) = -4[/tex]

Substitute the value of b i.e. 5 for x in f(x)

[tex]f(5) = -2 * 5[/tex]

[tex]f(5) = -10[/tex]

Notice that f(b) < f(a) i.e. -10 is less than -4

Hence:

f(x) is minimum at f(b)

Conclusively, the statement is false

77 is 0.7% of what number?

Answers

Answer:

0.7% of 77 = 0.54 0.7%

Step-by-step explanation:

hope this helps

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