A new car has a sticker price $20,880, while the invoice price paid on it was
$17,920. What is the percent amount of markup?
A. 14.18%
B. 16.52%
C. 46.19%
D. 53.81%
SUBMIT

Answer:

³√3375

Step-by-step explanation:

Hope this will help guys

Answer: The graph has a line of symmetry at y = 0.

Step-by-step explanation:

I suppose that this refers to the function:

f(x) = IxI

The parent absolute value function.

Remember how this works:

IxI = x if x ≥ 0

IxI = -x if x ≤ 0.

Let's analyze the sentences:

1) "The x- and y-intercepts are (0,0)"

This is true, when x = 0 we have:

y = f(0) = I0I = 0

So the point (0, 0) is the only x-intercept and the only y-intercept.

2) "Domain: (-∞,∞); Range: [0,∞)"

This is also true, we clearly do not have any restriction in the domain.

And when looking at the range, we can see that the possible values of y are always positive or zero.

3) "(0, 0) is the minimum point."

Now, as x increases in the positive range, also does the value of y.

And as x decreases in the negative range, as the absolute value changes the sign, we will also have an increase in the value of y.

Then we have that (0, 0) must be the minimum.

4) "The graph has a line of symmetry at y = 0."

This is false.

The real line of symmetry is at x = 0, y = 0 corresponds to the x-axis, and as the graph opens up, we can not have symmetry about any line parallel to the x-axis.

Answer:

B.

Step-by-step explanation:

The graph has a line of symmetry at y = 0.

Answer:

See below

Step-by-step explanation:

x = amount of 30 % alcohol to use     total amount of alcohol = .30 x

25-x = amount of 5% alcohol to use    total amount of alcohol = .05 (25-x)

total alcohol in ingredients = total alcohol in end product

  .30x   +  .05(25-x)             =    .15 (25)

    .25x + 1.25 = 3.75

         x = 10 gal = 30%     then 5 % = 25-10 = 15 gal

It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX

Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:

Diagonal WY bisects angles ZWX and ZYX because:

all corresponding parts of both triangles are congruent. (Option A).

If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.

Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.

If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).

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According to the computation, each ticket is $37.5 is t = ($175 - $25)/4.

An equation is a formula that uses the equals symbol (=) to denote the equality of two expressions. Multiple languages may have somewhat distinct meanings for the term equation and its cognates.  For instance, in English, an equation is any properly constructed formula that consists of two expressions joined by the equals sign, whereas in French, an equation is any well-formed formula that contains one or more

variables 5.

Given the overall cost of parking and four tickets for a baseball game = $175.00

cost of parking = $25

The price of 4 tickets = $175 - $25

let cost of each ticket is t

t =($175 - $25)/4

cost of each ticket is $37.5

Therefore, the formula for a ticket is

t = ($175 -$25)/4, cost of ticket is $37.5.

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Answer:

  9) D: (-4, 4]; R: [-6, -4]

  10) D: [-5, -5]; R: (-7, ∞)

Step-by-step explanation:

You want the domain and range of the relations shown on the given graphs.

The domain of a relation is the set of x-values for which it is defined. An open circle indicates that point is not included in either the domain or range.

The range of a relation is the set of y-values that the relation produces. An open circle indicates the y-value at that point is not in the range.

The graph has an open circle at x = -4 on the left, and a solid dot at x = 4 on the right. All of the x-values between these have corresponding y-values.

The domain is (-4, 4].

The bottom (minimum) of the curve lies on the line y = -6, so that is the lowest value in the range. The relation produces all y-values between -6 and -4. The solid dot at (4, -4) means -4 is included in the range.

The range is [-6, -4].

The vertical line at x=-5 means -5 is the only value in the domain.

The domain is [-5, -5].

The vertical line extends upward from an open circle at y = -7. The open circle means -7 is not part of the range.

The range is (-7, ∞).

Answer:

9)  Domain:  (-4, 4]

    Range:  [-6, -4]

10)  Domain:  [-5]

    Range:  (-7, ∞)

Step-by-step explanation:

Definitions

An open circle indicates the value is not included in the interval.

A closed circle indicates the value is included in the interval.

An arrow shows that the function continues indefinitely in that direction.

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

Domain & Range

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the minimum x-value is x = -4 and the maximum x-value is x = 4.

There is an open circle at endpoint (-4, -4).  Therefore, x = -4 is not included in the domain.

There is an closed circle at endpoint (4, -4).  Therefore, x = 4 is included in the domain.

Therefore, the domain of the relation is restricted:  (-4, 4]

From inspection of the graph, the minimum y-value is y = -6 and the maximum y-value is y = -4.

This maximum value is included in the range since there is a closed circle at (4, -4).

Therefore, the range of the relation is restricted:  [-6, -4]

From inspection of the graph, the line is a vertical line at x = -5.

Therefore, the domain of the relation is restricted to x = -5:  [-5]

From inspection of the graph, the minimum y-value is x = -7.  

This minimum value is not included in the range since there is an open circle at (-5, -7).

There is an arrow on the other endpoint of the line, indicating that the line continues indefinitely in that direction.

Therefore, the range of the relation is restricted:  (-7, ∞)

Answer:

x=−3.207703,−1.142291,2.183328

Step-by-step explanation:

x−6x3−13x2+34x+48=0

−6x3−13x2+35x+48=0

1. Use cubic formula.

x=−3.207703,−1.142291,2.183328

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Answer: I-

ok

Step-by-step explanation:

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charlidamelio

Answer:

1.≤

2.≤

3.≤

4.≤

5.≤

6.≤

Step-by-step explanation:

di po ko sure kung tama po yan

Answer:

\(\frac{1}{6}^{2}\)

Step-by-step explanation:

Assuming you want the answer for the picture you provided...

1/6 * 1/6 = 1/32

Answer:

A is the answer.

Step-by-step explanation:

Because 36 times 3 is 108

Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

The Solution:

The given system of equations are:

We are asked to solve using the Substitution Method.

Step 1:

From eqn(1), we shall find x in terms of y.

Putting eqn(3) into eqn(2), we get

Clearing the brackets, we get

Dividing both sides by 5, we get

Substituting -2 for y in eqn(3), we have

Therefore, the correct answer is x=0, y= -2

Answer:

Quartiles are special percentiles. The first quartile, Q1, is the same as the 25th percentile, and the third quartile, Q3, is the same as the 75th percentile. The median, M, is called both the second quartile and the 50th percentile.

Step-by-step explanation:

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Answer: 36

Step-by-step explanation:

\( \frac{13}{16} x - \frac{3}{8} x = \frac{2}{5} + \frac{3}{10} \\ = > \frac{13x - 6x}{16} = \frac{4 + 3}{10} \\ = > \frac{7x}{16} = \frac{7}{10} \\ = > x = \frac{7}{10} \times \frac{16}{7} \\ = > x = \frac{16}{10} \\ = > x = \frac{8}{5} \)

\(s = \frac{2x + t}{r} \\ = > rs = 2x + t \\ = > rs - t = 2x \\ x = \frac{rs - t}{2} \)

Since molly's solution tally's with the given solution, hence Molly's solution is correct.

Given the working on a partial product of 93 and 51 carried out by Molly as shown:

\(\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}​\)

This partial product can also be solved as shown below:

\(93 \times 51 = (90+3)\times (50+1)\)

Applying the distributive law:

\(93 \times 51 = 90(50) + 90(1) + 3(50) + 3(1)\\93 \times 51 =4500 + 90 + 150 + 3\\93 \times 51 =4500+240+3\\93 \times 51 =4740+3\\93 \times 51 =4743\)

Since molly's solution tally's with the given solution, hence Molly solution is correct.

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The expression x - 35 represents the discounted price before tax. The expression 0.12x represent the amount of sales tax.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression given which models the final price of a scooter with an instant rebate in a state that charges sales tax is:

⇒ 0.12x + (x - 35)

As per the given expression,

The discounted price before tax = x - 35

The amount of sales tax = 0.12x

Thus, the expression x - 35 represents the discounted price before tax and the expression 0.12x represent the amount of sales tax.

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Answer:

4

Step-by-step explanation:

Answer:

It is the case of dependent probability sl i think you need to multiply the two probabilities (not sure)

Therefore, it is not even chance, but it is also not very unlikely. It is moderately likely that a yellow marble will be selected on the first draw.

Probability is a branch of mathematics that deals with the study of random events and their likelihood of occurring. It is a measure of the likelihood or chance of an event happening. Probability is expressed as a number between 0 and 1, where 0 means the event is impossible, and 1 means the event is certain.

In other words, probability is a way of quantifying uncertainty. It is used in various fields, such as statistics, physics, finance, engineering, and more, to help make predictions and decisions based on uncertain information. Probability theory provides a set of rules and tools for analyzing and manipulating random variables and events, and for calculating the probability of complex events.

The likelihood of a yellow marble being selected on the first draw can be calculated by dividing the number of yellow marbles by the total number of marbles in the bag:

likelihood of selecting a yellow marble = number of yellow marbles / total number of marbles

So, in this case, the likelihood of selecting a yellow marble on the first draw is:

likelihood of selecting a yellow marble = 2 / (3 + 2 + 1) = 2/6 = 1/3

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To be 95% confident that the estimate of the Percentage of computers with a new operating system is in error by no more than 4 percentage points, the programmer needs to survey at least 601 computers.

The sample size (n) needed to estimate the percentage of computers using a new operating system with a 95% confidence level and an error margin of no more than 4 percentage points, we need to use the formula for sample size estimation for proportions.

The formula is:

n = (Z^2 * p * (1-p)) / E^2

Where:

- n is the sample size

- Z is the z-score corresponding to the desired confidence level (for 95% confidence level, the z-score is approximately 1.96)

- p is the estimated proportion (since nothing is known about the percentage of computers with the new operating system, we assume p = 0.5 for maximum variability)

- E is the desired margin of error (in this case, 4 percentage points, which is 0.04 in decimal form)

Now, let's substitute the values into the formula and calculate the sample size (n)

n = (1.96^2 * 0.5 * (1-0.5)) / 0.04^2

n = (3.8416 * 0.25) / 0.0016

n = 0.9604 / 0.0016

n ≈ 600.25

Since the sample size must be a whole number, we round up to the nearest integer.

n = 601

Therefore, to be 95% confident that the estimate of the percentage of computers with a new operating system is in error by no more than 4 percentage points, the programmer needs to survey at least 601 computers.

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Answer:

45

Step-by-step explanation:

Just plug in 12 wherever "z" is so,

\(5^2-\frac{12}{3} +2(12)\)    simplify the equation  ⇒ \(25-4+24\)

25-4=21

21+24=45

subtract and add as needed and finally our answer is

45

Answer:

Step-by-step explanation:

1. This paragraph describes an observational study.

It is not a controlled experiment because the guidance counselors didn't plan to separate the students into 2 groups and then observe the results. They instead checked records.

2. The students who took Latin are the treatment group.

3. The fact that students decided on their own to take Latin is a confounding factor.

4. The students who did not take Latin are the placebo or control group.

Answer:

A

Step-by-step explanation:

It is not B because 7x^2 means multiplying the equation by seven. It isn't C because that would move the graph DOWN seven units. And it's not D because when it is in parenthesis like that, it means that it is a horizontal shift, not vertical.

Answer:

A. G(x) = \(x^2+7\)

Step-by-step explanation:

→For the function to shift upwards 7 units, 7 must be added to the function, like so:

G(x) = \(x^2+7\)

→F(x) + c (in this case is 7), cases a vertical shift and the function is moved "c," units. The graph would shift downwards if 7 was being subtracted.

This means the correct answer is A.

Answer:

a

Step-by-step explanation:

the data is represented in the dot plot

Answer:

answer is 77.67

Step-by-step explanation:

explain by the x axis is 68 to y axis is 84 so the median is 77.67