[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{-16})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{5}-\stackrel{y1}{(-16)}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{8}}} \implies \cfrac{5 +16}{-7} \implies \cfrac{ 21 }{ -7 } \implies - 3[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-16)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{8}) \implies y +16 = - 3 ( x -8) \\\\\\ y+16=-3x+24\implies {\Large \begin{array}{llll} y=-3x+8 \end{array}}[/tex]
WILL MARK BRAINLYSINT
You drive a school bus in a suburb. You record the number of minutes that it takes to complete your daily route for two months. The data are listed in a frequency table. You need to describe the typical route time.
Which measure best describes the typical route time?
mean
spread
median
weighted mean
none of the above
The measure best describes the typical route time is, Median. So option C is correct.
What is the median?The middle number or piece of data in a collection is known as the median. Three alternative metrics are employed in mathematics to determine the average value for a given group of integers. They are the mode, median, and mean. The measures of central tendency are this trio of measurements.
Median = {(n+1)/2}th term (for odd)
Median = [(n/2)th term + {(n/2)+1}th term]/2 (for even)
The median is the middle value in a set of data, and is often used to describe the typical or central value in a dataset. Unlike the mean, which can be affected by extreme values, the median is not sensitive to outliers and provides a better representation of the typical value in the dataset.
For example, if the bus route times are listed in a frequency table, the median can be found by ordering the values and finding the middle value (or the average of the two middle values, if the number of observations is even).
In the context of driving a school bus, the median route time would give the most accurate representation of the typical time it takes to complete the daily route, and would provide a better indicator of the bus driver's performance than the mean or any other measures of central tendency.
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The following are the weights of 10 young dogs, in pounds: 7,5, 11, 8, 14, 19, 16, 15, 13, 27 Find the sample variance (round off to first decimal place).
the Sample variance is. [tex]$s^2[/tex]=41.4
Sample variance can be defined as the expectation of the squared difference of data points from the mean of the data set. It is an absolute measure of dispersion and is used to check the deviation of data points with respect to the data's average.
Sample variance is used to measure the spread of the data points in a given data set around the mean. All observations of a group are known as the population. When the number of observations start increasing it becomes difficult to calculate the variance of the population. In such a situation, a certain number of observations are picked out that can be used to describe the entire group. This specific set of observations form a sample and the variance so calculated is the sample variance.
the weights of 10 dogs in pounds 7,5,11,8,14,19,16,15,13,27
Sample size, [tex]$n=10$[/tex]
Sample mean
[tex]\begin{aligned}\bar{x}=\frac{\sum x}{n} & =\frac{7+5+11+8+14+19+16+15+13+27}{10} \\& =\frac{135}{10}=13.5\end{aligned}$$[/tex]
Sample Variance
[tex]\begin{aligned}& \begin{array}{r}\text { } \\\left(s^2\right)\end{array} \frac{1}{n-1} \sum_{i=1}^n\left(x_i-\bar{x}\right)^2 \\& =\frac{1}{10-1}\left[(7-13.5)^2+(5-13.5)^2+(11-13 \cdot 5)^2+(8-13.5)^2+(14-13 \cdot 5)^2+\right. \\& (19-13 \cdot 5)^2+(16-13 \cdot 5)^2+(15-13 \cdot 5)^2+(13-13 \cdot 5)^2+(27-13.5)^2 \\& =\frac{1}{9}[42.25+72.25+6.25+30.25+0.25+30.25+6.25+2.25+ \\& 0.25+182.25 \text { ] } \\& =\frac{1}{9}[372.5] \\& =41.38888889 \approx 41.4 \\&\end{aligned}[/tex]
Therefore, the Sample variance is. [tex]$s^2[/tex]=41.4
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Choose all sequences of transformations that produce the same image of a given figure.
None of the sequence of transformation not produce the same image
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A reflection across the x-axis, then a counter-clockwise rotation 90 degrees
The rule of reflection across the x-axis is:
(x, y)--->(x, -y)
The rule of 90 degrees counter-clockwise rotation is:
(x, y)--->(-y, x)
So, we have:
(x, -y)--->(y, x)
(x, y) and (y, x) are different.
Hence, this sequence of transformation does not produce the same image
Hence, none of the sequence of transformation not produce the same image
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Answer:
A, C, D
Explanation:
I just did the assignment on edge
1. (01.01 HC) Why is cube root of 4 equal to 4 to the one third power question mark (1 point) 4 to the one third power all cubed equals 4 to the one third divided by 3 power equals 4 to the first power equals 4 4 to the one third power all cubed equals 4 to the one third times 3 power equals 4 to the first power equals 4 4 to the one third power all cubed equals 4 to the one third plus 3 power equals 4 to the first power equals 4 4 to the one third power all cubed equals 4 to the one third minus 3 power equals 4 to the first power equals 4
Answer:
B
Step-by-step explanation:
You want to know why ∛4 = 4^(1/3).
Rules of exponentsThe applicable rule of exponents is ...
(a^b)^c = a^(bc)
a^1 = a
Cube rootThe cube root of a number is the value that, when cubed, gives the original number.
Cube root of 4Let x represent the exponent of a cube root. Then the cube root of 4 must satisfy ...
(4^x)^3 = 4
Simplifying, using the rules of exponents, we have ...
4^(3x) = 4^1
Equating the powers tells us ...
3x = 1
x = 1/3 . . . . . divide by 3
That is, ...
(4^(1/3))^3 = 4^(3/3) = 4^1 = 4 . . . . . . . matches answer choice B
__
Additional comment
By extension, the n-th root is equivalent to the power 1/n.
We can prove that a cube root of 4 is equal to 4 to the one-third power by the rule of the exponent.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, a cube root of 4 equal to 4 to the one-third power
Rules of exponents
Since The applicable rule of exponents is
(a^b)^c = a^(bc)
a^1 = a
Cube root:
The cube root of a number is the value that, when cubed, gives the original number.
Cube root of 4:
Let x represent the exponent of a cube root. Then the cube root of 4 will be:
(4^x)^3 = 4
Simplifying, using the rules of exponents
4^(3x) = 4^1
Equating the powers
3x = 1
x = 1/3 . . . . . divide by 3
therefore,
=> (4^(1/3))^3 = 4^(3/3) = 4^1 = 4
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your starting salary for a company is 32,750 a year. in your contract, you are to receive an annual raise of 2.5% each year. what will be your salary after 10 years?
The amount of salary after 10 years is, 304,902.5
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Your starting salary for a company is 32,750 a year.
And, In your contract, you are to receive an annual raise of 2.5% each year.
Now, The amount of salary after 10 years is,
⇒ A = 32,750 (1 + 0.25)¹⁰
⇒ A = 32,750 × (1.25)¹⁰
⇒ A = 32,750 × 9.31
⇒ A = 304,902.5
Thus, The amount of salary after 10 years = 304,902.5
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need help this is not a test
Answer:
Step-by-step explanation:
its a trick question put the first three in order.
solve the inequality square root of c plus 9 end root minus square root of c greater than square root of 3. show all work, including testing and verifying your solution set. full credit will not be given if you do not include this in your work.
Our solution set is correct because it contains valid solutions.
We want to eliminate the inequality:
√c + 9 - √c > √3
First, we simplify the inequality's left side:
9 - √c > √3
Following that, we square both sides of the inequality:
81 - 2√c + c > 3
Now we simplify the inequality's right side:
c + 78 > 3
Finally, take 78 off both sides of the inequality:
c > -75
This gives us the following solution set:
c ∈ (-∞, -75) U (-75, ∞)
We test a value from each interval to validate our solution set:
Let's go with c = -100, which is in the range (-, -75). Putting it into context with the original inequality:
√(-100) + 9 - √(-100) > √3
Because the square root of a negative number is not defined, this choice of c is invalid.
Let us choose c = 0, which is in the range (-75,). Putting it into context with the original inequality:
√0 + 9 - √0 > √3
Because 9 > 3, this choice of c is a valid solution.
We can conclude that our solution set is correct because it contains valid solutions.
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Which of the following categorical variables are considered nominal? A.Exchange on which a stock is traded (AMEX, NYSE, NASDAQ, Other)
B.Product Quality (Poor, Fair, Good, Excellent)
C.Gender (Male, Female)
D.Cell Phone Provider (AT&T, Verizon, T-Mobile, Boost, USCellular)
E.Student Designation (Freshman, Sophomore, Junior, Senior)
F.Level of education (Elementary School, Middle School, High School, College, Graduate School)
Exchange on which a stock is traded, gender, and cell phone provider, are all considered nominal variables. These are options A, C, and D.
A type of categorical variable that can have two or more categories is called a nominal variable. Within these categories however, there is no ordering. A nominal variable doesn't have any numerical characteristics, and it is qualitative in nature. When a variable has a proper numerical ordering, it is then known as an ordinal variable.
A nominal variable can be coded although we can't perform arithmetic operations on them. This means that nominal variables can't be quantified.
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Comparing the stages in a consumer and organizational purchase decision process reveals key differences. In organizations, becomes more important for deadlines and quality control, and since a long-term relationship is anticipated. Multiple Choice O purchase decision O choice variety O supplier audit O performance review O supplier capability
In organizations, supplier audit becomes more important for deadlines and quality control, and since a long-term relationship is anticipated. Hence, the correct answer is option c.
In the organizational purchase decision process, a supplier audit becomes more important compared to the consumer purchase decision process. This is because organizations need to ensure that the supplier they choose meets their standards for quality, reliability, and cost-effectiveness.
The supplier audit helps the organization to evaluate the supplier's capabilities and assess their ability to deliver on their promises.
Furthermore, since organizations often have deadlines and need to maintain quality control, a supplier audit is important for ensuring that the supplier is able to deliver the goods or services on time and to the required standard.
Since organizations anticipate a long-term relationship with their suppliers, a supplier audit helps to build trust and ensure that the supplier will be able to meet their needs for the long term.
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in 2010, the pew research center questioned 1433 adults in the u.s. to estimate the proportion of the population favoring marijuana use for medical purposes. it was found that 78% are in favor of using marijuana for medical purposes. state the individual, variable, population, sample, parameter and statistic.
"state the individual, variable, population, sample, parameter and statistic."
Individual: Adults in the U.S.Variable: Favorability towards using marijuana for medical purposesPopulation: Adults in the U.S.Sample: 1433 adults in the U.S.Parameter: Proportion of the adult population in the U.S. who are in favor of using marijuana for medical purposes.Statistic: 78% of the 1433 adults in the sample were in favor of using marijuana for medical purposes.An individual refers to a single person in a larger group being studied. In this case, the individual is an adult in the United States.
A variable is a characteristic or attribute that can change or take on different values. In this case, the variable of interest is the favorability towards using marijuana for medical purposes.
The population is the entire group of individuals being studied. In this case, the population is all adults in the United States.
A sample is a smaller portion of the population selected to represent the larger group. In this case, a sample of 1433 adults in the U.S. was selected.
A parameter is a numerical characteristic of a population. It is a fixed value that summarizes the population. In this case, the parameter of interest is the proportion of the adult population in the U.S. who are in favor of using marijuana for medical purposes.
A statistic is a numerical characteristic of a sample. It is a calculated value that summarizes the sample. In this case, the statistic of interest is the proportion of the 1433 adults in the sample who were in favor of using marijuana for medical purposes, which was found to be 78%.
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PLS HELP FAST I NEED HELP OR IM DEAD + BRAINLIEST
A 25-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 12 feet from the base of the building. How high up the wall does the ladder reach?
Answer:
b = 21.93
Step-by-step explanation:
This can be solved using Pythagorean theorem. Basically your hypotenuse or c is the length of the ladder, your base or a value is 12 and you're trying to find the height of the wall which is your b
[tex]a^2 + b^2 = c^2\\c^2 - a^2 = b^2\\(25)^2 - (12)^2 = b^2\\625 - 144 = b^2\\b= \sqrt{481} \\b = 21.93...\\b = 21.93[/tex]
Evaluate the expression 6+4x(3+4)
Step-by-step explanation:
Whenever you have brackets, you have to multiply the outside with all of the insides.
6 + 4x(3+4) = 6 + [ (4x×3) + (4x×4) ]
= 6 + [ 12x + 16x ]
= 6 + 28x
Answer: 6+28x
Choose ALL answers that describe the polygon MNOP if
MN = NO = OP = PM and m/M = m/N = m/0= m/P.
Parallelogram
Quadrilateral
Rectangle
Rhombus
Square
Trapezoid
Submit Answer
Only Square and Rhombus follows the given condition.
What are squares?
A square is a two-dimensional plane figure with four equal sides and all four angles are equal to 90 degrees. The properties of the rectangle are somewhat similar to a square, but the difference between the two is, a rectangle has only its opposite sides equal. Therefore, a rectangle is called a square only if all its four sides are of equal length.
The most important properties of a square are listed below:
All four interior angles are equal to 90°.All four sides of the square are congruent or equal to each other.The opposite sides of the square are parallel to each other.The diagonals of the square bisect each other at 90°.The two diagonals of the square are equal to each other.The square has 4 vertices and 4 sides.The diagonal of the square divides into two similar isosceles triangles.The length of diagonals is greater than the sides of the square.Area of square=(side)²
Perimeter of square=4*side
As we can see from given properties square follows given conditions
and for rhombus also all sides and angles are always equal.
Hence,
Only Square and Rhombus follows the given condition.
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solve -11 ≥ x - 20. then graph the solution.
Answer:
Step-by-step explanation:
Add 20 to both sides of the equation to get
9 >= x
Here is graph
I need help please with this
Answer:
see below
Step-by-step explanation:
T+R =25.5
R-T=13.5
add them together
2R =39
R=19.5
T=6
A cylinder has a diameter of 14 centimeters and a volume of 1000 cubic centimeters.
What is the height of this cylinder?
The height of the cylinder with a volume of 1000 cubic centimeters is 1000/49π cm or 6.5 cm.
What is the height of this cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Given that;
Diameter of cylinder = 14cmRadius r = Diameter/2 = 14cm/2 = 7cmVolume = 1000 cm³Height h = ?Plug the given values into the above formula and solve for h.
V = π × r² × h
1000 = π × ( 7 )² × h
1000 = 49π × h
h = 1000 / 49π
h = 1000/49π cm or 6.5 cm
Therefore, the value of the height h is 1000/49π cm or 6.5 cm.
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20. An event that is impossible has a probability of __________________.
An event that is impossible has a probability of 0.
What is the probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
The probability of an event that is impossible is 0. This means that there is no chance or likelihood of it occurring.
In probability, 0 represents the complete absence of any possibility of an event happening, while 1 represents a certain or guaranteed event.
All other values between 0 and 1 represent varying levels of uncertainty or likelihood.
Hence, An event that is impossible has a probability of 0.
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When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip from the movie, Die Hard 3. Characters, John McClane and Zeus Carver, are challenged with getting exactly 4 gallons of water on a scale using only a 5-gallon and 3-gallon container. The clock is ticking, and they only have seconds to spare. Sylvia uses this video clip as?
When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip. Sylvia uses this video clip as a discrepant event because students attached with science it would look like magic for them.
A discrepant occurrence is an unexpected, counterintuitive result that differs from what an observer would typically anticipate. Oobleck is a classic illustration of a discrepant event.
Most kids (who have never seen it before) wouldn't anticipate that it would have both solid and liquid qualities. They didn't anticipate it to spread out right away once the "ball" was placed on the table instead of rolling into a ball and taking shape.
The main factor is that pupils will develop an obsession with science. They will see this as "magic," and they will be very interested in learning how it worked. After that, they'll be prepared to "amaze" their friends with both the "trick" and their subsequently displayed "smarts."
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Due to delays, a company had to extend a project from 64 days to 125 days. What was the percentage increase in time to complete the project? Round your answer to the nearest tenth.
Answer:
195.3%
Step-by-step explanation:
125/64 ~ 1.953
Around 195.3%.
Cara lives 7/10 mile from school. One morning, she walks 1/5 mile towards school and meets her friend, Aaron. How far from school are they
Answer:
B-1/2 MILE
Step-by-step explanation:
The surface area of a cylinder with a radius of 3 inches is 78π
square inches. What is the height of the cylinder in inches? (Do not enter units)
Answer: 10
Step-by-step explanation:
Assuming that pi = 3.14
The height of the cylinder in inches is 10.
What is a cylinder?When two equal or identical and parallel bases are connected in a three-dimensional solid form makes a cylinder. These bases resemble spherical disks.
Given:
A cylindrical shape is given.
And the surface area of the shape is 78π.
And the radius of the cylinder is 3 inches.
That means,
2πrh + 2πr² = 78π
3h + 9 = 39
Subtracting 9 from both sides,
we get,
3h = 39 - 9
h = 30/2
h = 10
The height = 10 inches.
Therefore, the height is 10 inches.
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A man invests his savings in two accounts, one paying
6% and the other paying 10% simple interest per year.
He puts twice as much in the lower-yielding account
because it is less risky. His annual interest is $7612
dollars. How much did he invest at each rate?
Simple Interest Consider making an investment of $100 (the principal) at a 5% yearly rate for a year. Simple interest is calculated as follows: $100 multiplied by.05 percent per year for a total of $5 after a year.
What is the simple interest per year?Let x represent the sum of money invested at a simple interest rate of 6%. Let y represent the sum of money invested at a simple interest rate of 10%.
Decimalize the interest rates as follows: 6% equals 0.06 and 10% equals 0.10. The interest earned on the first account is equal to 0.06 times the interest rate multiplied by the amount invested.
Similar to the first account, the second account's interest earnings are calculated as the interest rate times the amount invested, or 0.10*y.
Now that we have the data from the problem, we need to model the scenario with two equations. Because it is less hazardous, the man invests twice as much in the lower-yielding account. Otherwise put,
[the investment amount at 6%] = [2] * [the investment amount at 10%]
We can represent this relationship in algebra as
x=2y
Therefore, the amount the man earns in interest is $4,180.
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Which function has the same end behavior as x approaches infinity as the function graphed here?
The function q(x)=4(0.5)^{x}+3 has the same end behavior as x approaches infinity as the function graphed here. Option C is the correct option.
What is a function?
A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain. Originally, functions were the idealization of how a varying quantity depends on another quantity.
Given graph function tends to a constant (a positive constant) when x tends to infinity.
Option A:
m(x) = -(0.3)^x - 3. The sign of -(0.3)^x is negative. Thus when x tends to infinity then m(x) tends to be a negative number.
Option B:
p(x) = -2(2)^x + 3. The sign of -2(2)^x is negative. Thus when x tends to infinity then p(x) tends to be a negative number.
Option C:
q(x) = 4(0.5)^x + 3. The sign of 4(0.5)^x is positive. Thus when x tends to infinity then q(x) tends to be a positive number.
Option D:
n(x) = 2(3)^x - 3. The sign of 2(3)^x is positive. Thus when x tends to infinity then p(x) tends to be infinity.
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Given P(–2, –7) and Q(3, 5), find the component form of the vector v from P to Q. v = LeftAngleBracket
Answer:
(-1 )
(-2 )
Here I can't merge the two brackets but you need to
Step-by-step explanation:
(-2+3) (-7+5) = (-1 -2) but it should be vertical and not horizontal
Answer:
v=<5,12>
Step-by-step explanation:
dot product warmup edge
K
Graph the equation y = |x|-2. Let x= -3, -2, -1, 0, 1, 2, and 3.
Find the following y-values. Then choose the correct graph of the equation to the right.
y
X
***
-3
The correct graph for the absolute function can be seen below and the table shows the y-values with their corresponding x-values.
x -3 -2 -1 0 1 2 3
y 1 0 -1 -2 -1 0 1
The graph of an absolute function.The graph of an absolute function looks like a V-shaped graph with its vertex of the given function y = |x| - 2 at (0,-2). From the table, we are going to determine the y-values by replacing the x-values with the equation to solve for the y-values.
Given that:
y = |x| - 2 = |-3| - 2 = 3 - 2 = 1
y = |x| - 2 = |-2| - 2 = 2 - 2 = 0
y = |x| - 2 = |-1| - 2 = 1 - 2 = -1
y = |x| - 2 = |0| - 2 = 0 - 2 = -2
y = |x| - 2 = |1| - 2 = 1 - 2 = -1
y = |x| - 2 = |2| - 2 = 2 - 2 = 0
y = |x| - 2 = |3| - 2 = 3 - 2 = 1
For each x-value, there is one y-value. The x-values represent the domain of the function while the y-value represents the range of the function.
x -3 -2 -1 0 1 2 3
y 1 0 -1 -2 -1 0 1
The graph can be seen in the image attached below.
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It took a motorboat 1 hour longer to travel 63 miles against the current than travel the same distance with the current. The speed of the current is 2 mph. What is the speed of the motorboat in still water?
Answer:
Step-by-step explanation:
Low density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123 mg/dL
and a standard deviation of 41 mg/dL.
If an individual's LDL is at least 1
standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 1
or more standard deviations above the mean? Use the 68–95–99.7 rule.
Give your exact answer as a whole number.
16% is the Percentage of individuals from this population who will have LDL level 1.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
Given the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor.
one standard deviation 68% of data- -95% of data- -3 -2 -1 0
So we want a percentage of individuals with LDL level 1 or more sd above the mean.
So from the above graph, we basically want to know what percentage of the scores are to the right of 1 on the x-axis because we want a percentage of individuals with LDL level 1 or more sd above the mean.
Right of 0 on the x-axis we have 50% of the data.
So by simple calculations
Percentage = 50-34=16%
therefore, the Percentage of individuals from this population who will have LDL level 1 is 16%.
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Define the term drainage density
Drainage density is a measure of the frequency and spacing of stream channels within a drainage basin, expressed as the ratio of the total length of streams within a given area to the total area of the drainage basin.
What is the function of Drainage density?Drainage density is used to quantify the efficiency of the drainage system in carrying water away from the land surface and helps in understanding the hydrological and geomorphological processes that shape the landscape.
Therefore, a measure of the frequency and spacing of stream channels within a drainage basin, expressed as the ratio of the total length of streams within a given area to the total area of the drainage basin is drainage density.
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In order for Carlton’s Car Dealership to make a
profit, it must mark up the dealer price of cars by
14%. After the increase, a new sedan at Carl’s Car
Dealership is marked to sell for $14,600. What is
the dealer price of the sedan?
The dealer price of the sedan is, $12,556
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
In order for Carlton’s Car Dealership to make a profit, it must mark up the dealer price of cars by 14%.
And, After the increase, a new sedan at Carl’s Car Dealership is marked to sell for $14,600.
Now, We get;
The dealer price of the sedan is,
⇒ $14,600 - 14% of 14,600
⇒ $14,600 - 14/100 × 14,600
⇒ $14,600 - 14 × $146
⇒ $14,600 - $2,044
⇒ $12,556
Thus, The dealer price of the sedan = $12,556
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