how do i find the markup price and retail price

Answer:

m<ABF = 34

m<FDC = 51

m<CFD = 92

Answer:

I am not sure about this.

The symmetric point on parabola is x = -3

What is symmetric point in parabola ?

The vertical line that passes through a parabola's vertex is the axis of symmetry, making the parabola's left and right sides symmetric. This line divides the graph of a quadratic equation into two mirror representations in order to make things simpler.

The vertex form of a parabola's (or a quadratic) equations is given by the following formula:

y = a(x - h)² + k   ,   where (h, k) is the vertex and the axis of symmetry is given by the line  x = h.

Where, vertex is given (h, k) = (-3, 1)

so the axis of symmetry is,

=> x = -3

Therefore, The symmetric point on parabola is x = -3

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The problem is false

Step-by-step explanation:

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The y-intercept of the total fee paid by Tyrell on his trip to Chicago when the cab travels 0 miles, the total fee will be $10.00.

The total fee paid by Tyrell is made up of a fixed cost and a variable cost. The fixed fee is the fee that is incurred regardless of the miles travelled. The variable fee is the fee that changes with the distance travelled.

The total fee paid can be modelled as a linear function. A linear function is a single variable that is raised to the power of one.

Total fee = fixed fee + variable fee

Variable fee = (change in total fee ) / (change in total miles)

(17.50 - 13) / (5 - 2)

4.50 / 3 = 1.50

Fixed fee = $13 - (1.50 x 2)

$13 - 3 = $10

The fixed fee, $10 is equivalent to the y-intercept.

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Answer:

its a- For every additional mile the cab travels, the total fee increases by $10.00.

Step-by-step explanation:

hope this helps

Notice that the empty circle means that the point circled doesn't belong to the range of the function. Otherwise, the fulfilled circle means the point belongs to that range.

The first horizontal line represents the values of the function for x in the interval 0 < x ≤ 15 (notice the empty circle in point (0, 35) ).

Since this line is horizontal, it means that the function has the same value for all those x's:

f(x) = 35, for 0 < x ≤ 15

Now, let's look at the other horizontal line. It represents the values of the function for all x's in the interval 15 < x ≤ 40 (again, notice the empty circle in point (15, 40) ).

Again, since it's a horizontal line, the function has the same value for all those x's:

f(x) = 40, for 15 < x ≤ 40

Finally, the third line has a slope that we have to consider in order to find the form of the function for the last values of x.

We can find the slope in the following way:

1. first, we choose two points in this line whose coordinates are easy for us to identify. Let's take the points (40, 40) and (45, 50).

2. then, we calculate the difference between the y values of these two points:

y2 - y1 = 50 - 40 = 10

3. then, we calculate the difference between the x values of these two points (remember to take the second one minus the first one):

x2 - x1 = 45 - 40 = 5

4. now, we divide the y's differences by the x's differences (this will be the slope m):

m = (y2 - y1)/(x2 - x1) = 10/5 = 2

Now we know the slope m, we write the function of this line in the form:

f(x) - f(x0) = m * (x - x0)

f(x) - f(x0) = 2 * (x - x0)

Finally, to find the final form of this function, we choose any point in the line and use its x value replacing x0, and its y value replacing f(x0). Let's use the point (40, 40):

f(x) - f(x0) = 2 * (x - x0)

f(x) - 40 = 2 * (x - 40)

f(x) - 40 = 2x - 80

f(x) = 2x - 80 + 40

f(x) = 2x -40

Notice that this function for x = 40 has to assume the same value as the one we find for x = 40 using the function for the second horizontal line (f(x) = 40 ), because they both are defined for the same point:

f(x) = 2x -40

f(40) = 2*40 - 40 = 80 - 40 = 40

For this reason, as the second line already defines the function for x = 40, we can write the third part of the function only for values above x > 40.

Therefore, the function that represents the whole graph is:

f(x) = 35, for 0 < x ≤ 15

f(x) = 40, for 15 < x ≤ 40

f(x) = 2x -40, for x > 40

The percentage of the dealer markup from the original price will be; 1.24 %

Suppose the value of which a thing is expressed in percentage is "a Suppose the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part into 100 parts; then we multiply it by b so that we collect b items per 100 items(that is exactly what b percent means).

Given that the original price of a gold, watch was $500. And the dealer sells this item for $620.

Then the percentage of the dealer markup from the original price will be;

The change = amount/ original  x 100%

= 620/ 500  x 100%

= 1.24  x 100%

Therefore, The markup percentage was; 1.24 %.

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Elevator will take 0.82 minute for travel from the ground floor to the roof. (Option B is correct).

rate by an elevator ascends = 29.6 feet per second

height of the  building = 1,450 feet

Time to travel from the ground floor to the roof is calculated as :

we use rate formula.

i.e

rate = distance/ time

time = distance/rate

time = 1450/ (29.6 feet/sec )

time = 1450/29.6

       = 48.98sec

as we know

60 second = 1mint

1 second = 1/60 minutes

therefore,

 time = (48.98 / 60) minutes

time = 0.8163

time = 0.812 minutes

Elevator will take 0.82 minute for travel from the ground floor to the roof. (Option B is correct).

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a. The linear equation that models the price-sales relationship is: y = -500x + 5000

b. daily sales: $1,250.

To write the linear equation for a relationship, find the unit rate/slope (m) and the starting value/y-intercept, then substitute the values into y = mx + b.

a. Using two points from the problem, (6, 2000) and (8, 1000), find the unit rate (m):

Unit rate (m) = change in y / change in x = (2000 - 1000)/(6 - 8)

Unit rate (m) = 1000/-2

Unit rate (m) = -500

Find the y-intercept (b) by substituting m = -500 and (x, y) = (6, 2000) into y = mx + b:

2000 = -500(6) + b

2000 = -3000 + b

2000 + 3000 = -3000 + b + 3000

5000 = b

b = 5000

To write the linear equation, substitute m = -500 and b = 5000 into y = mx + b:

y = -500x + 5000

b. Substitute x = 7.5 into y = -500x + 5000:

y = -500(7.5) + 5000

y = -3750 + 5000

y = 1,250

The daily sales would be $1,250.

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For a discontinuous function ,maximun value is found by replacing every region for the values x ,y

So then for x≤2. and y≤1 and f(x,y) = x +y

theres a maximum value but no minimum ( because is minus infinite). The maximum value for this area is

x+y = 2+1= 3

Now for area y ≥-2x -3

rearrange the equation as y+2x ≥ -3

is the equation of a plane , the plane or area that goes over the straight line y= -2x-3.

So now replace y = -2x-3 in the function f(x,y) = x+y

then f(x,y)= x -2x-3 = -x-3

Now the third region is y≥ 2x -3

this is the area over a line with slope positive equal to 2

now replacing again for this area we find

f(x,y) = x+y = 2x-3 +x = 3x -3

because x≤2. So then replace x by 2 in f(x,y) to find the maximum value

f(x,y) in 2nd region is f(x,y) = -x-3= -2-3= -5

f(x,y) in 3rd region is f(x,y) = 3x -3= 3•2 -3= 3

Finally in conclusion, the máximum value is 3 , the minimum value is -5

The common ratio, r = (1/4)/(3/16)

= (1/4)(16/3)

= 4/3

OR

(1/3)/(1/4) = (1/3)(4/1)

= 4/3

The common ratio of a geometric sequence is the ratio of any two consecutive terms.

Suppose we are given a geometric sequence: a1, a2, a3, ...

The common ratio is given as:

a2/a1 = a3/a2 = ...

Answer:

D. (3, 7)

Explanation:

First, we need to draw the triangle to identify the hypotenuse, so using the points P(-2, 5), Q(5, 2), and R(8, 9), we get:

Therefore, the hypotenuse is side PR.

Then, the midpoint of a segment that goes from (x1, y1) to (x2, y2) is

So, replacing (x1, y1) = P(-2, 5) and (x2, y2) = R(8, 9), we get that the midpoint of the hypotenuse is

Therefore, the answer is D. (3, 7)

T(x) = 0.06x + 4.5

We are meant to find 'x' when T(x) = $ 11.70

Substitute for T(x) = $ 11.70 in the given function

Thus,

11.70 = 0.06x + 4.5

11.70 -4.5 = 0.06x

7.2=0.06x

Hence, the original price of the hotel room if the tax on the room was $1170 is $120

Cos 12° expressed as an integer or as a decimal

Hence the value of cos 12° as a decimal to the nearest hundredth = 0.99

The correct options for the intersecting line EF are-

For the given question;

Line EF intersects the lines AB and DC,

Where, AB = DC

Thus, from the given figure it is shown that;

Thus, the statement true about the given diagram are found.

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The graph on the right which is a graph of C is Option D. See the explanation below.

A graph is a graphic (such as a sequence of one or more points, lines, line segments, curves, or regions) that depicts the change of one variable in comparison to another.

What is the explanation for the above?

Note that the graph is calibrated at 25 per unit. Hence where x = 0, given the equation C(0) = 0.25x + 75

We have:

0.23 (0) + 75

Hence

C = 75

Tracing this back to the graph, by inference we see that the graph that depicts x as being on the x-axis with y on 75 is option D.

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Answer:

-2 < 5 - 2x < 2

-7 < - 2x < -3

7/2 > x > 3/2

3.5 > x > 1.5

1.5 < x < 3.5

First, we need to find the sample space for two dice. Since each dice has 6 faces, the sample space is

which consist in 36 elements.

Part A.

In this case, we need to find the combinations where the sum of the 2 dice is even. The combinations are:

for instance, in the upper left corner, the sum is 1+1=2, which is an even number and similarly for the other cases.

As we can note, there are 18 possible combinations. Then, the probability is

Part B.

In this case, we need to find the possible combinations where the sum of the 2 dices is greater than 7. The possible combinations are:

Since there are 15 possible combinations, the probability is given by

Part C.

This case is the intersection of the two cases from above. The possible combinations are:

Since there are 9 possible combinations, the probability is

Part D.

We need to find the possible combinations where the sum is even or the sum is greater than 7. Then, this case is the union of case A and B. Then the possible combinations are:

Since there are 18+6=24 combinations, the probability is

Formula for Profit Percentage = (Profit/C.P.) 100Where C.P. denotes the article's cost price, i.e. the price at which the article was originally purchased.

Jane bought a car for £24000

 she sold it for £26000

profit = 2000

profit percentage = 2000/26000 x100 = 7.7%

Here,

Jane bought a car for £24000

 she sold it for £26000

profit = 2000

profit percentage = 2000/26000 x100 = 7.69%

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There are a specific quantity of $5 bills, and Brad has 6 boxes. In order to ensure that no two boxes contain the same amount of money, he wants to place his bills into some or all of the boxes. The least amount of money he needs to do $30 is within each box.

How do you tell whether an equation has an unlimited number of solutions?

Both sides of an infinite solution are equal. As an illustration, 6x + 2y - 8 = 12x + 4y - 16 If you use a formula with infinite solutions to simplify the equation A set of two or more linear equations with two or more variables constitutes a system of linear equations.

If all the equations in the system are taken into account simultaneously, or if you use the approach where you obtain both sides equal, the system has an infinite solution.

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Previous concepts

We need to take in count that the intersection or the values of x that satisfy a system equations represent the solutions.

We have 3 possible cases when we have a system of equations:

1) One Solution

2) No solutions

3) Infinite solutions

Also we know that if we have one or more solutions then the system would be consistent otherwise would be inconsistent.

Solution

Let's analyze the situation with examples.

1) Case 1: One solution.

We have the following system of equations :

We can graph both equations and we can see this:

And as we can see we have an intersection point (-0.2, 1.4) with just one solution for this case.

2) Case 2: No solutions

We have the following system of equations : y  =  3x + 2, y  =  3x + 1

The value of p is 8 by the law of exponents.

What is exponents?

The base b and the exponent, or power, n, are used in the mathematical operation known as exponentiation. Its symbol is Bn, and its pronunciation is "b to the n."

An exponent is the number of times a number has been multiplied by itself. For instance, the phrase 2 to the third, which is represented as 23, means 2 to the power 3, 2 x 2 x 2 = 8, not 23, and 2 x 3 = 6, respectively.

Remember that every number multiplied by one is equal to itself. Exponents are a technique of expressing extremely large numbers in terms of powers.

The number of times a number has been multiplied by itself is the exponent, so to speak.

Given that,

9^p/9^5 = 9^3

By laws of exponents and power,

Here, p - 5 = 3

         p = 3 + 5

         p = 8

The value of p is 8 by the law of exponents.

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3) In general, a dilation is an enlargement of the sides of a shape, even if it is a 3D shape.

Furthermore, the volume of a prism is given by the formula

Then,

Therefore,

The answer to part 3) is 7290 m^3

4) Due to similar reasoning, in general, the area of a shape is given by

If we apply a dilation to that area,

Where k is the dilation factor.

Thus, in our case,

Therefore,

The answer to part 4) is 7558272 cm^3

5) From the answer to question 3)

Thus,

The answer to part 5) is 2.5

a.

The question can be answered using the permutations because the order of the flag strung on the mast determines the signal being sent.

Since there are 6 signal flags and the captain has to send a 3-signal flag. So, the number of signals that can be sent are:

Thus, the answer is 120.

b.

The question can be answered using the combination because the questions are randomly selected.

Since the total number of questions is 50 and the number of questions that have to be selected is 50.

So, the number of versions of the quiz that are possible are:

Thus, the answer is 15890700.

Answer:

Year     Jessica         Tom          Who earns more?
1              $400            $400        They earn the same amount

2             $408            $400         Jessica earns more

3             $416             $400         Jessica earns more

Step-by-step explanation:

At simple interest, the amount of interest is the same each year

First year: Since compounding takes place only at the end of the year, both of them earn the same amount of interest

Interest earned = 20,000 x 0.02 = $400

Same for both boxes for first year

Both of their deposits will increase by $400 to $20,400

For second year
Jessica's interest is calculated on 20,400 = 20,400 x 0.02 = $408
Her deposit value at the end of year 2 = 20, 400 + 408 = $20,808

Tom's interest is calculated on the original deposit since it is simple interest. So in year 2, Tom still makes $400.

In year 2 Jessica earns more interest than Tom
Jessica: $408
Tom : $400

For third year, Jessica's interest is calculated on her deposit value of 20,800 = 20,800 x 0.02 = $416

Tom's interest for 3rd year is the same as for the previous years = $400

So in third year, Jessica earns more

Option (D) "Few trees, mostly grass, rich soil, cold winters, the average rainfall and good for agriculture" perfectly describes the climate and vegetation of Savana.

Therefore, option (D) "Few trees, mostly grass, rich soil, cold winters, the average rainfall and good for agriculture" perfectly describes the climate and vegetation of Savana.

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Answer:

C

Step-by-step explanation:

Its the Little Rain

Solution

Answer:

x = 8.9

Explanation:

The sine ratio for 43 degrees gives

Now, the side opposite to the 43 degree angle is x

Answer:

38.26% prefer comedies

If 350 people are asked, 134 people will prefer comedies

Explanation:

First, we need to find the percentage of people that prefer comedy. Taking into account the table, 44 people prefer comedy from the 115 people in total.

So, the percentage of students that prefer comedy is calculated as

44/115 x 100% = 0.3826 x 100% = 38.26%

Then, if 350 are asked about their favorite movie genres, the number of people that will prefer comedies is equal to 350 people times the percentage calculated before, so

350 x 38.26% = 350 x 0.3826 = 133.9 = 134

Therefore, 134 people will prefer comedies.

We know that

• The ball is dropped from 1600 meters high.

• Each time it bounces 3/4 of its original height.

This situation creates a geometric sequence where the reason is 3/4. To find the first three terms of this sequence, we just have to multiply each term with 3/4. We know that the first term is 1600.

The second term is 1200 meters.

The third term is 900.

To find an equation, we have to use the geometric sequence formula-

Replacing the information we have the equation that represents the situation of this problem.

At last, the height after 4 bounces is

The height of the third bounce is 675 meters.

Therefore, the height of the ball after 4 bounces is 506.25 meters.

Given

-6 is less than x , 3 is greater than x

Find

Write the inequality

Explanation

-6 is less than x

this implies , -63 is greater than x

this implies , 3>x....................2

from 1 and 2 , we obtain

-6Final Answer

the inequality is - 6 < x < 3