What is the amount of carrying charges for a $10,000 for college if there is a 5% down payment, apr of 10%, and a 36-month repayment period?

Answer:

Vertical line of symmetry, from midpoint of top to midpoint of bottom

Horizontal line of symmetry, from midpoint on left to midpoint on right.

Rotational line of symmetry on the two diagonals.

Step-by-step explanation:

True. With similar triangles, the corresponding angles are equal. This property is one of the fundamental characteristics of similar triangles.

Similar triangles are triangles that have the same shape but possibly different sizes. They have corresponding angles that are equal, meaning that the angles in one triangle match the angles in the other triangle. This correspondence allows us to establish proportional relationships between the corresponding sides of the triangles.

The corresponding angles of similar triangles are equal because the angles are determined by the shape and orientation of the triangles, rather than their size. If two triangles have the same shape, their corresponding angles will be equal regardless of their size or position.

This property is the basis for many geometric proofs and calculations involving similar triangles. It allows us to solve problems involving proportions, ratios, and scaling.

By knowing that the corresponding angles of similar triangles are equal, we can confidently apply the principles of similarity to find missing side lengths, determine unknown angles, or establish relationships between different parts of the triangles.

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Step-by-step explanation:

Since the initial fee is fixed, we can assume it is a constant and the succeeding mile fee is the variable as it changes for every mile covered.

Let x = distance (mile)

let y = total charge (dollars)

Yellowcab company equation for cost calculation;  3.50 + 2.5x = y

laxicab company equation for cost calculation;  4.54+2.3x = z

the two companies charge the same amount when y = z

; 3.50 + 2.5x = 4.54+2.3x

x = 5.2 miles

COST CALCULATION

;3.50 + 2.5x = ?

if x = 5.2;

; 3.50 + 2.5(5.2) =$16.50

OR

; 4.54+2.3x = ?

; 4.54 + 2.3(5.2) = $16.50

Considering the technological advancement of the cell phone, customers perceive its value to be around $800. In this scenario, the economic value created is $450.

We can solve this by,

Cost: The expenses incurred by a firm while producing goods or providing services are known as cost.

Product: The item that is produced, processed, or delivered for sale is known as a product.

Value: The economic value of a product is determined by how much it is valued in the marketplace, which is a function of how much people are willing to pay for it. In the given scenario,

          Talkalot Corp. Incurs a cost of $350 to produce one unit of a cell phone. The company's management has priced the product at $600 in the market. Considering the technological advancement of the cell phone, customers perceive its value to be around $800.

       As per the scenario, the value created is:

          The value created = Perceived value - Cost Value created

                                          = $800 - $350

          The value created = $450

  Therefore, the economic value created in this scenario is $450.

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Considering the definition of probability,  the probability that the first movie selected is an comedy movie and the second movie is a action film is 30%.

Probability is the greater or lesser chance that a given event will occur.

In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.

Then, the probability of any event A is defined as the ratio between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

\(P(A)=\frac{number of favorable cases}{number of possible cases}\)

The multiplication rule or product rule allows you to find the probability that event A and event B occur at the same time.

Two events A and B are dependent if the occurrence of one affects the occurrence of the other. For dependent events, the multiplication rule states that:

P(A∩B)= P(A)× P(B|A) (where P(B|A) indicates “the probability of ‘B’ having occurred ‘A’)

In this case, you know:

The probability that the first movie selected is an comedy movie and the second movie is a action film.

Once the first movie is selected, there are no longer 6 movies available. There are only 5, because one of the options is eliminated. So the occurrence of the first event affects the second event and the events are dependent.

Then, the probabilty can be calculated A:

Probability= \(\frac{3}{6}\)× \(\frac{3}{5}\)

Probability= 0.3= 30%

Finally, the probability that the first movie selected is an comedy movie and the second movie is a action film is 30%.

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The graph that represents the geometric sequence f(x) = (1) ∙ (2)^(x-1) is graph C.

A geometric sequence is a sequence of numbers where each term is equal to the previous term multiplied by a constant value, called the common ratio. In this case, the common ratio is 2. This means that the first term of the sequence is 1, the second term is 1 * 2 = 2, the third term is 2 * 2 = 4, and so on.

The graph of a geometric sequence is a curve that gets closer and closer to the y-axis as x gets larger. This is because the terms of the sequence get smaller and smaller as x gets larger. In the case of the sequence f(x) = (1) ∙ (2)^(x-1), the terms of the sequence get smaller and smaller as x gets larger because the common ratio is 2, which is greater than 1.

Graph C is the only graph that meets all of these criteria. The curve in graph C gets closer and closer to the y-axis as x gets larger. This is because the terms of the sequence f(x) = (1) ∙ (2)^(x-1) get smaller and smaller as x gets larger. Therefore, graph C is the graph that represents the geometric sequence f(x) = (1) ∙ (2)^(x-1).

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Answer:

625

Step-by-step explanation:

5 times 5 is 25. 25 times 5 is 125. 125 times 5 is 625. Notice how I multiplied 5 repeatedly 4 times.

Answer:

625

Step-by-step explanation:

5 x 5 (=25) x 5 (=125) x 5 = 625

Hope this helps :)

Answer:

Ok what do you need help on

Step-by-step explanation:

Answer:

how do u need help? What one?

Step-by-step explanation:

Answer:

Step-by-step explanation:

The value of √-4 and not -2 because

-2 * -2 = + 4.

Also there is no real number whose square is a negative.

Hi Student!

This question can seem quite complex but it has a simple explanation.  Just imagine, what is the purpose of a square root?  It shows what can by multiplied against itself and produce the number that is in the square root.  That is why when we take the square root of 4 we get 2 and -2 because they both produce the number 4 when we square them.  Whenever we square a number, no matter if it's positive or negative, the answer will always be positive.  This is because in order to get a negative number only one can be negative to overcome the positive otherwise it's just a double negative.

Therefore, there is a solution to the question of what is the square root of -4.  What we do is practically take out the negative because the square root of -1 is equal to i.  So we take the following steps

Separate the square root

Simplify the expression

Looking at what we have done, we see that although the explanation behind it might seem complex the actual solving portion isn't too hard when explained.  Therefore, the solution to the square root of -4 would be 2i.

We need to roll a die at least 3 times and a coin should be tossed at least 2 times.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given this, Becca repeatedly tosses a fair coin until she gets a head.

The probability of getting a head P(H) is = 1/2.

The probability of getting a number 3 or higher is,

P(3) + P(4) + P(5) + P(6).

= 1/6 + 1/6 + 1/6 + 1/6.

= 4/6.

= 2/3.

So, to get a number 3 or higher we need at least 3 rolls, and to get a head we need at least 2 tosses.

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It is a no solution equation

Answer:

-1

Step-by-step explanation:

-5x – 15 > 10 + 20x

-5x -20x > 10+15

-25x > 25

x < -1

The LU factorization of matrix A is A = LU, where L = [[1, 0, 0], [-2, 1, 0], [1.5, -3, 1]] and U = [[4, -8, 10], [0, 24, -27], [0, 0, -12.5]].

Let's go step by step to find the LU factorization of matrix A.

Matrix A:

A =

[4, -8, 10]

[-8, 8, -7]

[6, -7, 3]

Step 1:

Initialize the L matrix as an identity matrix of the same size as A.

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

Step 2:

Perform Gaussian elimination to obtain U.

- Multiply the first row of A by (1/4) and replace the first row of A with the result.

A =

[1, -2, 2.5]

[-8, 8, -7]

[6, -7, 3]

- Subtract 8 times the first row of A from the second row of A and replace the second row of A with the result.

A =

[1, -2, 2.5]

[0, 24, -27]

[6, -7, 3]

- Subtract 6 times the first row of A from the third row of A and replace the third row of A with the result.

A =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

Step 3:

Update the L matrix based on the operations performed during Gaussian elimination.

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

Step 4:

The resulting matrix A is the upper triangular matrix U.

U =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

Therefore, the LU factorization of matrix A is:

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

U =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

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Answer:

1 cup of sugar per 2.5 cups of flour.

2.5 cups of flower per 1 cup of sugar.

17.5 cups of flower is used with 7 cups of sugar.

1.6 cups of sugar is used with 6 cups of flour.

Step-by-step explanation:

Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

She can select one freshman and one sophomore in 72 ways.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Phyllis who wants to select one freshman and one sophomore to attend a conference. She teaches 8 freshman and 9 sophomores

Total number of possible combinations are -

C[8,1] x C[9,1]

8!/(7! x 1!) x 9!/(8! x 1!)

8 x 9

72

Therefore, she can select one freshman and one sophomore in 72 ways.

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Answer:

Zack = x

Tony = x + 6

x + x + 6 = 42

2x + 6 = 42

2x = 36

x = 18

So,

Zack = x = 18

Tony = x + 6 = 18 + 6 = 24

Answer:

It is not a solution because 9 is not greater than 9.

Step-by-step explanation:

Answer:$58.80

Step-by-step explanation:

{[(3 x 4) + (2 x 3)/2] - (0.4 x 0.75)} x $4 = $58.80

Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171

The house advantage associated with any given bet in American Roulette is 5.263%.

In American roulette, the wheel has an additional zero, which is denoted as ‘00’.

There are 38 slots on the wheel which include numbers 00, 0, and 1 to 36.

As the payoffs for both American and European roulette are the same, the probability of winning in American roulette is less than that of European roulette.

The reason behind this is that the additional zero in American roulette increases the number of slots which reduces the chances of winning for any given bet.

The formula to calculate the house advantage is as follows:

House advantage = [ (n-k)/ n ] x 100Where n = total number of slots (38) and k = total number of slots on which the bet wins

The total number of slots on which a bet wins varies from bet to bet.

For instance, if a player places a bet on a single number in American roulette, there is only one slot on which the bet wins, i.e., the probability of winning is 1/38.

Therefore, the house advantage is:(38 - 1)/38 x 100 = 2.63%

However, if a player places a bet on red or black, there are eighteen slots on which the bet wins, i.e., the probability of winning is 18/38.

Therefore, the house advantage is:(38 - 18)/38 x 100 = 47.37/38 x 100 = 5.263%

Hence, the house advantage associated with any given bet in American Roulette is 5.263%.10. European roulette has the lowest expected reward from a player's point of view.

The expected reward of the game is directly proportional to the house advantage. The game with the lowest house advantage has the highest expected reward for the player.

As the house advantage in European roulette is lower than that in American roulette, European roulette has the lowest expected reward from a player's point of view.

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Answer:

is it about your future profession or your dream

Step-by-step explanation:

Answer:

x < 0.5

Step-by-step explanation:

2(1 - x) > 2x ( divide both sides by 2 )

1 - x > x ( add x to both sides )

1 > 2x ( divide both sides by 2 )

0.5 > x , that is

x < 0.5

The diameter of the circle will be 24.5 cm.

According to the question,

Circumference of the circle = 77 cm

2 π r = 77

π r = 77/2

r = 77/2 * 7/22

r = 7/2 * 7/2

r = 49/4

r = 12.25

The radius of the circle will be 12.25 cm

Diameter of the circle = 2r

                                      = 2 * 12.25

Diameter of the circle will be 24.5 cm.

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Answer:

False

Step-by-step explanation:

Using the rule of exponents

\(a^{m}\) × \(a^{n}\) ⇔ \(a^{(m+n)}\) , then

\(10^{3}\) × \(10^{14}\) = \(10^{(3+14)}\) = \(10^{27}\)

Answer:

32%

Step-by-step explanation:

\(\frac{1088}{3400}\)=\(\frac{x}{100}\)

(1088)(100)=(3400)(x)

108800=3400x

x=32

32%

The percent of the budget spent on housing is 31.76%.

What is percentage?

Percentage is a mathematical term which means number or ratio expressed in terms of fractions of 100. it can be calculated by dividing given value to the whole value and multiplied by 100. we represent it through ' %'.

Given that, The riddle family income is 3400 per month.

They spend 1088 per month on housing.

We know the formula for percentage which is;

Percentage = (given value/whole value)*100,

Percentage =  (1080/3400)*100

Percentage = 31.76

Hence, The percentage is 31.76%.

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Answer:

100

Step-by-step explanation:

here we are solving for x

first plug in 100 for the ys in the equation

0.10x + 0.10(100) = 0.18(x + 100)

simplify

0.10x + 10 = 0.18x + 18

get x by itself

-8 = 0.08x

-100 = x

so the reasonable answer here would be 100

hope this helps <3