You had $2500 in your bank account and withdrew $500. a. What percent of the amount in your bank account was withdrawn? (In other words, $500 is what percent of $2500?) _______% of the balance was withdrawn

Answer:

I believe it's 3 but I haven't taken a math class in a hot min

The projection of the point (4,4) onto the line passing through (3,1) is the point on the line that is closest to (4,4). To find this projection, we need to first find the direction vector of the line, which is (3-1, 1-0) = (2,1).

Next, we need to find the vector from the point (3,1) to the point (4,4), which is (4-3, 4-1) = (1,3).

Then, we can use the formula for projecting a vector onto another vector:

proj_v u = ((u · v) / (v · v)) v

where u is the vector we want to project, v is the vector we want to project onto, and · denotes the dot product.

Applying this formula, we get:

proj_v u = ((1,3) · (2,1)) / ((2,1) · (2,1)) (2,1)

= (5/5) (2,1)

= (2,1)

So the projection of (4,4) onto the line passing through (3,1) is the point (3,1) + (2,1) = (5,2).

To find the projection of vector (4, 4) onto vector (3, 1), you can follow these steps:

Step 1: Calculate the dot product of the two vectors.
Dot product = (4 * 3) + (4 * 1) = 12 + 4 = 16

Step 2: Calculate the magnitude squared of the vector you are projecting onto (3, 1).
Magnitude squared = (3 * 3) + (1 * 1) = 9 + 1 = 10

Step 3: Divide the dot product by the magnitude squared.
Scalar = 16 / 10 = 1.6

Step 4: Multiply the scalar by the vector you are projecting onto (3, 1) to find the projection.
Projection = 1.6 * (3, 1) = (4.8, 1.6)

So, the projection of (4, 4) onto (3, 1) is (4.8, 1.6).

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Answer:

Left box:  1/2n

Right box = 2n - 22

Step-by-step explanation:

Since we want one-half the number and n represents the unknown number, we have 1/2n on the left-hand side of the equation.

Thus, you want to put 1/2n in box on the left.

Twice the number and 22 less than this is given by:  y: 2n - 22 less than this means we subtract.  Thus, we have 2n - 22 as the numerator on the right hand side of the equation.

Thus, you want to put 2n - 22 in the box on the right.

Answer:

Step-by-step explanation:

You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.

The relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...

  x + y + z = 21000 . . . . . . total borrowed

  0.10x +0.12y +0.14z = 2580 . . . . . . total interest

  x + y = 2z . . . . . . . . . . . relationship between amounts

Writing the last equation as ...

  x -2y +z = 0

we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...

__

Additional comment

Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...

These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)

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Answer:

3x-15

Step-by-step explanation:

(x-5)(8-5)

(x-5)(3)

re-order

(x-5)×3

3(x-5)

Distribute

3(x-5)

3x-15

Answer:

the answer is c

toatally unrealated:

if you find yourself stumbbled like this again in multiple chice questions, there is a 60% chance the answer is c

Answer:

12x=9x^(2)+4 has a real solution the rest don't.

Step-by-step explanation:

Answer: bro did you copy and paste jeez

Step-by-step explanation: $2.330

Answer: type II error

Step-by-step explanation: bcs

25 if im not wrong......

The value of x in the sequence is 12035.

To find the value of x in the given sequence, we can look for a pattern that relates the numbers to each other.

If we take the first number (5) and multiply it by 2, we get 10. If we then add 20 to that, we get 30. Similarly, if we take 30 and multiply it by 4, we get 120. If we then add 120 to 40, we get 160. Continuing this pattern, we can see that:

5 x 2 = 10

10 + 20 = 30

30 x 4 = 120

120 + 40 = 160

160 x 6 = 960

960 + 255 = 1215

1215 x 8 = 9720

9720 + 2315 = 12035

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Answer:

$4.7

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

have a great day and hope helpful pls mark as brainliest

Answer:

Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x ." This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

Step-by-step explanation:

The expression 2^7 times 19 can be simplified by first evaluating the exponential term, 2^7, which is equal to 128. Therefore:2^7 times 19 = 128 * 19We can then evaluate the product of 128 and 19 using multiplication. When we do that, we get:2^7 times 19 = 2432Therefore, the choice that is equivalent to the expression 2^7 times 19 is 2432

Answer:

9

Step-by-step explanation:

20 / 5 = 4  36 / 4 = 9

Yes, i agree with hector. The polygon in above figure is irregular due to unequal side lengths and Hector also states that it is not regular or irregular.

A polygon is a 2-D geometric figure that has a finite number of sides. The sides are equal in length. It is a closed shape formed by end to end joining of straight line segments. For examples of regular polygons are square, rhombus, equilateral triangle, etc.

An irregular polygon, also called a non-regular polygon. It is a shape that does not have all sides of equal length and all angles of equal. For examples scalene triangle, rectangle, kite etc. are examplses of irregular polygon.

Now, we have a polygon present in above figure. As we see that this figure has 8 sides and length of one side is equal to its opposite side, but all sides are not equal length. So, it is an irregular polygon. Hector also states that above figure is irregular polygon. Hence, i agree with hector.

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Complete question:

Hector states that the figure to the above is a polygon is not regular. Do you agree with hector. Explan

Answer:

20ft

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

\(3^{3}\) is basically just multiplying the number 3, three times. So 3x3x3. 3x3 is 9, and when you multiply 3 more, it is 27.

Answer:

Step-by-step explanation: 3, because when 3 is cubed you get 27.

The highest score for the given distribution is 25.

This is because the distribution is divided into ranges, with the first range being 20-25, the second range being 15-19, the third range being 10-14, and the fourth range being 5-9.

The highest score in each range is the number on the right side of the dash.

Therefore, the highest score in the first range is 25, the highest score in the second range is 19, the highest score in the third range is 14, and the highest score in the fourth range is 9.

Since 25 is the highest score among all of the ranges, it is the highest score for the entire distribution.

The correct answer is c) 25.

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Answer:

64

125

125

angular

27

45

Step-by-step explanation:

Lord have mercy on me

That statement is true. When two integers are multiplied together, the result is always an integer. This property is a fundamental characteristic of integers.

Integers are whole numbers that can be positive, negative, or zero. When you multiply any two integers, the result will always be another integer.

For example:

- Multiplying two positive integers: 3 * 4 = 12

- Multiplying a positive and a negative integer: (-5) * 6 = -30

- Multiplying two negative integers: (-2) * (-8) = 16

- Multiplying an integer by zero: 9 * 0 = 0

In each case, the product of the integers is still an integer. This property holds true regardless of the specific values of the integers being multiplied.

It is important to note that this property does not apply to all real numbers. When multiplying real numbers, the result may not always be an integer. However, when specifically dealing with integers, their multiplication will always yield an integer result.

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An integer multiplied by an integer is an integer. True or False?

The system of equation that has one solution is: (d) –2x+ 7y = –5  and 2x +7y = –9

This is a group of equations which may have none, one or more solutions.

From the list of given options, the system of equations that has one solution is:

–2x+ 7y = –5  and 2x +7y = –9

This is so because, the solution is (-1,-1)

However, the other systems have infinite many solutions

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Answer:

D. -2x + 7y = -5 and 2x + 7y = -9

Step-by-step explanation:

Edge 2023

The consumption bundle that will not be the consumer's choice, given the assumptions of choosing the optimal bundle, is option B) 30 snacks and 12 meals. To determine the optimal consumption bundle, we need to consider the consumer's budget constraint and maximize their utility.

Given that the price of snacks is $4 and the price of meals is $10, and the consumer has $240 remaining on their meal card, we can calculate the maximum number of snacks and meals that can be purchased within the budget constraint.

For option A) 5 snacks and 20 meals, the total cost would be $4 × 5 + $10 × 20 = $200. Since the consumer has $240 remaining, this bundle is feasible.

For option B) 30 snacks and 12 meals, the total cost would be $4 × 30 + $10 × 12 = $240. This bundle is on budget constraint, but it may not be the optimal choice since the consumer could potentially consume more meals for the same cost.

For option C) 20 snacks and 16 meals, the total cost would be $4 × 20 + $10 × 16 = $240. This bundle is also on budget constraint.

Since options A, C, and D are all feasible within the budget constraint, the only bundle that will not be the consumer's choice is option B) 30 snacks and 12 meals. The consumer could achieve a higher level of utility by reallocating some snacks to meals while staying within the budget constraint. Therefore, the correct answer is option B.

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The general solution form for the recurrence tn = 120,-2 - 166n-3 + 2.

Given a recurrence relation tn = 120,-2 - 166n-3 + 2 we have to derive the general solution form for the recurrence sequence.

We have the recurrence relation tn = 120,-2 - 166n-3 + 2

We need to find the solution for the recurrence relation.

Associated Homogeneous Equation: First, we need to find the associated homogeneous equation.

                                     tn = -166n-3 …..(i)

The characteristic equation is given by the following:tn = arn. Where ‘a’ is a constant.

We have tn = -166n-3..... (from equation i)ar^n = -166n-3

                                Let's assume r³ = t.

Then equation i becomes ar^3 = -166(r³) - 3ar^3 + 166 = 0ar³ = 166

Hence r = ±31.10.3587Complex roots: α + iβ, α - iβ

Characteristics Polynomial:

                   So, the characteristic polynomial becomes(r - 31)(r + 31)(r - 10.3587 - 1.7503i)(r - 10.3587 + 1.7503i) = 0

The general solution of the Homogeneous equation:

Now we have to find the general solution of the homogeneous equation.

                  tn = C1(-31)n + C2(31)n + C3 (10.3587 + 1.7503i)n + C4(10.3587 - 1.7503i)

                        nWhere C1, C2, C3, C4 are constants.

Computing a Particular Solution:

                Now we have to compute the particular solution.

                                  tn = 120-2 - 166n-3 + 2

Here the constant term is (120-2) + 2 = 122.

The solution of the recurrence relation is:tn = A122Where A is the constant.

The General Solution of Non-Homogeneous Equation:

        The general solution of the non-homogeneous equation is given bytn = C1(-31)n + C2(31)n + C3 (10.3587 + 1.7503i)n + C4(10.3587 - 1.7503i)n + A122

Hence, we have derived the general solution form for the recurrence tn = 120,-2 - 166n-3 + 2.

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Answer:

12.5

Step-by-step explanation:

Answer:

cylinder

Step-by-step explanation:

Answer:

cylinder

Step-by-step explanation: