What is the horizontal asymptote of the function f(x)=2x−5?
Enter your answer as a number, like this: 42

To calculate the present value of a zero-coupon bond, we can use the formula: Present Value = Future Value / (1 + Interest Rate)^n

where Future Value is the par value of the bond, Interest Rate is the annual market interest rate, and n is the number of years. In this case, the Future Value is $2,000, the Interest Rate is 10% (or 0.10), and the number of years is 5. Using Excel, we can calculate the present value as follows:
1. In cell A1, enter the Future Value: 2000
2. In cell A2, enter the Interest Rate: 0.10
3. In cell A3, enter the number of years: 5
4. In cell A4, enter the formula for calculating the present value: =A1 / (1 + A2)^A3
5. Press Enter to get the result.

The present value of the 5-year zero-coupon bond with a $2,000 par value and an annual market interest rate of 10% is $1,620.97.

The formula for present value calculates the current worth of a future amount by discounting it back to the present using the interest rate. In this case, the future value is $2,000, and we divide it by (1 + 0.10)^5 to account for the effect of compounding over 5 years. The result is the present value of $1,620.97, which represents the amount that is considered equivalent to receiving $2,000 in 5 years at a 10% interest rate.

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Thus, the area of the parallelogram is given by:Area of the parallelogram = |u x v| = |ac| = ac.

1. The determinant of the matrix A is -1. To compute the determinant of matrix B, let det(B) = D.

We have:|B| = |3pq + ax - 2py|   |3pq + ax - 2py|   |3pq + ax - 2py||3qr + by - 2pz| + |-3pr - cy + 2qx| + |-2px + 3ry + cz||3qr + by - 2pz|   |3qr + by - 2pz|   |3qr + by - 2pz||-2px + 3ry + cz|D

= (3pq + ax - 2py)(3qr + by - 2pz)(-2px + 3ry + cz) - (3pq + ax - 2py)(-3pr - cy + 2qx)(-2px + 3ry + cz)|B|

 D = (3pq + ax - 2py)[(3r + b)y - 2pz] - (3pq + ax - 2py)[-3pc + 2qx + (2p - a)z]

= (3pq + ax - 2py)[3ry - 2pz + 3pc - 2qx - 2pz + 2az]

= (3pq + ax - 2py)[3r(y - p) - 2q(z - p) + 2a(z - p)] = (3pq + ax - 2py)[3r(y - p) - 2q(z - p) + 2a(z - p)]

= (3pq + ax - 2py)[3r(y - p) - 2q(z - p) + 2a(z - p)]

= (3pq + ax - 2py)[3r(y - p) - 2q(z - p) + 2a(z - p)]

= (3pq + ax - 2py)[3r(y - p) - 2q(z - p) + 2a(z - p)]

= (3pq + ax - 2py)[3r(y - p) - 2q(z - p) + 2a(z - p)]  D

= (3pq + ax - 2py)[3r(y - p) - 2q(z - p) + 2a(z - p)]

Thus, det(B) = D

= (3pq + ax - 2py)[3r(y - p) - 2q(z - p) + 2a(z - p)]2.

To compute the determinant of the matrix A, use the following formula:|A| = -5[(0)(-8) - (2)(-3)] - 1[(2)(2) - (0)(-3)] + (-3)[(2)(0) - (5)(-3)]

= -8 - (-6) - 45

= -47 Thus, the determinant of the matrix A is -47.3.

The area of a parallelogram is given by the cross product of the two vectors that form the parallelogram.

Here, the two vectors are u and v.

Thus, the area of the parallelogram is given by:Area of the parallelogram = |u x v| = |ac| = ac.

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The area of the parallelogram determined by `0`, `u`, `v`, and `u + v` is `ac`.

1. To compute `det [-x 3p+a 2p; -y 3q+b 2q; -z 3r+c 2r]`,

we should use the formula of the determinant of a matrix that has the form of `[a b c; d e f; g h i]`.

The formula is `a(ei − fh) − b(di − fg) + c(dh − eg)`.Let `M = [-x 3p+a 2p; -y 3q+b 2q; -z 3r+c 2r]`.

Applying the formula, we obtain:

det(M) = `-x(2q)(3r + c) - (3q + b)(2r)(-x) + (-y)(2p)(3r + c) + (3p + a)(2r)(-y) - (-z)(2p)(3q + b) - (3p + a)(2q)(-z)

= -2(3r + c)(px - qy) - 2(3q + b)(-px + rz) - 2(3p + a)(qz - ry)

= -2(3r + c)(px - qy + rz - qz) - 2(3q + b)(-px + rz + qz - py) - 2(3p + a)(qz - ry - py + qx)

= -2(3r + c)(p(x + z - q) - q(y + z - r)) - 2(3q + b)(-p(x - y + r - z) + q(z - y + p)) - 2(3p + a)(q(z - r + y - p) - r(x + y - q + p))

= -2[3r + c + 2(3q + b) + 3p + a](p(x + z - q) - q(y + z - r)) - 2[3q + b + 2(3p + a) + 3r + c](-p(x - y + r - z) + q(z - y + p))`.

But `det(A) = -1`,

so we have:`

-1 = det(A) = det(M) = -2[3r + c + 2(3q + b) + 3p + a](p(x + z - q) - q(y + z - r)) - 2[3q + b + 2(3p + a) + 3r + c](-p(x - y + r - z) + q(z - y + p))`.

Therefore:

`1 = 2[3r + c + 2(3q + b) + 3p + a](p(x + z - q) - q(y + z - r)) + 2[3q + b + 2(3p + a) + 3r + c](-p(x - y + r - z) + q(z - y + p))`.

2. Using the cofactor expansion down the second column,

we obtain:`det(A) = -2⋅(1)⋅(2)⋅(-3) + (−2)⋅(−3)⋅(2) + (5)⋅(2)⋅(2) = 12`.

Therefore, `det(A) = 12`.3.

We need to use the formula for the area of a parallelogram that is determined by two vectors.

The formula is: `area = |u x v|`, where `u x v` is the cross product of vectors `u` and `v`.

In our case, `u = [a; b]` and `v = [0; c]`. We have: `u x v = [0; 0; ac]`.

Therefore, `area = |u x v| = ac`.

Thus, the area of the parallelogram determined by `0`, `u`, `v`, and `u + v` is `ac`.

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Thus, there are approximately 408 students who are taking an online course and prefer basketball to football.

To solve this problem, we need to use the formula for the intersection of two independent events:

P(A and B) = P(A) * P(B)

where P(A) is the probability of event A occurring, P(B) is the probability of event B occurring, and P(A and B) is the probability of both events A and B occurring simultaneously.

In this case, let A be the event of taking an online class, and let B be the event of preferring basketball to football. We are asked to find the number of students who are in the intersection of these two events, or P(A and B).

We are given that there are 1200 students taking an online class, out of a total of 5000 students. Therefore, the probability of taking an online class is:

P(A) = 1200/5000 = 0.24

We are also given that 1700 students prefer basketball to football. Since this event is independent of taking an online class, the probability of preferring basketball to football is simply:

P(B) = 1700/5000 = 0.34

Now we can use the formula to find the probability of both events occurring simultaneously:

P(A and B) = P(A) * P(B) = 0.24 * 0.34 = 0.0816

Finally, we can convert this probability to a number of students by multiplying by the total number of students:

0.0816 * 5000 = 408

Therefore, there are approximately 408 students who are taking an online course and prefer basketball to football.

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The limit does not exist.

In order for such a limit to occur, the fraction \(\frac{x^{2} }{x^{2} +y^{2} }\) must be comparable to the same value \(L\), regardless of the way we take to get there \((0,0)\).

Try approaching \((0,0)\) along the x-axis.

This means setting \(y=0\) and finding the limit \(lim_{x-0} \frac{x^{2} }{x^{2} +y^{2} }\).

We obtain:

\(lim_{x-0,y=0}\frac{x^{2} }{x^{2} +y^{2} } =lim_{y=0}}\frac{x^{2} }{x^{2} +0 }\\=lim_{x-0}} \frac{x^{2} }{x^{2} } \\\\=lim_{x-0}}1\\=1\)

Now evaluate approaching \((0,0)\) along the y-axis.

This means setting \(x=0\) and finding the limit \(lim_{y-0} \frac{x^{2} }{x^{2} +y^{2} }\).

\(lim_{y-0,x-0} \frac{x^{2} }{x^{2} +y^{2} } =lim_{y-0} \frac{0}{0+y^{2} } \\=lim_{y-0} \frac{0}{y^{2} } \\=lim_{y-0} 0\\=0\)

Approaching the origin via these two methods results in distinct limits.

\(lim_{x-0,y-0} \frac{x^{2} }{x^{2} +y^{2} }\) ≠ \(lim_{y-0,x-0}\frac{x^{2} }{x^{2} +y^{2} }\)

Therefore the limit does not exist.

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The correct question is given below:

Find the limit, if it exists, or show that the limit does not exist.

\(lim_{(x,y) -(0,0)} \frac{x^{2} }{x^{2} +y^{2} }\)

Answer:

n o

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

A whole number is a number greater than or equal to zero that does not have any fractions and/or cannot be written with a fractional component. It can also be defined as an integer, though it should be noted that integers include negative numbers. 3, 5, 14, 2, and 0 are all whole numbers and are also all integers. 1.5, 16.32, and -4.598 are not whole numbers and are thus not integers.

1) Since in this pie chart, we have a budget. Let's locate the sectors for Housing, Insurance, and utilities

2) Enlisting them:

Housing: 24.8%

Insurance: 26.7%

Utilities: 12.9%

\%

So we can add them up:

Using the inclusion-exclusion principle the number of arrangements can be 1080069120.

I denote the complement of a set X by X' its cardinality by ∣X∣ and the universal set by S

The number of unrestricted arrangements of these 11 people.

Americans can seat in:

A  = 9! * 4!

Russians can seat in:

And Chinese can seat is:

Now, we calculate ∣A∩R∣. In this case,

By the principle of inclusion and exclusion, we have:

Therefore, using the inclusion-exclusion principle the number of arrangements can be 1080069120.

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Answer:

\(7\sqrt{2}\) to the nearest tenth would be, 9.9

Step-by-step explanation:

Use distance formula:

(-3-4)^2 + (8-1)^2 all under square root.

49 + 49

\(\sqrt{98\\\)

Which simplifies to 7\(\sqrt{2\\}\)

Hope this helps,

Feel free to mark this brainliest! :)

the answer is 5.099 rounded too 5.1

Answer:

thgghngztlslxy it probably 450

Answer:

Step-by-step explanation:

Using the properties of a kite:

Measure of 1, 2, 3 and 4:- each of these = 90 degrees.

Measure of:

5 = 53 degrees.

6 = 27 degrees.

7 = 90 - 27 = 63 degrees.

8 = 90 - 53 = 37 degrees.

9 = m < 7 = 63 degrees.

10 = 90 - 53 = 37 degrees.

After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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CB = 22cm Angle B is 30° (round to the nearest degree) and Angle C is 60° (round to the nearest degree), all measurements to the nearest tenth.

According to the Pythagoras theorem, the square of the hypotenuse of a right-angled triangle equals the sum of the squares of the other two sides. The formula for this theorem is c2 = a2 + b2, where c is the hypotenuse and a and b are the triangle's two legs.

We can use the trigonometric inverse of the ratio of the triangle's provided sides to determine the angles of a right-angled triangle. θ = sin-1x.

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Under some circumstances, notably when the sample size is high enough and the population from which the samples are drawn has a normal distribution, the distribution of sample means will be roughly normal. The Central Limit Theorem refers to this.

Regardless of the population distribution's form and provided that the population has a finite standard deviation, the Central Limit Theorem states that as sample size grows, the distribution of sample means tends to resemble a normal distribution.

Additionally, even if the population distribution is not perfectly normal, if the sample size is high enough (often thought to be 30 or more), the combined effects of the Centrbal Limit Theorem and the Law cause the sample means to generally follow a normal distribution.

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Answer:

500 ➗ 11 × 7

500 ➗ 11=45.454545454545(45.5)

45.5×6=273

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

Just locate according to the attachment

Total area:-

Answer:

i'm pretty sure the correct answer is the first choice, taking medicine for a headache.

Step-by-step explanation:

hope it helps :)

Answer:

16 + 9 = 25

Step-by-step explanation:

For each term in the sequence, we can see that the second number being added increases by 2 each time (3, 5, 7)

And that the first number of each term increases by the value of the second term

(1 increases by 3; 4 increases by 5)

we can follow out these two observations to find T4

the first term (9) will increase by the value of the second term (7)

{the sum of the previous term is the first number}

so the first number of T4 will be 16.

Because we left off on +7, we are now on +9

so, T4 is

16 + 9 {and then do the math accordingly}

16 + 9 = 25

So, T4 is

16 + 9 = 25

hope this helps!! have a lovely day!! :)

Answer:

The First choice

Step-by-step explanation:

Answer:

153

Step-by-step explanation:

Angle AFE is 63 and Angle DFE is a 90 degree angle add them both up and you get 153

Answer:algebra

Step-by-step explanation:

Answer: do 4x-18 which equals-72. So I believe your answer is -72. But I had help so don’t give me all th credit. Hope I helped!

Division Properties of Exponents When two powers have the same base, you can divide them and keep the base the same. You subtract the exponents.

That is, $$a^m ÷ a^n = a^{m-n}.$$ It's important that the bases have to be the same to use the division property.

The reason is simple, when you are dividing by a number, you are subtracting exponents with the same base. When the bases are not the same, you cannot subtract exponents because the bases are different and each exponent has a different weight in the final answer. The rules for dividing and multiplying powers with like bases are similar. This is because the rules of exponent are derived from the basic property of multiplication and division. In multiplication, we add the exponents and in division, we subtract the exponents.14. 24y³

The expression 24y³ is already in simplest form because no further simplification is possible.15. (3x)²The expression (3x)² simplifies to 9x² because

$$ (3x)² =

(3x)(3x)

= 9x² $$16. x³y⁰

The expression x³y⁰ simplifies to x³ because $$ y⁰ = 1.

$$ Hence, x³y⁰ = x³17. y

The expression y is already in simplest form because no further simplification is possible.18. 6x10^7 ÷ 3 x 10^5When dividing the two numbers, divide the first number by the second number and subtract the exponents of 10.6 ÷ 3 = 2and10^7 ÷ 10^5 = 10^(7-5) = 10^2

Therefore, the answer is 2 x 10^2 = 20019. 2.4 x 10³ ÷ 8.2 x 10²When dividing the two numbers, divide the first number by the second number and subtract the exponents of 10.2.4 ÷ 8.2 = 0.2939and10^3 ÷ 10^2 = 10^(3-2) = 10Therefore, the answer is 0.2939 x 10 = 2.939 x 10^020. Error AnalysisThe student missed simplifying the power of 21 in the numerator and the power of 2 in the denominator.$$[(6÷3)4 21³ (2²)³ ] ÷ 2² = [(2)4 21³ (8)] ÷ 4$$= 21³ (16) = 2352981The correct simplification is 21³ x 16 = 7056721. The area of a rectangle is 20x⁶y⁴.

The area of the rectangle is the product of its length and width. That is,$$ lw = 20x⁶y⁴$$We are given the length of the rectangle to be x²y³. Therefore,$$ x²y³w = 20x⁶y⁴$$Dividing by $x²y³$ on both sides, we get$$ w = \frac{20x⁶y⁴}{x²y³} = 20x⁴y$$

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the square root of the number equal or greater than 25 are 626 and 700.

What is inequality?

Mathematical expressions with inequalities on both sides are known as inequalities. In an inequality, we compare two values as opposed to equations. In between, the equal sign is changed to a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Olivia is chosen for the 12U softball team. What age is Olivia? Because it doesn't mention "equals," you are unaware of Olivia's age. But since you already know Olivia's age to be below or equal to 12, you can write it as Olivia's Age 12. This scenario relates to disparities in the real world.

The average slope over the longer intervals will be the average of the slopes in the (same length) intervals that make up the longer interval.

The given expression √x ≥ 25

So the square root of the number equal or greater than 25 are 626 and 700.

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Answer:

Step-by-step explanation:

do I

Answer: true

Step-by-step explanation:

Answer: True

Step-by-step explanation: Has to be true if a b and c are all numbers

Answer:

I think hamburgers=12

Step-by-step explanation:

Answer:

x=80 degrees

Step-by-step explanation:

all 3 angles of a triangles equals 180

We add the 2 angles 70+30=100

Now we subtract from 180

180-100=80

x=80 degrees

Hopes this helps please mark brainliest

Here  is a scatter plot that compares hits to at bats for players on a baseball team, as the number of bats increase, the number of hits increases.

A scatter plot is also known as a scatter chart, scattergram, or XY graph. The scatter diagram plots numerical data pairings, one variable on each axis, to demonstrate their connection. Today everyone is wondering when to utilise a scatter plot.

Scatter plots are used in the following scenarios.

When we have numerical data that is paired

When there are several dependent variable values for a single independent variable value

In some instances, such as finding probable root causes of issues, evaluating if two items that appear to be connected both arise with the same precise reason, and so on.

The points will fall along a line or curve if the variables are correlated. The closer the points are to the line, the better the connection. One of the seven key quality tools is this cause examination tool.

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The minimum yield value of the key material should be determined based on the yield stress of the shaft, which is 36 kg/m², the dimensions of the key, and the safety factor of 2.

To ensure that the key smoothly transmits the torque of the shaft, it is essential to choose a key material with a minimum yield value that can withstand the applied forces without exceeding the yield stress of the shaft.

The dimensions of the key given are 20x20x120 mm. To calculate the torque transmitted by the key, we need to consider the dimensions and the applied forces. However, the specific values for the applied forces are not provided in the question.

The safety factor of 2 indicates that the material should have a yield strength at least twice the expected yield stress on the key. This ensures a sufficient margin of safety to account for potential variations in the applied forces and other factors.

To determine the minimum yield value of the key material, we would need additional information such as the expected torque or the applied forces. With that information, we could calculate the maximum stress on the key and compare it to the yield stress of the shaft, considering the safety factor.

Please note that without the specific values for the applied forces or torque, we cannot provide a precise answer regarding the minimum yield value of the key material.

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