How much more is a 6% pay increase when your current annual salary is $62,900

Answer:

10miles I think

Step-by-step explanation:

The required distance between, Nate's house and the restaurant is 7.5 miles.

From the graph,

Consider point C on the graph, which is 6  and 8 units apart from A and B respectively.

The distance between, Nate's house and the restaurant is given as,
AB = √[AC² + BC²]
AB = √[6² + 8²]
AB = 10 units

Now 1 unit = 3/4 miles
AB = 10 * 3/4
AB = 7.5 miles

Thus, the required distance between, Nate's house and the restaurant is 7.5 miles.

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Answer:

60x-97

Step-by-step explanation:

The question is not properly written. Here is the correct question.

Determine A - B, where A = 62x – 100 and B = 2x – 3.

Given

A = 62x – 100 and

B = 2x – 3.

Required

A-B

A-B = 62x-100-(2x-3)

Open the parenthesis

A-B = 62x-100-2x+3

Collect like terms

A-B = 62x-2x-100+3

A-B = (62x-2x)-(100-3)

A-B = 60x-97

Therefore the expression for A-B is 60x-97

Answer:

(0,-2) (3,-4) (6,-6)

Step-by-step explanation:

I think you start at (0,-2) then go over 3 to the right and down 2 since it's negative each time

Answer:

Step-by-step explanation:

I dont fully know if i am correct but i think its this:

p + r = 22

9p + 6r = 180

p = 22 - r

9(22 - r) + 6r = 180

198 - 9r + 6r = 180

-3r = -18

r = 6

p = 22 - 6

p = 16

\( \\ \\ \)

\( \\ \\ \)

Circumference of circle be C.

\( \\ \\ \)

\( \\ \\ \)

To find circumference of circle we have to use this formula:-

\( \\ \)

\( \bigstar \boxed{ \rm Cicumference \: of \: circle = 2\pi radius}\)

\( \\ \\ \)

Therefore:-

\( \dashrightarrow\sf C= 2\pi radius \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf C= 2 \times 3.14 \times 6\)

\( \\ \\ \)

\( \dashrightarrow\sf C= 2 \times \dfrac{314}{100} \times 6\)

\( \\ \\ \)

\( \dashrightarrow\sf C= \dfrac{314 \times 2 \times 6}{100}\)

\( \\ \\ \)

\( \dashrightarrow\sf C= \dfrac{3768}{100}\)

\( \\ \\ \)

\( \bf\dashrightarrow C=37.68 \: inches\)

\( \\ \\ \)

\( \therefore \underline{ \frak{ \red{Cicumference \: of \: circle = \blue{37.68 \: inches}}}}\)

Solution:

Given:

Formula to find circumference: 2πr

Use the formula to find the circumference.

The circumference of the circle is 37.68 in.

The correct calculation of the standard deviation of the sampling distribution of p_hat subscript s - p_hat subscript p is 0.0934.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We are given that;

Percentage of students with laptop=68%

Percentage of professors with laptop=43%

p_s = 0.68 and p_p = 0.43.

Now,

The formula for the standard deviation of the sampling distribution of the difference between two sample proportions is:

sqrt[(p_s * (1 - p_s) / n_s) + (p_p * (1 - p_p) / n_p)]

where p_s and p_p are the population proportions of students and professors who have a laptop, respectively, n_s and n_p are the sample sizes of students and professors, respectively.

We are also given that 56 students and 31 professors were selected at random and asked if they have a laptop. Therefore, n_s = 56 and n_p = 31.

Substituting these values into the formula, we get:

sqrt[(0.68 * (1 - 0.68) / 56) + (0.43 * (1 - 0.43) / 31)]

sqrt[0.00367143 + 0.00505484]

= sqrt(0.00872627)

= 0.0934 (rounded to four decimal places)

Therefore, by standard deviation the answer will be 0.0934.

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The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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Answer:

t = I/(Pr)

Step-by-step explanation:

We divide P*r on both sides to isolate t and we get t=I/(P*r)

The midpoint of a line segment is the point located halfway between two endpoints.

Therefore, if the points and have the coordinates (x1, y1) and (x2, y2), respectively, then the coordinates of the midpoint, , are defined as:

\(M = (x1 + x2)/2, (y1 + y2)/2\).

The equation of a line is y = mx + b, where m is the slope and b is the y-intercept. Since we know the coordinates of the two points, we can calculate the slope of the line using the formula:

\(m = (y2 - y1)/(x2 - x1).\)

Using the values of x1, y1, x2, and y2, we can calculate the slope of the line. We can then use the coordinates of and to calculate the y-intercept of the line, b.

Once we have determined the slope and y-intercept of the line, we can substitute these values into the equation of a line, y = mx + b, to determine the equation of the line.

The length of the line is equal to the distance between the two points and, for two points with coordinates (x1, y1) and (x2, y2), we can use the distance formula to calculate the length:

\(L = √((x2 - x1)^2 + (y2 - y1)^2)\).

Substituting the values of x1, y1, x2, and y2 into this equation will give us the length of the line, which is equal to .

Therefore, the equation of the line and the length of the line are and , respectively.

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Answer: To determine the unit price, we divide the price by the number of ounces.

For the 1.5-ounce bag:

Unit price = $0.65 / 1.5 ounces = $0.433 per ounce

For the 5.75-ounce bag:

Unit price = $1.30 / 5.75 ounces = $0.226 per ounce

For the 2-pack of 5.75-ounce bags:

Total ounces = 2 x 5.75 = 11.5 ounces

Total price = $2.45

Unit price = $2.45 / 11.5 ounces = $0.213 per ounce

Therefore, the 2-pack of 5.75-ounce bags has the lowest unit price and is the best buy based on price alone.

Step-by-step explanation:

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Answer:

x = 6

Step-by-step explanation:

Since the given triangles ΔLMN and ΔCBQ are similar,

Their corresponding sides will be proportional.

\(\frac{LM}{CB}= \frac{MN}{BQ}=\frac{NL}{QC}\)

Since, \(\frac{LM}{CB}= \frac{MN}{BQ}\)

\(\frac{(5x-6)}{6}=\frac{52}{13}\)

5x - 6 = 24

5x = 30

x = 6

Therefore, x = 6 will be the answer.

Answer:

Step-by-step explanation:

1. This paragraph describes an observational study.

It is not a controlled experiment because the guidance counselors didn't plan to separate the students into 2 groups and then observe the results. They instead checked records.

2. The students who took Latin are the treatment group.

3. The fact that students decided on their own to take Latin is a confounding factor.

4. The students who did not take Latin are the placebo or control group.

-8/27

Step-by-step explanation:

Just multiply this fraction by itself 3 times and you will get the answer then simplify.

Answer:

\(0.09y^2 - 0.81 = (0.3y+0.9)(0.3y-0.9)\)

Step-by-step explanation:

The difference of squares formula gives us

\(a^2 - b^2 = (a+b)(a-b)\)

(you can multiply this out to confirm)

\(0.09y^2 = (0.3y)^2\)

and

\(0.81 = 0.9^2\)

Thus, by the difference of squares formula

\(0.09y^2 - 0.81 = (0.3y+0.9)(0.3y-0.9)\)

Answer:

x=\(\frac{m}{8-5n}\)

Step-by-step explanation:

m=8x-5nx

m=x(8-5n)

m/(8-5n)=x

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

since she already has 18 cups flour she needs 6 cups of sugar

Answer:

The coordinates of point B are (-2, 2)

Step-by-step explanation:

We have two points: A and C.

The coordinates for A are (2, -8) and the coordinates for C are (-4, 7).

We have to find the coordinates of the point B, that satisfies the condition that the distance AB is 2 times the distance BC.

We also know that B is a point of the line AC.

We can calculate the line AC as a linear function y=mx+b.

The slope m is:

\(m=\dfrac{y_c-y_a}{x_c-x_a}=\dfrac{7-(-8)}{-4-2}=\dfrac{15}{-6}=-2.5\)

Then, the y-intercept b can be calculated using the coordinates of one of the points, in this case point A:

\(y=-2.5x+b\\\\b=y_a+2.5x_a=-8+2.5*2=-8+5=-3\)

Then, we know that B is a point of the linear function y=-2.5x-3, within the range x ∈ (-4; 2).

To have a ratio AB to BC of 2 to 1, we can divide the length of the line AC in 3 parts, and the point B will be located in the  end of the segment nearer to point C.

In the picture attached, you can see the division of the segment AC in three parts and the location of point B=(x, y).

Applying the Thales theorem, we can divide the segment in the y-axis in three and calculate y, and the same for the x-axis.

Then, the coordinate y for the point B is:

\(y=y_c-(y_c-y_a)/3\\\\y=7-[7-(-8)]/3=7-15/3=7-5=2\\\\\\x=x_c-(x_c-x_a)/3\\\\x=-4-(-4-2)/3=-4-(-6)/3=-4+2=-2\)

Then, the point B has coordinates (-2, 2).

We can verify the distances as:

\(AB=\sqrt{(2-(-2))^2+((-8)-2)^2}=\sqrt{16+100}=\sqrt{116}\\\\\\BC=\sqrt{((-2)-(-4))^2+(2-7)^2}=\sqrt{4+25}=\sqrt{29}\\\\\\\dfrac{AB}{BC}=\dfrac{\sqrt{116}}{\sqrt{29}}=\sqrt{\dfrac{116}{29}}=\sqrt{4}=2\)

Answer: (-2,2)

Step-by-step explanation:

Answer for A it’s 24

Answer:

m=3, n = 7

Step-by-step explanation:

Assuming m and n are integers, the following are the possible values of m and n

Let m = 1, then m³ = 1 and n= 189

If m = 2 we get 8n = 189 and 189/8 is not an integer so m ≠ 2

If m = 3, we get 27n = 189 and n = 189/27 = 7

Any higher integer values of m will not result in n being an integer and I am assuming m > 1 so the correct answer is m=3, n = 7

Answer:

4 photos per page

Step-by-step explanation:

a) At least 75% of the home buyers' age is between 25 years old and 69 years old.

b) At least 84% of the home buyer's age are between 19.5 years old and  74.5 years old.

When the distribution is not normal, Chebyshev's Theorem is used. It states that:

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Answer:

here is a link

Bhagya – Page 36 - Samacheer Kalvihttps://samacheerkalvi.guru › author › bhagya › page

Step-by-step explanation:

The corresponding height of similar rectangular prism m is 9 centimeter.

Given that, the volume of rectangular prism m is 17 cm³ and the volume of rectangular prism n is 136 cm³.

If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.

The height of n is 18 cm.

Here, m³/n³ = 17/136

m³/18³ = 17/136

m³/18³ = 17/136

(m/18)³ = 1/8

(m/18)³ = (1/2)³

m/18 = 1/2

m=9 cm

Therefore, the corresponding height of similar rectangular prism m is 9 centimeter.

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Answer:

(b*c+c-1+b)*(-c+b*c-b-1)

or

(b*c + c - 1 + b)*(-c + b*c - b -1)

put both in the same order:

(bc + b + c - 1)( bc - b - c - 1)

Turn the crank:

(bc)2 + b2c + bc2 - bc      -b2c -b2 - bc + b     -bc2 - bc - c2 + c    -bc - b - c + 1

Cancel things....

(bc)2   - bc  -b2 - bc   - bc - c2  -bc   + 1

(bc)2 - 4bc - b2 - c2  + 1

Answer:

30 members will play wind instruments

Answer:

30 would be the answer to the ?