Sandra saves 9% of her salary for retirement this year salary was 1000 more than in her previous year and she saved $4050 what was your salary in the previous year

Answer:

\(\huge\boxed{\sf 14\ times}\)

Step-by-step explanation:

\(\displaystyle Probability = \frac{Possible \ no. \ of\ events}{Total \ number\ of \ events}\)

If we roll a die 1 time, the probability of obtaining a 3 is:

= 1 / 6

Because a die has total 6 faces, out of which 3 is only 1.

But, if we roll it 84 times, it becomes:

= \(\displaystyle \frac{1}{6} \times 84\)

= 84/6

\(\rule[225]{225}{2}\)

No, it is not possible for matrix A and B to be similar when B = A + I, where A is an nxn matrix and I is the identity matrix of the same size.

Two matrices A and B are said to be similar if there exists an invertible matrix P such that \(B = P^{(-1)}AP\). In this case, A and B have the same eigenvalues, and their corresponding eigenvectors can be related through the matrix P.

Let's consider the eigenvalues of B. Since B = A + I, the eigenvalues of B are obtained by adding 1 to each eigenvalue of A. In other words, if λ is an eigenvalue of A, then λ + 1 is an eigenvalue of B.

Now, suppose A and B are similar. This means that they have the same eigenvalues. However, the eigenvalues of B are shifted by 1 compared to the eigenvalues of A. Therefore, it is not possible for A and B to have the same eigenvalues, unless A has eigenvalues that are all equal to -1.

Since the eigenvalues of A and B are different, we can conclude that A and B cannot be similar.

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The required diameter of the moon is approximately 3458.7 km.

Diameter of the moon = (distance to the moon) x (angle subtended by diameter at observer's eyes)

In this case, the distance to the moon is given as 384300 km and the angle subtended by the diameter of the moon at the observer's eyes is 31 minutes.

However, we need to convert the angle to radians first, since the formula requires the angle to be in radians.

1 degree = 60 minutes

1 radian = 180/π degrees

Therefore, 1 minute = (1/60) degree, and

31 minutes = 31/60 degrees = 0.5167 degrees

Converting this to radians, we get:

0.5167 x π/180 = 0.009 radians (rounded to three decimal places)

Now we can plug in the values into the formula:

diameter of the moon = (384300 km) x (0.009) = 3458.7 km

Therefore, the diameter of the moon is approximately 3458.7 km.

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On number line, the point -1.8 is to the left of 0, and its opposite 1.8 is to the right of 0

What is a number line?

A number line is a straight line with evenly spaced points or marks that are used to represent numbers. It is a visual representation of the real number system, which includes all positive and negative numbers, as well as zero. On a number line, zero is usually placed in the middle, with negative numbers to the left and positive numbers to the right.

The distance between any two adjacent marks on the number line represents the same amount of distance between any two adjacent numbers in the real number system.

-1.8 and its opposite, 1.8, can be plotted on a number line as follows:

Attachment 1

Here, the point -1.8 is to the left of 0, and its opposite 1.8 is to the right of 0, equidistant from it.

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Complete answer:

Graph each integer and it's opposite on a number line​

Answer: 5 2/4

Step-by-step explanation: you do not add the bottom numbers. You add 2+3=5 and then you add 1+1 that is 5 2/4

Answer:

5 1/2

Step-by-step explanation:

You have a common denominator so just add the fractions together. Then,add you whole numbers.

The correct answer is c. Inferential Statistics.

Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.

Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.

This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.

Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.

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Answer: it would take Bobby 39 minutes

Step-by-step explanation: both brothers can mow the lawn in a total of 69 minutes. Billy can do it in 30 mins so the rest is left for his twin Bobby. 69-30 = 39

The Volume of the Pyramid=19.19in³

Surface Area of  the Pyramid=48.65in²

Volume is a unit of measurement for the area occupied in three dimensions. It is widely quantified and measured using SI-derived units, alternative imperial units, or US standard units (such as the gallon, quart, cubic inch). Volume and length (cubed) have a similar meaning.

First, volume was calculated using naturally occurring vessels with a similar shape, and then using standardized containers. Calculating the volume of numerous common three-dimensional forms is made simple by arithmetic formulas. The volumes of increasingly complicated shapes can be calculated using integral calculus.

Given that,

Height of the pyramid =4.7

Pyramid's slant height= 5.2

Base of pyramid is a square with side=3.5

Volume of the pyramid=(1/3)(3.5×3.5)×(4.7)

=19.19 in³

The surface area of a pyramid=((1/2)×(4×3.5)×5.2)+(3.5×3.5)

=18.65in²

Therefore, the volume of the pyramid=19.19 in³

And the surface area of the pyramid=18.65in²

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Answer:

Step-by-step explanation:

-4y+11=5

-4y = -6

y = 3/2

Answer:

Y=4

Step-by-step explanation:

-4y+11=-5

-4y= - 11-5

-4y= - 16

Divide by - 4

Y =4

(a) The x-component is  0 m/s.  (b) The y-component of the velocity at t = 3.12 s is approximately -17.9712 m/s. (c) The magnitude of the velocity at t = 3.12 s is approximately 17.9712 m/s. (d) The angle of the velocity relative to the positive x-axis at t = 3.12 s is in the range (-180°, -90°).

To find the x-component, y-component, magnitude, and angle of the electron's velocity at t = 3.12 seconds, we need to differentiate the position vector r with respect to time to obtain the velocity vector v.

\(r = 7.75i - 2.88t^2j + 8.71k\)

Differentiating each component of r with respect to time:

\(dr/dt = (d/dt)(7.75i) - (d/dt)(2.88t^2j) + (d/dt)(8.71k)\)

dr/dt = 0i - 5.76tj + 0k

Now we have the velocity vector v:

v = -5.76tj

(a) To find the x-component of the velocity (v_x), we can see that it is 0.

v_x = 0 m/s

(b) To find the y-component of the velocity (v_y), we substitute t = 3.12 s into the expression for v:

v_y = -5.76 * (3.12) m/s

v_y ≈ -17.9712 m/s

Therefore, the y-component of the velocity at t = 3.12 s is approximately -17.9712 m/s.

(c) To find the magnitude of the velocity (|v|), we use the equation:

|v| = \(sqrt(v_x^2 + v_y^2)\)

|v| = sqrt\((0^2 + (-17.9712)^2) m/s\)

|v| ≈ 17.9712 m/s

Therefore, the magnitude of the velocity at t = 3.12 s is approximately 17.9712 m/s.

(d) To find the angle of the velocity relative to the positive x-axis, we can use the arctan function:

angle = arctan(v_y / v_x)

Since v_x is 0, we cannot directly calculate the angle using the arctan function. However, we can infer the angle based on the sign of v_y.

In this case, since v_y is negative (-17.9712 m/s), the angle will be in the third quadrant (between -180° and -90°).

Therefore, the angle of the velocity relative to the positive x-axis at t = 3.12 s is in the range (-180°, -90°).

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Answer:

The answer is 15

Step-by-step explanation:

See, if you divide 75 by 5 you get 15.

HOPE THIS HELPED!!

The cost of the gold required for coating the driveway with a 0.500-inch thick layer of gold would be approximately 518034.49 dollars.

Since the density of gold is given in grams per cubic centimeter (g/cm³), the thickness of the layer should be converted to centimeters as well.1 inch = 2.54 cm

So, 0.500 inch = 0.500 x 2.54 cm = 1.27 cm

Therefore, the volume of gold required is:

Volume = area x thickness= 500 x 1.27= 635 cm³

Now, the mass of gold required can be calculated as:mass = density x volume= 19.3 x 635= 12260.5 g

Since 1 ounce = 28.35 g, the mass can be converted to ounces as follows:

mass in ounces = mass in grams / 28.35= 12260.5 / 28.35= 433.17 ounces

Finally, the cost of the gold can be calculated by multiplying the mass in ounces by the market value per ounce.

The market value is given as 1197 dollar/ounce. Therefore, the cost can be calculated as:

Cost = mass in ounces x market value= 433.17 x 1197= 518034.49 dollars

Therefore, the cost of the gold required for coating the driveway with a 0.500-inch thick layer of gold would be approximately 518034.49 dollars.

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The slope in the context of predicting verbal SAT scores based on math SAT scores indicates the change in the verbal score for each unit increase in the math score.

In this survey of statistics undergraduate students at Prosperity University, the slope represents the rate of change in the verbal SAT score for every one-point increase in the math SAT score. A positive slope suggests that as the math score increases, the verbal score also tends to increase. The magnitude of the slope indicates the strength of the relationship between the two variables. A larger slope indicates a stronger positive association, meaning that a one-point increase in the math score is associated with a larger increase in the verbal score. Conversely, a negative slope would imply an inverse relationship, where an increase in the math score is associated with a decrease in the verbal score.

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What is the interpretation of the slope in the context of predicting the verbal SAT score based on the math SAT score, according to the survey conducted among undergraduate students majoring in statistics at Prosperity University?

If f and f ◦g are one-to-one, then g is one-to-one.

A function f is one-to-one if it has one and only one preimage in the domain. one-to-one functions are also called injective functions.

i.e., distinct points in the domain will have distinct images.

Mathematically, if f(x) = f(y), then x = y

So here f and f o g are one-to-one.

i.e., f(x) = f(y) ⇒ x = y

and (f o g)(x) = (f o g)(y) ⇒ x = y

So consider g(x) = g(y)

⇒ f(g(x) = f(g(y))

⇒ (f o g)(x) = (f o g)(y)

⇒ x = y [Since f o g is one-to-one]

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Answer:

11.7b

Step-by-step explanation:

If you do 339.30 divided by 29 it equals 11.7 but the full equation would be c=11.7b

The proportional equation for the total cost 'c' in terms of the number of boxed lunches 'b' is:

c = (339.30 / 29) * b

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.

Let's assume that each boxed lunch costs the same amount, denoted by the variable 'x'.

We are given that the company ordered 29 boxed lunches for a total cost of $339.30. Therefore, we can write the equation:

29x = 339.30

To find the cost 'c' for any number 'b' of boxed lunches, we can set up a proportion:

29x / 29 = 339.30 / b

Simplifying this equation, we get:

x = 339.30 / 29

Now, we can substitute this value of 'x' back into the equation:

c = bx = b * (339.30 / 29)

Therefore, the proportional equation for the total cost 'c' in terms of the number of boxed lunches 'b' is:

c = (339.30 / 29) * b

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Answer:

Step-by-step explanation:

2+2+3+4+45+65+3=47538 jump in the vertex of the jump but then there's a other always 564*56*75+4=47538

The vertex form of Daredevil Danny’s practice jump is y=-32/100(x-25)2+32

But daredevil danny sucked I got a 100 here is the link to my whole worksheet (cant have a link so its tinyurl . com / Danny - Daredevil)

fyi the link is without spaces

Batelco should use the PESTLE analysis model to improve its Vision 2030 by collaborating with the government, investing in the country's economy, and making an effort to better understand customers.

The Kingdom of Bahrain has established several policies for private organizations, such as complying with the TRA and national telecommunication plans obligations, providing service coverage to 100% of the population, supporting and promoting entrepreneurship, providing incentives for promoting the economic development of the country, and providing easier access to financing and credit facilities. These policies emphasize the importance of the private sector in the growth and development of the economy, and the private sector should comply with the rules and regulations established by the government to achieve the objectives of the Vision 2030 of Bahrain. Additionally, Batelco should be aware of the political situation and focus on collaborating with the government on the advancement of the country's telecommunication network, and make an effort to better understand the customers it serves. Batelco should enhance its product offerings, improve its customer service, and engage with customers through social media and other online channels. It should also use digital marketing and big data analytics to better understand customer behavior and needs.

Additionally, it should collaborate with the government on the advancement of the country's telecommunication network, invest in the country's economy, establish agreements with other companies, and make an effort to better understand the customers it serves. The Vision 2030 of Bahrain has established several policies for private organizations, such as complying with the TRA and national telecommunication plans obligations, providing service coverage to 100% of the population, supporting and promoting entrepreneurship, providing incentives for promoting the economic development of the country, and providing easier access to financing and credit facilities. These policies emphasize the importance of the private sector in the growth and development of the economy, and the private sector should comply with the rules and regulations established by the government to achieve the objectives of the Vision 2030 of Bahrain.

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Answer: x = 11

Step-by-step explanation:

2(x+7) = 36

x + 7 = 18 <-- dividing both sides by two

x = 11

There are multiple different paths you can take in order to get this answer, all equally simple. You could open up the bracket, move to one side, and then divide, however if you were to have the answer in the most efficient and least amount of steps I would suggest doing this.

The volume of the composite solid made up of a cube with a side length of 6 meters and a hemisphere with a diameter of 6 meters can be found by adding the volume of the cube and the volume of the hemisphere, which yields 216 + 56.55approx 2762.55 cubic meters rounded to the nearest hundredth.

First, let's find the volume of the cube. The formula for the volume of a cube is V = s^3, where V is the volume and s is the side length. In this case, the side length is 6 meters. So, the volume of the cube is:

V_cube = 6^3 = 216 cubic meters

Next, we'll find the volume of the hemisphere. The formula for the volume of a sphere is V = (4/3)πr^3, where V is the volume and r is the radius. Since we're dealing with a hemisphere, we'll need to take half of the sphere's volume. The diameter of the hemisphere is 6 meters, which means the radius is 3 meters. The volume of the hemisphere is:

V_hemisphere = 0.5 * (4/3)π(3)^3 = 0.5 * (4/3)π(27) ≈ 56.55 cubic meters

Now, we'll add the volume of the cube and the volume of the hemisphere to find the total volume of the composite solid:

V_total = V_cube + V_hemisphere ≈ 216 + 56.55 ≈ 272.55 cubic meters

Rounded to the nearest hundredth, the volume of the composite solid is approximately 272.55 cubic meters.

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Answer:

In total I had to pay $ 82.42.

Step-by-step explanation:

Since I and my friends went to dinner and I decided to pay for everyone's meal, and the total bill came to $ 65.00, and I decided to give the waiter a 20% tip before tax and also had to pay 6.8% sales tax, for To determine how much did I have to pay in all, the following calculation should be performed:

65 + (65 x 0.2) + (65 x 0.068) = X

65 + 13 + 4.42 = X

78 + 4.42 = X

82.42 = X

Therefore, in total I had to pay $ 82.42.

Answer:

it's says that it is ×=1

Step-by-step explanation:

3×-5=2(x-2)

3x-5=2x-4

3x-5+5=2x-4+5

3x=2x+1

3x=2x + 1

3x-2x=2x+1-2x

Answer x=1

The profit corresponding to a production level of 8,000 units is -$12,500 (a) loss of $12,500), and the profit corresponding to a production level of 13,000 units is $12,500.

a) The cost function C(x) represents the total cost incurred by the manufacturer as a function of the number of units produced (x). It consists of the fixed cost plus the variable cost per unit. In this case, the fixed cost is $52,500, and the variable cost per unit is $8. Therefore, the cost function is:C(x) = 52,500 + 8x. (b) The revenue function R(x) represents the total revenue generated by selling x units. The revenue per unit is $13. Therefore, the revenue function is: R(x) = 13x. (c) The profit function P(x) represents the difference between the revenue and the cost. It is given by: P(x) = R(x) - C(x). Substituting the previously determined expressions for R(x) and C(x), we have:P(x) = 13x - (52,500 + 8x) = 5x - 52,500.

(d) To compute the profit (loss) corresponding to production levels of 8,000 and 13,000 units, we substitute the values of x into the profit function: P(8,000) = 5(8,000) - 52,500 = 40,000 - 52,500 = -12,500. P(13,000) = 5(13,000) - 52,500 = 65,000 - 52,500 = 12,500. Therefore, the profit corresponding to a production level of 8,000 units is -$12,500 (a loss of $12,500), and the profit corresponding to a production level of 13,000 units is $12,500.

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The sum of the areas of the shaded regions will be 14 square units as the big outside square has an area of 84, and the dots are all equally spaced, forming smaller squares.

The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.

The required area will be,

=1*1+1*9+0.75*4+0.25*4

=14 square units

Because the big outside square has an area of 84 square units and the dots are all evenly spaced, forming smaller squares, the total area of the shaded regions will be 14 square units.

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Answer:

$84.75

Step-by-step explanation:

Answer:

50p

Step-by-step explanation:

you can add them all up together. 27+3+6+14=50!

Answer:

\(z = \frac{47}{7} = 6 \frac{5}{7} \)

Step-by-step explanation:

\(7 = \frac{40}{z - 1} \\ 7(z - 1) = 40 \\ 7z - 7 = 40 \\ 7z = 40 + 7 \\ 7z = 47 \\\)

\(\boxed{\bold{Answer:{\boxed{\green{\bold{z = \frac{47}{7} = 6 \frac{5}{7}}}}}}} \)

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Answer:

z = 5

Step-by-step explanation:

7=40/z-1

- Add 1 to both sides.

8 = 40/z

- Multiply z to both sides.

8(z) = 40/z (z)

8z = 40

z = 5

Answer:

A. (8,14)

Step-by-step explanation:

When looking at the chart pairs there is no other matching option than (8,14).

You have to look in at each column to see the pairs (ex. 8,16 and 4,10).

Answer:

pi

Step-by-step explanation:

First solve the integral

\(\int\ {(1+ cos x} )\, dx\)

\(\int\ {1} \, dx +\int\ {cos x} \, dx\)

\(\int\ {1} \, dx = x\) and \(\int\ {cos x} \, dx = sin x\)

x + sin x

Now consider the limit from 0 to π

\(\lim_{0 \to \\pi } (x+sin x)\)

(π +sin π) -(0 +sin 0)

sin π = 0 and sin 0 = 0

π-0

π

Answer:

\(\displaystyle \int\limits^\pi_0 {(1+\cos x)} \, dx=\pi\)

Step-by-step explanation:

\(\displaystyle \int\limits^\pi_0 {(1+\cos x)} \, dx\\\\=x+\sin x\biggr|^{\pi}_0\\\\=[\pi+\sin\pi]-[0+\sin0]\\\\=\pi\)

Remember your antiderivatives!

Answer:

4 hour of her day

Step-by-step explanation: