The monthly income of a man is Rs 53000. He deposits 20% of his yearly income in civil investment fund and 10% in charity. If 1 % social security tax should be paid on First Rs 300000and 15% tax is imposed yearly ,how much tax should he pay?

The Volume of the propane gas tank is approximately 1130.4 cubic feet.

The volume of the propane gas tank,the volume of the cylindrical section and the volume of the two hemispheres at each end separately, and then sum them together.

Overall length = 15 feet

Diameter of the cylinder = 6 feet

1. Volume of the cylinder:

The cylinder's volume can be calculated using the formula V_cylinder = π * r^2 * h, where r is the radius and h is the height.

Given the diameter is 6 feet, the radius (r) is half the diameter, which is 6 / 2 = 3 feet. The height (h) is the overall length minus the sum of the hemispheres' heights, which is 15 - (radius of the hemisphere * 2).

The volume of the cylinder is then V_cylinder = π * 3^2 * (15 - 3) = 324π cubic feet.

2. Volume of the hemispheres:

The volume of a hemisphere can be calculated using the formula V_hemisphere = (2/3) * π * r^3, where r is the radius.

Given the radius is 3 feet, the volume of each hemisphere is V_hemisphere = (2/3) * π * 3^3 = 54π/3 = 18π cubic feet.

Since there are two hemispheres, the total volume of the hemispheres is 2 * 18π = 36π cubic feet.

3. Total volume of the tank:

The total volume of the tank is the sum of the volume of the cylinder and the volume of the hemispheres:

V_total = V_cylinder + V_hemispheres = 324π + 36π = 360π cubic feet.

To round the answer to two decimal places, we can use the approximate value of π as 3.14:

V_total ≈ 360 * 3.14 = 1130.4 cubic feet.

Therefore, the volume of the propane gas tank is approximately 1130.4 cubic feet.

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The statement is true. If dxdy = 1 and dydx = 0, then the tangent line to the curve y = f(x) is horizontal.

The derivatives dy/dx and dx/dy provide information about the slope of a curve at a given point. If dy/dx = 0, it indicates that the curve has a horizontal tangent at that point. Similarly, if dx/dy = 1, it means that the curve has a slope of 1 with respect to y.

Given the condition dxdy = 1 and dydx = 0, we can conclude that the curve has a horizontal tangent line. This is because dy/dx = 0 implies that the slope with respect to x is zero, and dx/dy = 1 implies that the slope with respect to y is 1.

In other words, at any point on the curve y = f(x), the tangent line will be horizontal since the slope is zero with respect to x and the slope with respect to y is 1. A horizontal tangent line indicates that the curve is neither increasing nor decreasing in the x-direction, and the rate of change is solely in the y-direction.

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i. The wage would increase by 0.12 units.

ii. The wage would increase by 0.6 units.

iii. The relationship between wage and age is not linear but instead has a quadratic shape.

(i) The coefficient of edu does give the slope of the relationship between the wage and education. In the given equation, the coefficient of edu is 0.12.

This means that for every one unit increase in education (in years), the wage increases by 0.12 units.

For example, if a worker's education increases by 5 years, the wage would increase by 0.12 * 5 = 0.6 units.

(ii) The coefficient of age does represent the slope of the relationship between the wage and age. In the given equation, the coefficient of age is 0.06.

This means that for every one unit increase in age, the wage increases by 0.06 units.

For example, if a worker's age increases by 10 years, the wage would increase by 0.06 * 10 = 0.6 units.

(iii) The coefficient of age² does not represent the slope of the relationship between the wage and age. Instead, it represents the curvature of the relationship.

In the given equation, the coefficient of age² is -0.007.  As age increases, the wage initially increases at a decreasing rate, and then starts to decrease.

The coefficient of age² captures this pattern of the relationship.

In the second part of the question, if an inexperienced researcher specifies the PRF for economic growth incorrectly, it can lead to biased and inconsistent estimates of the coefficients. In terms of the estimation of β2 (the coefficient of inf), it would be difficult to determine the true relationship between domestic inflation and economic growth.

The estimated coefficient may be distorted and may not accurately capture the effect of domestic inflation on GDP growth.

In terms of the unbiasedness property of the coefficient of the variable of interest, if the regression model is misspecified, the coefficient estimates may not be unbiased. This means that the estimated coefficients may not provide an accurate representation of the true relationship between the variables. The graphical illustration of this would show a biased slope, where the estimated relationship deviates from the true relationship.

In summary, it is crucial to specify the correct regression model and ensure that it captures the true relationship between the variables of interest to obtain accurate and unbiased estimates.

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Compared to Ann and Bob, Colin has more. Thus, Ann is not have most money.

In the given question, we have to find Ann have the most money or not.

Three people Ann, Bob and Colin have a total of $1.80 between them, each having a different amount.

Ann has $0.6 amount and Bob has $0.5 amount.

Ann + Bob + Colin = 1.80

0.6 + 0.5 + Colin = 1.80

1.1 + Colin = 1.80

Subtract 1.1 on both side, we get

Colin = 0.70

So Colin has $0.70.

So, Colin has more amount than Ann and Bob. So Ann does not have most money.

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The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

x=33

y=134

z=46

Step-by-step explanation:

Lets solve for Z first. It is in a triangle with 2 angles already known: 84 and 50. Because the 3 angles in all triangles add to 180...

z+50+84=180

z=180-50-84

z=46

Angles z and y are supplementary, because they exist on the same line and are cut off by one line segment. This means that their angles add to 180.

180=y+z

we already know that z=46

180=y+46

y=180-46

y=134

Now we can use the same rule we used to find z, to find x.

x+y+13=180

we just found that y=134

x+134+13=180

x=180-134-13

x=33

Answer:

C goes to the first one B second one A goes to third one D last one

Step-by-step explanation:

Given:-

Solution:-

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Therefore , it will take her to read 1428 pages in 34 days.

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hope it helps! :)

The value of x, considering the similar triangles, is given as follows:

x = 26.

Similar triangles are triangles that share these two features listed as follows:

The two triangles in this problem are similar, due to the bisection, hence the equivalent side lengths are given as follows:

Then the proportional relationship is given as follows:

x/13 = 10/5.

Meaning that the value of x is given as follows:

x/13 = 2

x = 26.

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Slope of y = 2x +80 is 2, y-intercept is 80, x-intercept is -40.

Slope is defined as how much the y-coordinate changes with respect to the x-coordinate. Slope remains constant anywhere on the line.

Given equation is y = 2x + 80, where y is total amount of spending by tourist in Florida, in billions of dollars and x represents the number of years since 2013.

Equation of a line in slope-intercept form is,

y = mx + c, where m is the slope of the line and c is the y-intercept.

Comparing the given equation with slope-intercept form, we get,

m = 2 and c = 80

Domain of the equation includes number of years from 2013 - 2017 and the range of the equation is the corresponding y values.

Since slope is positive, as x value increases, y value also increases.

x- intercept is the point where the line touches the x-axis. y-coordinate will be zero at that point.

0 = 2x + 80 ⇒ x = -40

For the equation y = 2x +80, slope = 2, y-intercept = 80, x-intercept = -40.

Domain is the set of all number of years from 2013 - 2017 and range is the corresponding amount spend by tourist in the years from 2013-2017. As x value increases, y value also increases.

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Answer: M x X

P x E

YW x RK

Step-by-step explanation:

\(R_{x-axis}\) means \(P(x,y) \longrightarrow P'(x,-y)\).

\(R_{y-axis}\) means \(P(x,y) \longrightarrow P'(x,-y)\)

Explanation

Two Angles are Complementary when they add up to 90 degrees

Step 1

Let

Step 2

2. and 3.

Step 3

4.

finally, replace the value of BOC to find angle AOC

I hope this helps you

Answer:

No

Step-by-step explanation:

hes a made up character

Absolutely not>

Step-by-step explanation:

200-year-old horror story has real-world medical implications that still echo today. When Mary Shelley sat down to pen her 1818 gothic novel, Frankenstein. The Modern Prometheus, she wasn't writing a work of fiction. Shelley took the notion to its logical conclusion.

Answer:

So i found the teacher notes after hours of looking here are the exact answers so i would recommend changing the wording.

Part A: Ordered pairs in the form (mb, kmh): (1,000, 100) and (960,180) Let X be the barometric pressure and Y be the wind speed.

Slope= (180-100)

          ----------------    = -2

          (960-1000)

Formula: y=-2(x-1000)+100

Part B: y=-2(980-1000)+100=140

140 kmh is reasonable. Because 980 mb is halfway between 960 mb and 1000 mb, we should expect a wind speed halfway between 180 kmh and 100 kmh.

Part C: The wind speed intercept is (0,2100) [or (2100,0) if written that way.] This means that when brometric pressure is 0 mb, then the wind speed would be 2100 kmh. However in the context of real weather, this is an impossible situation.

Part D: The slope means that every decrease of 2 kmh in wind speed corresponds to a 1 mb increase in barometric pressure.

hoped this helped :)

Answer:

b and d

Step-by-step explanation:

Answer:

Think proportion and ratio.

The ball bounced twice and travelled 12ft.

The first bounce is twice the distance of the second bounce so the second bounce must be equal to two of the first.

2:1 of a total 12.

You now have three parts 12/3 =4

The first bounce is 2 times this amount which is 8 ft the second bounce was 4 ft as it was only one part.

By using the digits 0 to 9, the boxes are filled with their respective numerical values to make the chart accurate as shown in the image attached below.

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.

In Mathematics, there are different types of functions and these include the following;

A logarithm function can be defined as a type of function that represents the inverse of an exponential function. Mathematically, a logarithm function is written as follows:

y = logₐₓ

y = log₁₀10

y = log₁₀10 = 1.  

Therefore, if log₁₀x < 1, then, x < 10.  Also, if log₁₀x > 1, then, x > 10.

For this exercise, you should take note of this deductive points:

In conclusion, by using the digits 0 to 9, the boxes are filled with their respective numerical values to make the chart accurate as shown in the image attached below.

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The unknown angle of the right angle triangle is as follows:

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The sides of a right angle triangle can be named base on the position of the angles. The sides includes hypotenuse side, opposite side and adjacent side.

The sum of angles in a right angle triangle is 180 degrees.  Therefore, let's find the ∠C in the triangle ABC.

Therefore,

180 = ∠A + ∠B + ∠C

m ∠B = y + 40

m ∠C = 3y - 10

m ∠A = 90°

Hence,

180 = 3y - 10 + y + 40 + 90

180 = 4y + 120

180 - 120 = 4y

y = 60 / 4

y = 15

Hence,

m ∠C = 3(15) - 10

m ∠C = 45 - 10

m ∠C = 35 degrees

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Answer:

-8

Step-by-step explanation:

-4 (1)^2 -(1) -3

-4-1-3=-8

Answer:

-8

Step-by-step explanation:

Answer:

Una cebolla es un objeto tridimensional, en tanto tiene una profundidad, una altura y una anchura específicas.

Se entiende por tres dimensiones a la posibilidad de percibir un objeto a través de tres expresiones geométricamente diferentes: a través de su altura, es decir, su longitud; a través de su anchura, es decir, su extensión hacia los lados; y a través de su profundidad, entendida como la extensión que tiene el objeto desde sus bordes hacia adentro.

Answer:

89

Step-by-step explanation:

HOPE IT HELPS

Answer:

908

Step-by-step explanation:

879+29=908

\(\textbf{Given that,}\\\\~~~\dfrac 9{12} \div \dfrac{2}{12}\\\\\textbf{We can rewrite it as}\\\\~~~~\dfrac{9}{12} \times \dfrac 1{\tfrac{2}{12}}\\\\\\=\dfrac {9}{12} \times \dfrac{12}2\\\\\\=\dfrac 92\\\\\\=4.5\\\\\textbf{Hence the quotient is}~ \dfrac 92 ~ \textbf{or}~ 4.5.\)

Answer:

length:   5x + 2

width:   x - 2

Step-by-step explanation:

Factors of 5

1, 5

Factors of 4

1, 4

2, 2

Sign

one positive, one negative

Factor 5x^2 - 8x - 4

(5x + 2)(x - 2) = 5x^2 - 10x + 2x - 4

(5x + 2)(x - 2) = 5x^2 - 8x - 4

Therefor

length:   5x + 2

width:   x - 2

Therefore , the solution of the given problem of probability comes out to be  likelihood that a pupil who received a B is male is therefore 1/5,

or 0.2.

The primary goal of the schemes within a technique known as criteria is the evaluation of the likelihood that a claim is accurate or that a specific event will occur. Any figure between 0 and 1, with 0 typically signifying probability and 1 typically signifying a degree of certainty, can represent chance. A probability diagram shows the chance that a specific event will occur.

Here,

The Bayes theorem can be used to determine the likelihood that a pupil is male given that they received a B.

=> P(Male | B) = P(B | Male) * P(Male) / P(B)

where P(Male) is the likelihood that the student is male, P(Male) is the likelihood that the student is male, and P(B) is the chance that the student will receive a B overall.

Using the data in the chart, we can determine these probabilities:

P(B | Male) = 4/25

P(Male) = 25/65

P(B) = (4+16)/65 = 20/65

By entering these numbers, we obtain:

=> P(Male | B) = (4/25) * (25/65) / (20/65)

=>  4/20

=>  1/5

The likelihood that a pupil who received a B is male is therefore 1/5, or 0.2.

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The probability that two men will be selected from the first set and two women will be selected from the second set is 3/10 * 2/3, or 1/5.

The probability of selecting two men from the first set is 3/4. This is because there are 3 men in the first set and the probability of selecting one is 1/4. Since we need to select two, the probability of selecting both is 3/4 multiplied by itself, or 3/4 x 3/4. The probability of selecting two women from the second set is 2/3. This is because there are 2 women in the second set and the probability of selecting one is 1/3. Since we need to select two, the probability of selecting both is 2/3 multiplied by itself, or 2/3 x 2/3. The probability of selecting two men from the first set and two women from the second set is then 3/4 x 3/4 x 2/3 x 2/3, which is equal to 3/10 x 2/3, or 1/5.

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