A certain state uses the following progressive
tax rate for calculating individual income tax:
Income
Progressive
Range ($)
Tax Rate
0 - 3000
2%
3001 - 5000
3%
5001 - 17,000
5%
17,001 and up
5.75%
Calculate the state income tax owed on an $80,000
per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount..
Enter

Using the concept of correlation, it is found that a strong positive correlation is expected between these two variables.

In this problem, the older the car, the more it should have traveled, that is, the higher the read on the odometer, hence, there is a direct proportional relationship, which means that the variables have a strong positive correlation.

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Answer:

2462.4 square inches

Step-by-step explanation:

we know the shorted side of the wall is 36 inches so we divide 2.5 to 36 to see how much bigger the actual wall is to the scale

36/2.5= 14.4

The actual wall is 14.4 times bigger than the scale

14.4 x 4.75= 68.4

68.4 x 36= 2462.4 inches

Given data:

The given statement.

The contrapositive of the given statement is,

If snoopy dance a jig, then Charles Schultz write a sonata.

Thus, the contrapositive statement of the given statement is '' If snoopy dance a jig, then Charles Schultz write a sonata''.

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Based on the Law of Cosines; it was proven that:

Please note that the given equation on number 3 is wrong. The correct equation should be: a² + b² + 2bx = c². The explanation why the given equation is incorrect will be explained later.

Based on the unshaded triangle, we can find that:

cos Θ = x/a

Next, we will prove that: cos (180 - C) = x/a

Remember that:

cos (A + B) = cos A cos B - sin A sin B

Law of Cosines: c² = a² + b² - 2ab. cos C

cos C = - [c² - (a² + b²)] /2ab ... (i)

Then:

cos Θ = cos (180 - C)

cos (180 - C) = cos 180 . cos C - sin 180 . sin  C

We subtitute equation (i):

cos (180 - C) = (-1) (- [c² - ((a² + b²)] / 2ab) - 0 sin C

cos (180 - C) = [c² - (a² + b²)]/ 2ab ... (ii)

If we focus on the unshaded triangle, we can find an equation of a, where:

a² = h² + x² ... (iii)

And if we combine both triangle into a giant triangle, we can make another equation of c. where:

c² = (x + b)² + h² ... (iv)

We will subtitute equation (iv) into equation (ii):

cos (180 - C) =  [c² - (a² + b²)]/ 2ab

cos (180 - C) = [(x + b)² + h² - (a² + b²)] / 2ab

cos (180 - C) = [x² + b² + 2bx + h² - a² - b²] / 2ab

cos (180 - C) = [x² + 2bx + h² - a²] / 2ab ... (v)

We subtitute equation (iii) into equation (v):

cos (180 - C) = [x² + 2bx + h² - a²] / 2ab

cos (180 - C) = [a² + 2bx - a²] / 2ab

cos (180 - C) = 2bx / 2ab

cos (180 - C) = x/a --> PROVEN!

Next, we will try to show why the given equation of a² + b² - 2bx = c² is incorrect.

We know that:

a² + b² - 2ab cos C = c²

c² = (x + b)² + h²

We will try to find the value of cos C:

a² + b² - 2ab cos C = (x + b)² + h²

a² + b² - 2ab cos C = x² + b² + 2bx + h²

a² - 2ab cos C = a² + 2bx

- 2 ab cos C = 2bx

cos C = - x/a

We will subtitute the value of cos C under the Law of Cosines:

c² = a² + b² - 2ab cos C

c² = a² + b² - 2ab (- x/a)

c² = a² + b² + 2bx --> PROVEN!

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The values of the expressions are;

z³³

d⁻¹⁶

Note that index forms are described as forms used in the representation of numbers or variables too large or small.

Some rules of index forms are;

Then, from the information given, we have that;

(z⁻⁴/z⁶  × z⁵/z⁻⁶)⁻¹¹

Subtract the exponents, we have;

(z⁻² × z⁻¹)⁻¹¹

expand the bracket

z²² ⁺ ¹¹

z³³

(d⁴)⁻³/(d⁶)⁻²  ÷  (d⁴/d⁶)⁻⁸

expand the brackets

d⁻¹²/d¹²  ÷    (d⁻²)⁻⁸

subtract the exponents

d⁰  ÷  d¹⁶

d⁻¹⁶

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Answer:

\(y = 4\)

Step-by-step explanation:

Because no matter what value x is, y is always 4

A certain state uses the following progressive

tax rate for calculating individual income tax:

Income Progressive

Range ($) Tax Rate

0 - 10,000

3%

10,001 - 50,000 5%

50,001 - 100,000 5.5%

Calculate the state income tax owed on a $50,000

per year salary.

tax = $[?]

Answer:

4.57

Step-by-step explanation:

i dont have no explanation

Answer:

9,000

Step-by-step explanation:

8,000/100=80

80x3.75=300

300x30=9,000

30 being the amount of years

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

answer:

240.25

step-by-step explanation:

two hundred forty - - > 240

twenty-five hundredths - - > .25

The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.

The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.

From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).

The x-values of these points are 0, 1, and 4.

Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.

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Answer:

Answer: Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.

You need to end up a mixture that is 60% antifreeze.

You have 90 gallons of 25% antifreeze, which means it has .25*90 = 22.5 gallons of pure antifreeze mixed with a solvent (probably water).

.

You will add 'x' gallons of 70% antifreeze to make the 60% mixture.

So, at the conclusion, you will have (90+x) gallons  60% 'pure' antifreeze. That can be shown with the equation:

.

.25*90 + .7*x = .6*(90+x)

.

Multiply by 100 to eliminate fractions.

.

25*90 + 70x = 60(90 +x)

.

2250 + 70x = 5400 + 60x

.

10x = 5400 -2250

.

10x = 3150

.

x = 315 gallons of 70% antifreeze.

.

How much will you end up having on hand?

90 + 315 = 405 gallons

.

If it is 60% antifreeze, how much 'pure' antifreeze will be in the mixture?

.6*405 = 243

.

In the original 90 gallons, you have 22.5 gallons of pure antifreeze.

In the additional 315 gallons, you have .7*315 = 220.5 gallons.

22.5+220.5 = 243 gallons

Step-by-step explanation:

Answer:

least common denominator for 2 and 5 is 10.

$500 was invested, with $300 earning 8% interest and the remaining $38 earning 7% interest.

You pay interest when you borrow money, and banks pay you interest when you save money with them. The annual savings or borrowing percentage is how interest rates are expressed.

Given that

Total  investment = $ 500

Let's say that $500-x was invested at 8% and $x was invested at 7%.

∴ The total interest after 1 year =$ x×7×1/100 + (500 - x) ×8 1 /100

x×7×1/100 + (500 - x) ×8 1 /100 = 38

7x +4000 - 8x = 38×100

-x = 3800 - 4000

x = $ 200

Therefore $(500-200)= $300 was invested at 8% rate.

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Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:  

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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Answer:

1:3

Step-by-step explanation:

:))

1:3

15 / 15 = 1

45 / 15 = 3

So its 1:3

the counting number just before C5F16 is 3,072.

Answer:

Graph C

Step-by-step explanation:

We can tell because the equation states that the y intercept is -3 and has a steep slope

Answer:

answer 3

Step-by-step explanation:

point slope form is

\(y - y1 = m(x - x1)\)

The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.

A line segment in mathematics has two different points on it that define its boundaries.

A line segment is sometimes referred to as a section of a path that joins two places.

Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.

A line graph with Distance, in yards, on the x-axis and Age of the Runner on the y-axis. The x-axis has a scale from 0 to 80 in increments of 10. The y-axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6, and 60, 6 is drawn.

The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.

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Answer:

the correct option is D

Step-by-step explanation:

There are 120 different ways to create a path to 3 different roller coasters at Six Flags.

There are a total of 10 choose 3 ways (120) to choose 3 roller coasters out of the 10 available at Six Flags. To calculate this, we can use the combination formula.

The combination formula is:

In this case, n is 10 and r is 3, so the total number of possible combinations is

To calculate the number of combinations without using a formula, we can use the following method: Start with the first roller coaster, then add a second roller coaster, then a third. There are 10 choices for the first roller coaster, then 9 for the second, and 8 for the third. This results in:

which is 6 times more than the 120 calculated by the combination formula. This is because the combinations ABC and CBA are the same, and so are other combinations that are just permutations of each other.

Therefore, there are 120 different ways to create a path to 3 different roller coasters at Six Flags.

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The expected profit of the man from the horse race is $22,400.

Given data:

To find the man's expected profit, calculate the probability of each outcome and multiply it by the corresponding profit.

To determine the probability of each outcome based on the given information:

Probability of winning both races = 0.30 * 0.40

Probability of winning both races = 0.12

Probability of winning one race = 0.30 * 0.60 + 0.70 * 0.40

Probability of winning one race = 0.46

Probability of losing both races = 0.70 * 0.60

Probability of losing both races = 0.42

Next, calculate the expected profit for each outcome:

Profit from winning both races = $90,000 - $20,000

Profit from winning both races = $70,000

Profit from winning one race = $55,000 - $20,000

Profit from winning one race = $35,000

Profit from losing both races = $15,000 - $20,000

Profit from losing both races = -$5,000 (a loss of $5,000)

Now, determine the man's expected profit by multiplying the probability of each outcome by the corresponding profit and summing them up:

Expected profit = (0.12 * $70,000) + (0.46 * $35,000) + (0.42 * -$5,000)

Expected profit = $8,400 + $16,100 - $2,100

Expected profit = $22,400

Hence, the man's expected profit is $22,400

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Answer:

B

Step-by-step explanation:

91 - 4 is 87

87 + 4 = 91

I am not entirely sure what to do in this question but if u have a time limit then I would put the answer if not just wait for another answer.

The company should produce 5 units of Metakeb tractors, 8 units of Mewesson tractors, and 16 units of Metekem tractors in a month to use up all the available resources.

What is equations ?

An equation is a mathematical statement that shows that two expressions are equal. It consists of two expressions separated by an equals sign. For example, 3x + 5 = 14 is an equation that states that the sum of 3 times x and 5 is equal to 14.

Let x, y, and z be the number of units of Metakeb, Mewesson, and Metekem tractors produced, respectively.

Then we have the following system of equations based on the time required in each department:

\(1200x + 1800y + 3000z &\leq 63000 \\&&\text{(machining department)}\2400x + 1200y + 1200z &\leq 69600 \\&&\text{(assembly department)}\600x + 3000y &\leq 49800 \\&&\text{(inspection department)}\)

Converting the hours to minutes, we get:

Machining department: 1050 hours = 63,000 minutes

Assembly department: 1160 hours = 69,600 minutes

Inspection department: 830 hours = 49,800 minutes

We can rewrite the system of equations as follows:

\(20x + 30y + 50z &\leq 1050 &&\text{(machining department)}\\ \\10x + 5y + 5z &\leq 580 &&\text{(assembly department)}\\ \\x + 5y &\leq 83 &&\text{(inspection department)}\\ \\\)

To use Gaussian elimination to solve the system of equations, we first write the augmented matrix:

\(\begin{bmatrix}20 & 30 & 50 & | & 1050 \\10 & 5 & 5 & | & 580 \\1 & 5 & 0 & | & 83\end{bmatrix}\)

Performing row operations to obtain row echelon form:

\(\begin{bmatrix}20 & 30 & 50 & | & 1050 \\0 & -55 & -95 & | & -790 \\0 & 1 & -5/4 & | & -1.35\end{bmatrix}\)

Next, perform additional row operations to get the matrix in reduced row echelon form:

\(\begin{bmatrix}20 & 30 & 50 & | & 1050 \\0 & 1 & 19/55 & | & -14.36 \\0 & 0 & 367/55 & | & 105.36\end{bmatrix}\)

Finally, solve for the variables:

\(z &= \frac{105.36}{367/55} = 16 \\ \\y + \frac{19}{55}z &= 14.36 \\ \\y + \frac{19}{55}(16) &= 14.36 \\ \\y &= 8 \\ \\20x + 30y + 50z &= 1050 \\ \\20x + 30(8) + 50(16) &= 1050 \\ \\20x &= 90 \\ \\x &= 4.5\)

Therefore, the company should produce 4.5 units of Metakeb tractors, 8 units of Mewesson tractors, and 16 units of Metekem tractors in a month to use up all the available resources. Since we cannot produce fractional units, we can round up the values of x and y to obtain a feasible production plan of 5 units of Metakeb tractors and 8 units of Mewesson tractors.

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Answer:

A) m∠3 + m∠6 = 90

Step-by-step explanation:

Angles 3 and 6 are complementary angles. This means they add up to 90 degrees. Since you know the angle that is a right angle due to the box, you know these angles add up to 90 degrees