Ann made $35.000 in taxable income last year. Suppose the income tax rate is 10% for the first $8000 plus 16% for the amount over $8000. How much must Ann pay in income tax for last year?

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Answer:

Around 30 times I believe

Answer:

\(y=-4x+5\)

Step-by-step explanation:

The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).

Notice that they are now worth half of their original value.

Therefore, there was a 50% discount

In graphing y > 2x - 7, a dashed line is used.

Answer: True

Explanation

Whenever we graph > or < , the boundary line is not inclusive of the range of solutions. Hence, we use a dashed line on the boundary.

On the other hand, whenever we have the inequality <= or >= , the

answer: true

explanation: my teacher just did it

Answer:

Step-by-step explanation:

1) Add 30+90 to get 120 and subtract 180-120= 60 as your third angle.

2) Take sin60= x/6 to get x= 3√3

3) Take sin30= y/6 to get y= 3

Here's a tip to verify this answer.

Use Pythagorean Theorem to do:

Square root of (3√3)^2 + 3^2 which equals 6 as your hypotenuse!

a) The region in the X-Y plane for which the joint density of X and Y is non-zero is a triangle with vertices at (0,0), (0,2), and (2,2).

b) The joint density function for X and Y is given by: f(x,y) = 1/2 for 0 < x < y < 2.

c) The marginal probability density for Y is given by: fY (y) = ∫ f(x,y) dx = (1/2) y for 0 < y < 2.

d) The conditional probability density of X, conditional on Y = y, is given by: fX|Y (x|y) = f(x,y)/fY (y) = 2 for 0 < x < y < 2.

This only exists for 0 < y < 2.

a) The region in the X-Y plane for which the joint density of X and Y is non-zero is a triangle with vertices at (0,0), (0,2), and (2,2). This is because the lengths of the two pieces of the ruler must be non-negative and must add up to 2.

b) The joint density function for X and Y is given by:

f(x,y) = 1/2 for 0 < x < y < 2.

c) The marginal probability density for Y is given by:

fY (y) = ∫ f(x,y) dx = (1/2) y for 0 < y < 2.

d) The conditional probability density of X, conditional on Y = y, is given by:

fX|Y (x|y) = f(x,y)/fY (y) = 2 for 0 < x < y < 2. This only exists for 0 < y < 2.

Note: The factor of 1/2 in the joint density function accounts for the uniform distribution of the two breaks on the ruler, while the factor of 2 in the conditional density function accounts for the change of variables from the joint density to the conditional density.

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The greater unit rate of the two functions is 2. The greater y-intercept of two functions is 6.

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

From the given table, (0, 5) and (5, 15)

Here, slope(m)=(y2-y1)/(x2-x1) =(15-5)/(5-0)

= 10/5

= 2

Substitute m=2, (x, y)=(0, 5) in y=mx+c, we get

5=2(0)+c

c=5

Substitute m=2, c=5 in y=mx+c, we get

y=2x+5 --------(I)

From the graph, (-4, 0) and (0, 6)

Here, slope(m)=(6-0)/(0+4)

= 3/2

= 1.5

Substitute m=1.5, (x, y)=(0, 6) in y=mx+c, we get

6=1.5(0)+c

c=6

Substitute m=1.5, c=6 in y=mx+c, we get

y=1.5x+6 --------(II)

Therefore, the greater unit rate of the two functions is 2. The greater y-intercept of two functions is 6.

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Answer:

77

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

You use a method called KCF (Keep, change, flip), which means that you keep the first fraction, change the division sign to a multiplication sign, and flip the fraction of 3/4 to 4/3. After that you can just multiply \(\frac{9}{4}\) into \(\frac{4}{3\\}\) which gives you \(\frac{36}{12}\) and can be simplified to give you 3.

Answer:

3

Step-by-step explanation:

keep change flip

keep 9/4

change the divide symbol to a multiplication symbol

flip 3/4 to 4/3

work:

9            4

__   X   __

4            3

36

___   =    3

12

Answer:27,375

Step-by-step explanation:

75 x 365

Answer:

456.25

or 27375 minutes

Step-by-step explanation:

because if u times 75 and 365(days in a year) u will get 27375 minutes a year which i simplifyed but divideding that number by one hour aka 60 minutes so 27375/60 gets u 456 hours and 25 minutes

Using the coordinates of the vertices of a polygon (-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1) the perimeter of the polygon is 16.0 units

The perimeter is calculated by summing the sides

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

(-3, 1) and (-3, 3) =√{(-3 - -3)² + (3 - 1)²} = 2

(-3, 3) and (-1, 5) = √{(-1 - -3)² + (5 - 3)²} = 2√2

(-1, 5) and (2, 4) = √{(2 - -1)² + (4 - 5)²} = √10

(2, 4) and (2, 1) = √{(2 - 2)² + (1 - 4)²} = 3

(2, 1) and (-3, 1) = √{(-3 - 2)² + (1 - 1)²} = 5

The perimeter = 2 + 2√2 + √10 + 3 + 5

The perimeter = 15.9907

The perimeter = 16.0 units

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30 gallons of 28% butterfat and 30 gallons of 16% butterfat should be combined to create a 60-gallon mixture that is 22 % butterfat.

Let x gallon of 28% butterfat mixed with the y gallon of 16% butterfat to obtain 60 gallons of 22.5% butterfat,

⇒ x + y = 60 ⇒ x = 60 - y ----(1),

Quantity of butterfat in x gallon + quantity of butterfat in y gallon = total quantity of butterfat,

⇒ 28% of x + 16% of y = 22% of 60

⇒ 0.28x + 0.16y = 0.22 × 60

⇒ 0.28x + 0.16y = 13.2

⇒ 28x + 16y = 1320

⇒ 14x + 8y = 660

From equation (1),

14(60-y) + 8y = 660

840 - 14y + 8y = 660

6y = 180

y = 30

Again from equation (1),

x = 60 - y

= 60 - 30

= 30

Hence, 30 gallons of 28% butterfat and 30 gallons of 16% butterfat are combined to create a 60-gallon mixture that is 22%

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The expression 163.28 + 75.459 is a sum expression, and the result of 163.28 + 75.459 is 238.739

The expression is given as:

163.28 + 75.459

The expression is best solved using a calculator.

However, in the absence of a calculator, the following steps can be applied.

Expand each term

163.28 + 75.459 = 163 + 0.28 + 75 + 0.459

Reorder the terms

163.28 + 75.459 = 163 + 75+ 0.28  + 0.459

Add the decimals and integers

163.28 + 75.459 = 238.739

Hence, the result of 163.28 + 75.459 is 238.739

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Answer:

2

Step-by-step explanation:

6×3÷4=2

Hope this helps you

Answer:

5-y/5y

Sorry Im not to sure but maybe this will help?

Step-by-step explanation:

As per the given variables, Victor jumped a total of 4 yards.

Total yards jumped = 6 feet high

Additional yards = 2

A yard is one linear yard. "Yd" is the yard symbol. The standard of measurement has always been derived from either a natural item or a portion of the human body, such as a foot, an arm's length, or the width of a hand.

Converting the initial jump of 6 feet to yards, as the additional distance given is also in yards.

There are 3 feet in a yard, therefore -

6 feet = 6/3  

= 2

Thus, Victor jumped 2 yards initially, and then 2 more yards as given in the problem.

Calculating, the total distance Victor jumped in yards -

= 2 + 2

= 4

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Answer:

J_116

Step-by-step explanation:

because brownies =$82

and cookies would equal to $58

The equation of the new function is:

\(g(x) = \frac{2^x}{5}\)

Here we have the function:

\(f(x) = 2^x\)

A vertical compression by a factor of 5 is written as:

\(g(x) = f(x)/5\)

Replacing the function f(x) we get:

\(g(x) = \frac{2^x}{5}\)

That is the equation of the new function.

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Answer:

The answer is 4'

Step-by-step explanation:

The answer is 4, 123456789, 6 12, 18, 24, 30, 36, 42, 48.

Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.

To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.

Derrick planted 20% of the 150 strawberry plants:

20% of 150 = (20/100) * 150 = 30 strawberry plants.

Janis planted 60% of the 150 strawberry plants:

60% of 150 = (60/100) * 150 = 90 strawberry plants.

Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.

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Answer:

The correct answer is C, Graph D.

x^2 - 4x + 4 = (x - 2)^2.

Answer:

I think it is a. (1,-4) b. (1,4) c. (-1,4) and d. (4, -1)

Step-by-step explanation:

Im sorry if this did not help you but I tried.

Answer:

A (-1, 4)

Step-by-step explanation:

When you reflect over the y=x line the rule is that the Y and X switch places. So, (4, -1) ---> (-1, 4)

Answer:

-2.7 < y

Step-by-step explanation:

2.9 < 5.6+y

Subtract 5.6 from each side

2.9-5.6 < 5.6-5.6+y

-2.7 < y

The equations to solve the length of the room is

a) y² - 5y = 750

b) 750 - y ( y - 5 ) = 0

c) ( y + 25 ) ( y - 30 ) = 0

Given data ,

Let the area of a rectangular room is 750 square feet.

Let the width of the room is 5 feet less than the length of the room

So , on simplifying , we get

w = l - 5

Area of rectangle = length x width

And , A = l x w

A = l ( l - 5 )

750 = y ( y - 5 )

Therefore , the equation is

a) y² - 5y = 750

b) 750 - y ( y - 5 ) = 0

On simplifying the quadratic equation , we get

c) ( y + 25 ) ( y - 30 ) = 0

Hence , the length of the rectangular room is solved

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The complete question is attached below :

Which equations can be used to solve for y, the length of the room? Select three options.

a) y(y + 5) = 750

b) y² – 5y = 750

c) 750 – y(y – 5) = 0

d) y(y – 5) + 750 = 0

e) (y + 25)(y – 30) = 0

Answer:

$2,625 ( i think )

If im right add me on snap pls

idk_marqo

Key features for the graph given in the problem will be-:Vertex (-1, -5), Axis of symmetry=> (x = -1), y-intercept (0,-3), Minimum=> (y=-5), Domain=> (All Real), Range=>( y >= -5)

Refering to the graph given in the problem(refer image attached).The key features of the graph can be given as:

The graph has an upward-opening form, an axis of symmetry at x = -1, a y-intercept at (0, -3), a minimum point at y = -5 (which is also the vertex), and it spans all real numbers on the x-axis (domain) while being larger than or equal to -5 on the y-axis (range).

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We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

The algorithm justifies the answer of 3/5 as the fraction each person gets.

Representation of the fractions on the second row:

From what you described, two of the loaves were divided into thirds.

This means each person receives one third, and there is one third remaining. Then, this remaining third from the second loaf was further divided into fifths.

Therefore, each person receives one fifth from this remaining third.

So, the representation of the fractions on the second row would be:

Each person receives 1/3 (one third) from the two loaves.

Each person receives 1/5 (one fifth) from the remaining third.

Algorithm/Abstract strategy to justify the 3/5 found as the answer:

To find the final answer of 3/5, we can follow the steps you provided:

Divide two loaves into thirds, giving each person 1/3.

Divide the remaining third from the second loaf into fifths, giving each person 1/5.

Combining the fractions, each person has 1/3 + 1/5.

To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 5 is 15. We can convert 1/3 and 1/5 to have a denominator of 15:

1/3 = 5/15 (multiplying numerator and denominator by 5)

1/5 = 3/15 (multiplying numerator and denominator by 3)

Now, we can add the fractions:

5/15 + 3/15 = 8/15

Therefore, each person receives 8/15 of a loaf.

Simplifying this fraction, we get 3/5.

Hence, the algorithm justifies the answer of 3/5 as the fraction each person gets.

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