Mary has taxable income of $40,000, with short-term capital gains of $2,500. What will be her capital gains tax rate and tax owed? Single Taxpayers: Income Brackets Tax Rate Income Bracket 10% 0 to 9,525 12% 9,526 to 38,700 22% 38,701 to 82,500 24% 82,501 to 157,500 32% 157,501 to 200,000 35% 200,001 to 500,000 37% > 500,000 Single Taxpayers: Qualified Dividends and Long-Term Capital Gains Tax Rate Income Bracket 0% 0 to 38,600 15% 38,601 to 425,800 20% > 425,800 A. 0% tax rate with no taxes owed B. 15% tax rate with $375 in taxes owed C. 22% tax rate with $550 in taxes owed D. 24% tax rate with $600 in taxes owe

Answer:

y= -3/5x+2

Step-by-step explanation:

you can use slope intercept form which is y=mx+b

slope is the m, which is -3/5

b is the y intercept, which is 2.

y=-3/5x+2

Answer:

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Answer:

32 has exponent of 3

55 has exponent of 2

Step-by-step explanation:

The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the concept of Angles.

Here we apply the concept of the Adjacent angles and linear pair of the angles.

1.) Angle 1 = 90° and Angle 2 = 60°

2.) Angle 4 = 90° and Angle 3 = 70°

3.) Angle 6 = 90° and Angle 5 = 65°

The proper way to construct a stem-and-leaf plot to display the data set {62,67,68,73, 73, 79,91,94,95,97} is to include a stem labeled ‘8’ and enter no leaf on the stem. So, the correct choice is option (b).

A stem and leaf graph is like a special table where each data value is separated into a "stem" (the first number) and a "leaf" (usually the last number). Leaves are sorted in ascending order from left to right. We have a data set with values {62,67,68,73, 73, 79,91,94,95,97}. Now, to construct the stem- leaf plot for our data.

Stem | Leaf

6 | 2 7

7 | 3 3 9

9 | 1 4 5 7

For stem and leaf diagram if some values are not present for some stem, then no leaf should be added to that stem. If we skip that stem than it would distort the shape of distribution of the data.

stem | leaf

6 | 2 7

7 | 3 3 9

8 |

9 | 1 4 5 7

Hence, include a stem labeled 8 and enter no leaves on the stem.

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Complete question:

The proper way to construct a stem-and-leaf display for the data set {62, 67, 68, 73, 73, 79, 91, 94, 95, 97} is to

a)exclude a stem labeled ‘8

b)include a stem labeled ‘8’ and enter no leaves on the stem.

c) include a stem labeled ‘(8)’ and enter no leaves on the stem.

d) include a stem labeled ‘8’ and enter one leaf value of ‘0’ on the stem.

According to the given statement , the value of "b" in the equation cos(22.6°) = b/13 is approximately 12.

To solve for "b" in the equation cos(22.6°) = b/13, we can use trigonometric functions.

Step 1:

Rewrite the equation as cos(22.6°) = b/13.

Step 2:

Multiply both sides of the equation by 13 to isolate "b". This gives us:

b = 13 * cos(22.6°).

Step 3:

Use a calculator to find the cosine of 22.6°. The value of cos(22.6°) is approximately 0.9239.

Step 4:

Substitute this value back into the equation to find "b". b = 13 * 0.9239.

Step 5:

Calculate the value of "b" by multiplying 13 by 0.9239. The result is approximately 11.999.

Step 6:

Round the value of "b" to the nearest whole number. Since 11.999 is closer to 12, we round up to 12.

Therefore, the value of "b" in the equation cos(22.6°) = b/13 is approximately 12.

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The formula for logistic growth can be expressed as P(t) = K / (1 + A * e^(-rt)), where P(t) is the population at time t, K is the carrying capacity, r is the growth rate, A is the initial population.

Logistic growth is a type of population growth that considers a carrying capacity, which is the maximum population size that an environment can sustain. The formula for logistic growth takes into account the carrying capacity (K), the growth rate (r), and the initial population (A) to describe how the population changes over time.

In this case, the carrying capacity is given as 1500, and the growth rate is 0.25 per year. Let's denote the population at time t as P(t).

The formula for logistic growth can be written as:

P(t) = K / (1 + A * e^(-rt))

Plugging in the given values, we have:

P(t) = 1500 / (1 + A * e^(-0.25t))

The value of A is not explicitly given, so it represents the initial population. If the initial population is known, it can be substituted into the formula. If not, A can be left as a variable.

The term e^(-0.25t) represents the exponential decay component, which approaches 0 as t increases. It is multiplied by A, allowing the population to approach the carrying capacity over time.

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We are asked to determine the p-values for a proportion that is greater than 0.51. Since we are asked about the hypothesis being greater then the p-value is given by:

This is a right-tailed test. To determine this probability we need to use the fact that:

replacing we get:

Now, from the tables for z-scores in the normal distribution we get:

Therefore, the p-value is 0.0011

Answer:

y=4x+7

Step-by-step explanation:

replace x by any one number and find out

Answer:

did u just forget to attach a pic

Step-by-step explanation:

In the question, the independence assumption may have been violated, while the Nearly Normal Condition is likely justified. Therefore, the use of the Student-t model for inference may be unreliable.

a) In order to perform a hypothesis test on the claim made by the diet guide, we need to assess the assumptions and conditions required for reliable inference. The independence assumption states that the observations are independent of each other. In this case, it is not explicitly mentioned whether the yogurt samples were independent or not. If the samples were obtained from the same batch or were not randomly selected, the independence assumption could be violated.

Regarding the Nearly Normal Condition, which assumes that the population of interest follows a nearly normal distribution, it is reasonable to assume that the distribution of calorie counts in vanilla yogurt is approximately normal. However, since we do not have information about the population distribution, we cannot definitively justify this condition.

b) The appropriate hypotheses for testing the claim made by the diet guide would be:

H0: The average calories per serving of vanilla yogurt is 120.

HA: The average calories per serving of vanilla yogurt is not equal to 120.

To test these hypotheses, we can use a t-test for a single sample. The test statistic (t) can be calculated by taking the mean of the sample calorie counts and subtracting the claimed average (120), divided by the standard deviation of the sample mean. The p-value can then be determined using the t-distribution and the degrees of freedom associated with the sample.

Without the actual sample mean and standard deviation, it is not possible to provide the specific test statistic and p-value for this scenario. These values need to be calculated using the given data (calorie counts) in order to draw a conclusion about the claim made by the diet guide.

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Answer:40 more

Step-by-step explanation: since 5/9 of 360 is 200, and 360-200 is 160, you get 200-160=40

Answer:

The inequality for this would be n ≥ 20.

We know this because it must be larger than 40. We also know it can possibly be equal because the statement says "at least".

Step-by-step explanation:

The response y(t) graphically, we can first plot the individual functions h(t) and x(t) on a graph, and then determine their convolution to obtain y(t). Let's go step by step:

Plotting h(t):

The function h(t) is defined as h(t) = [u(t-1) - u(t-4)].

The unit step function u(t-a) is 0 for t < a and 1 for t ≥ a. Based on this, we can plot h(t) as follows:

For t < 1, h(t) = [0 - 0] = 0

For 1 ≤ t < 4, h(t) = [1 - 0] = 1

For t ≥ 4, h(t) = [1 - 1] = 0

So, h(t) is 0 for t < 1 and t ≥ 4, and it jumps up to 1 between t = 1 and t = 4. Plotting h(t) on a graph will show a step function with a jump from 0 to 1 at t = 1.

Plotting x(t):

The function x(t) is defined as x(t) = t[u(t) - u(t-2)].

For t < 0, both u(t) and u(t-2) are 0, so x(t) = t(0 - 0) = 0.

For 0 ≤ t < 2, u(t) = 1 and u(t-2) = 0, so x(t) = t(1 - 0) = t.

For t ≥ 2, both u(t) and u(t-2) are 1, so x(t) = t(1 - 1) = 0.

So, x(t) is 0 for t < 0 and t ≥ 2, and it increases linearly from 0 to t for 0 ≤ t < 2. Plotting x(t) on a graph will show a line segment starting from the origin and increasing linearly with a slope of 1 until t = 2, after which it remains at 0.

Obtaining y(t):

To obtain y(t), we need to convolve h(t) and x(t). Convolution is an operation that involves integrating the product of two functions over their overlapping ranges.

In this case, the convolution integral can be simplified because h(t) is only non-zero between t = 1 and t = 4, and x(t) is only non-zero between t = 0 and t = 2.

The convolution y(t) = h(t) * x(t) can be written as:

y(t) = ∫[1,4] h(τ) x(t - τ) dτ

For t < 1 or t > 4, y(t) will be 0 because there is no overlap between h(t) and x(t).

For 1 ≤ t < 2, the convolution integral simplifies to:

y(t) = ∫[1,t+1] 1(0) dτ = 0

For 2 ≤ t < 4, the convolution integral simplifies to:

y(t) = ∫[t-2,2] 1(t - τ) dτ = ∫[t-2,2] (t - τ) dτ

Evaluating this integral, we get:

\(y(t) = 2t - t^2 - (t - 2)^2 / 2,\) for 2 ≤ t < 4

For t ≥ 4, y(t) will be 0 again.

Maximum value of y(t):

To find the value of t at which y(t) reaches its maximum value, we need to examine the expression for y(t) within the valid range 2 ≤ t < 4. We can graphically determine the maximum by plotting y(t) within this range and identifying the peak.

Plotting y(t) within the range 2 ≤ t < 4 will give you a curve that reaches a maximum at a certain value of t. By visually inspecting the graph, you can determine the specific value of t at which y(t) reaches its maximum.

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Answer:

12

Step-by-step explanation:

23=r+11

r=23-11

r=12

Answer:

r=12

Step-by-step explanation:

We are given the equation 23=r+11. To solve for r, one side of the equation needs to be r, so we will isolate r by subtracting 11 on both sides:

23-11=r+11-11

12=r

Because the +11 and -11 cancel out, we are left with r on the right side of the equation and 12 on the left side. Therefore, the value of r is 12, or r=12.

The value of x for the right triangle is equal to 2√3 and the correct option is F

The side x of the right triangle divides the triangle in two triangles with the same proportions as the original triangle. This implies that if the adjacent for the smallest triangle is 2 and the adjacent of the other triangle is x, then:

x/2 = 6/x {considering the tangent ratio}

x² = 2 × 6 {cross multiplication}

x = √12

x = √(4 × 3)

x = √4 × √3

x = 2√3

Therefore, the correct option is F and the value of x for the right triangle is equal to 2√3

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After finding out the value of ln (52) and rounding value it to the nearest ten thousandth, we have the value as 3.9512.

Given logarithm function is ln (52).

We have to find out the value of the logarithm by rounding it to the nearest ten thousandth.

The easiest way to do this is to make use of a calculator where we can put the value of natural log.

After putting ln (52) in the calculator, we have

ln (52) = 3.951243719

In order to round the answer of ln (52) to the nearest ten thousandth, we have to first check if the number after the ten thousandth one is greater than 5 or if it is not.

Here, the ten thousandth number is 2. The number after the ten thousandth one is 4 which is less than 5. So, there will be no increase in the ten thousandth number.

Therefore, rounding the value of ln (52) to the nearest ten thousandth, we have the value as 3.9512.

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The constants α, β, and k are all zero, and the solution to the IVP is y(t) = e²{-2t}, with t = -0.5ln(7)  the condition limt→∞y(t) = 7,t = -0.5ln(7)

Using the method of undetermined coefficients to find the general solution of the differential equation:

y'' + 3y' + 2y = 0

The characteristic equation is:

r²2 + 3r + 2 = 0

Factoring this equation, we get:

(r + 2)(r + 1) = 0

So the roots are r1 = -2 and r2 = -1. Therefore, the general solution is:

y(t) = c1e^{-2t} + c2e^{-t}

Next, we use the information that y1(t) = e²{-3t} is a solution to the differential equation. Substituting this into the general solution, we get:

e²{-3t} = c1e²{-2t} + c2e²{-t}

equation to solve for c1 and c2. Multiplying both sides by e^{2t}, we get:

e²{-t} = c1 + c2e²t

Taking the limit as t approaches infinity,  that c1 must be zero in order for the right-hand side to converge to a finite value. Therefore, we have:

c1 = 0

Substituting this into the previous equation,

e²{-t} = c2e²t

Dividing both sides by e²t,

e²{-2t} = c2

Therefore, we have:

c2 = e²{-2t}

Substituting these values into the general solution,

y(t) = c1e²{-2t} + c2e²{-t} = e²{-2t}

So α = β = 0 and k = -2. Finally,  the information that limt→∞y(t) = 7. Since y(t) = e²{-2t}, we have:

limt→∞e²{-2t} = 7

Taking the natural logarithm of both sides,

-2t = ln(7)Solving for t,

t = -0.5ln(7)

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Answer:

1: A: 0

2: B: x-intercept

3: A: 0 to 2

Step-by-step explanation:

I just did the assignment on EDGEN and it's 200% correct!

Also, heart and rate if you found this answer helpful! :) (P.S it makes me feel good to know I helped someone today:)  )

The answers that complete the statements are a) zero, b) x - intercept, c) 0 to 2 are the correct statements.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).

For the given situation,

A local business can be modeled as function q(x) = \(x^2 - 4x + 4\)

x is the price of the item in dollars and

q(x) is the number of items produced at that price.

The graph below shows the function q(x).

From the graph, there are zero items produced at a price of $2, because the x-intercept is at (2, 0).

The number of items produced decreases when the price increases from 0 to 2 dollars.

Hence we can conclude that the answers that complete the statements are a) zero, b) x - intercept, c) 0 to 2 are the correct statements.

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Answer: 10

Step-by-step explanation:

4(x+2)=48

4x+8=48

4x=40

x=10

Answer:

x=10

Step-by-step explanation:

4(x+2)=48

Divide each side by 4

4/4(x+2)=48/4

x+2 = 12

Subtract 2 from each side

x+2-2= 12-2

x = 10

The population of the town increased by 1450 from 2008 to 2012. The relative increase, expressed as a percentage, is approximately 43.94%.

To find the absolute increase, we subtract the initial population from the final population: 4750 - 3300 = 1450.

Therefore, the population of the town increased by 1450 individuals over the four-year period.

To calculate the relative increase as a percentage, we use the following formula:

Relative Increase (%) = (Absolute Increase / Initial Population) × 100

Substituting the values into the formula, we have:

Relative Increase (%) = (1450 / 3300) × 100 ≈ 43.94%

This means that the population of the town increased by approximately 43.94% from 2008 to 2012.

The relative increase gives us a measure of the percentage change in the population size.

In this case, the town experienced a significant population growth of 43.94% over the four-year period.

This information can be useful for understanding demographic trends, planning infrastructure, and making policy decisions to accommodate the increased population.

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The height of of the center support that is perpendicular to the ground is 63 feet.

From the question, we are to calculate the height of the center support shown in the diagram.

In the diagram,

The perpendicular height divides the triangle into two right triangles

Thus, we can determine the height of the center support by using the Pythagorean theorem.

From the Pythagorean theorem, we can write that

65² = h² + (1/2 × 32)²

4225 = h² + (16)²

4225 = h² + 256

h² = 4225 - 256

h² = 3969

h = √3969

h = 63 feet

Hence,

The height of of the center support is 63 feet.

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A rectangular pyramid is a composite shape which when divided into cross sections can be made up of a rectangle and a trapezoid.

Hence, option D is the correct answer

Answer:

y = -2x + 12

Step-by-step explanation:

Parallel = Same Slope         Perpendicular = Opposite Reciprocal of Slope

How to find "b" or y intercept:

y = mx + b       (3,6)        slope = m: -2

plug in the corresponding values for the variables

6 = -2(3) + b

12 = b

Answer:

A is the correct answer

Step-by-step explanation:

The equation of a hyperbola can be determined based on the given foci and the length of the transverse axis. Let's work through the problem step by step.

Given information:

Foci: (-13,2) and (-7,2)

Length of the transverse axis: 4√2

1. Determine the center of the hyperbola:

The center of the hyperbola is the midpoint between the foci. Using the midpoint formula, we find:

Center = ((-13 + -7)/2, (2 + 2)/2) = (-10, 2)

2. Determine the distance between the foci:

The distance between the foci is equal to 2a, where a is the distance from the center to either vertex on the transverse axis. In this case, the transverse axis has a length of 4√2, so a = (4√2)/2 = 2√2.

3. Determine the distance between the center and a vertex on the transverse axis:

Since a = 2√2, the distance between the center and a vertex on the transverse axis is a√2 = 2√2 * √2 = 4.

4. Determine the vertices:

The vertices are located on the transverse axis and are equidistant from the center. So, the vertices are (-10 ± 4, 2) = (-14, 2) and (-6, 2).

5. Determine the equation:

The general equation of a hyperbola with the center (h, k), transverse axis 2a, and distance c between the center and the foci is:

(x - h)²/a² - (y - k)²/b² = 1

Substituting the known values, we have:

(x + 10)²/8 - (y - 2)²/b² = 1

The equation of the hyperbola with foci at (-13,2) and (-7,2) and a transverse axis length of 4√2 is:

(x + 10)²/8 - (y - 2)²/b² = 1

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If the amount of negative numbers is odd the sign of the product is negative.

If the amount of negative numbers is even the sign of the product is positive.

Answer:

Waylon played 20 games

Step-by-step explanation:

Have a great summer :)

Answer:

20 games

Step-by-step explanation: