How much would $500 invested at 6% interest compounded monthly be
worth after 5 years? Round your answer to the nearest cent.
int
A09) P(124
A. $512.63
B. $669.11
C. $674.43
D. $886.41

Answers

Answer 1

Answer:

$669

Step-by-step explanation:

Given data

Principal= $500

Rate= 6%

Time= 5 years

The compound interest formula is given as

A= P(1+r)^t

A=500(1+0.06)^5

A=500(1.06)^5

A=500*1.338

A=$669


Related Questions

what is the value of the following expression? true && !false

Answers

The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.

1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".

2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".

Therefore, the value of the expression "true && !false" is "true".

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The mean number of years Americans work before retiring is 34. Which of the following will be a Type I error? (A) We conclude that the mean is 34 years when it really is not 34 years. (B) We conclude that the mean is 34 years when it really is 34 years. (C) We conclude that the mean is not 34 years when it really is 34 years. (D) We conclude that the mean is not 34 years when it really is not 34 years.

Answers

Type I error is We conclude that the mean is not 34 years when it really is 34 years. The correct option to this question is C.

Rejecting the null hypothesis when it is in fact true is a Type I mistake. It entails drawing conclusions about outcomes that are statistically significant when, in fact, they were just the consequence of chance or unrelated causes.

The significance level you select (alpha or ) determines the likelihood that you will make this mistake. You determined that figure at the start of your research to determine the statistical likelihood of getting your results (p-value).

The typical significance level is 0.05 or 5%. If the null hypothesis is accurate, your results only have a 5% chance or less of occurring.

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what is the difference to the nearest hundredth of a unit between the two zeros

Answers

Answer:

0.1

Step-by-step explanation:

hwhhehhejejeejjrjr

jeff and chad decide to flip a coin 3 times to see who pays for lunch. chad picks heads and he must get heads at least twice out of 3 flips to win and have jeff pay for his lunch. what is the probability chad gets at least 2 heads on 3 flips?

Answers

The probability that chad gets at least 2 heads on 3 flips is 1/2 which was found using the sample space.

How does probability explain work?Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Given: To decide who will pay for lunch, Jeff and Chad decide to flip a coin three times. Chad chooses heads, and in order to win and have Jeff pay for his lunch, he must get heads at least twice out of three times.

Let,

H = Heads

T = Tails

Sample space =  {HHH, HTH,THH,TTH, HHT, HTT,THT,TTT​}

Total number of possible outcomes = 8

Probability that chad gets at least 2 heads is given as:

P(A)=P(getting two heads)+P(getting 3 heads)

= 3/8 + 1/8

= 4/8

= 1/2

Therefore,  the probability chad gets at least 2 heads on 3 flips is 1/2 which was found using the sample space.

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what is the slope of the line shown below. ​

what is the slope of the line shown below.

Answers

Answer:

Slope = Rise/Run

y = -3/5x - 5

Slope is -3/5

Step-by-step explanation:

Identify a product/service that is currently in the decline stage. Use the Product Lifecycle Concept to explain why you believe the product/service is at that stage .
Describe the strategic options for companies that are competing in a declining market. Provide specific examples too illustrate what these strategic options entail and how they differ .

Answers

One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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The dimension of the row space of a 3 x 3 matrix A is 2. (a) What is the dimension of the column space of A? (b) What is the rank of A? (c) What is the nullity of A? (d) What is the dimension of the solution space of the homogeneous system Ax = 0?

Answers

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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What's the definition of a ratio

Answers

Answer:

the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Step-by-step explanation:

A ratio would be aa ordered pair of numbers a and b Example: 2:3

ABCD~EFGH similar polygons​

ABCD~EFGH similar polygons

Answers

Answer:

3

Step-by-step explanation:

Solve the system state whether the graphs are intersecting, conciding, or parallel. Then classify the system as independent consistent(IC), dependant consistent(DC), or inconsistent(I).

Solve the system state whether the graphs are intersecting, conciding, or parallel. Then classify the

Answers

We have the following system of equations:

\(\begin{gathered} 5x+2y=6 \\ 10x+4y=12 \end{gathered}\)

If we multiply the first equation by 2, we have an equivalent system of equations:

\(\begin{gathered} 10x+4y=12 \\ 10x+4y=12 \end{gathered}\)

but the equations are the same. This means that the graphs coincide. This also means that the system of equations is dependant consistent. These kind of systems have an infinite number of solutions

Which mathematical term describes both 19x and 4x in the expression 19x+4x?
A) coefficient
B) difference
C) sum
D) term

Answers

Answer:

The answers is coefficient

Step-by-step explanation:

they both have a variable attached which makes them both coefficients

Solve for unknown variable

Solve for unknown variable

Answers

Answer:
The answer is D (y=-12).

what is the matrix structure? what are the three conditions which usually exist when the matrix structure is found?.

Answers

The matrix structure is an organizational design that combines functional and divisional reporting lines within the same company. The three conditions which usually exist when the matrix structure is found are multiple projects, interdependency, and a skilled workforce.

This structure facilitates better coordination and communication, allowing organizations to more effectively manage complex and diverse projects.
There are three conditions that usually exist when the matrix structure is found:
1. Multiple Projects: Matrix structures are often used in organizations that manage multiple projects or products simultaneously. These organizations need to allocate resources and personnel efficiently, and the matrix structure enables them to do so by allowing employees to work on various projects while still maintaining their functional roles.
2. Interdependency: In a matrix structure, there is a high level of interdependency among different departments and project teams. This interdependency promotes collaboration and communication, enabling the organization to respond more quickly to changing market conditions and customer needs.
3. Skilled Workforce: Organizations employing a matrix structure usually require a skilled and diverse workforce. These employees must be able to adapt to new challenges, work in cross-functional teams, and possess strong problem-solving skills. The matrix structure allows organizations to leverage the expertise of their workforce by assigning employees to projects based on their unique skill sets.
In conclusion, the matrix structure is an organizational design that combines functional and divisional reporting lines, enabling organizations to manage complex projects more effectively. This structure is typically found in organizations with multiple projects, a high level of interdependency, and a skilled workforce.

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A circular running track is 1/4 mile long. Elena runs on this track, completing each lap in 1/5 of an hour. What is Elena's running speed?

Answers

Answer: 1.25 mph

Step-by-step explanation:

.25 miles per 1/5 hour = .25 miles per 12m

12m x 5 = 60m = 1 hour

.25 x 5 = 1.25 miles

So, 1.25 miles per one hour = 1.25mph

The recipe of a certain type of rice calls for 2:3 ratio to water . If you need to make 5 cups of rice , how much water should you use ?

Answers

Answer:

7 and 1/2 cups of water.

Step-by-step explanation:

Every 2 cups of rice, you need three cups of water. You make this equation, \(\frac{2}{3} \frac{5}{y}\) and do cross multiplication to get 2y=15, divide that by two and end up with 7 1/2 cups of water.

Which point on the number line represents the product (5)(-2)(-1)?ABСD-11 -10 -93 -7 -6 -5 4 -3 -2 -1012345 6 7 8 9 10 11Point AO Point BO Point CPoint D

Answers

In order to determine which point represent the given expression (5)(-2)(-1), you first calculate the result of such operation:

(5)(-2)(-1) = 10

Then, the point is 10:

The red circle is the required point.

Which point on the number line represents the product (5)(-2)(-1)?ABD-11 -10 -93 -7 -6 -5 4 -3 -2 -1012345

Help me on this please.

Help me on this please.

Answers

Answer: Choice A)

Approximately 0.4 units or about 24 miles approximately

=========================================================

Explanation:

B = Santa Barbara's location

C = Santa Cruz Island's location

Point B is located at (34.4, 119.714)

Point C is located at (34, 119.726)

Use the distance formula to find the distance from B to C

\(d = \sqrt{ (x_1-x_2)^2 + (y_1-y_2)^2}\\\\d = \sqrt{ (34.4-34)^2 + (119.714-119.726)^2}\\\\d = \sqrt{0.160144 }\\\\d \approx 0.40017995951821\\\\d \approx 0.4\\\\\)

Unfortunately, there isn't enough info to be able to go from 0.4 units to roughly 24 miles, so I don't know how your teacher is doing that step. But luckily, only choice A mentions 0.4, so this has to be the answer.

What does
-$10 +$8 +$5 -$4
=

Answers

Answer:

It would equal 19 dollars

Step-by-step explanation:

(a)A line through (2,1) meets the curve x²-2x-y=3at A (-2,5)and at B. Find the coordinates of B
(b) A(3,1) lies on the curve (x-1)(y+1)=4. A line through A perpendicular to x+2y=7 meets the curve again at B. Find the coordinates of B.

Answers

(a) To find the coordinates of point B, we need to first find the equation of the line passing through point A(-2,5) and point (2,1).

The slope of the line passing through these two points is:

m = (y2 - y1) / (x2 - x1) = (1 - 5) / (2 - (-2)) = -4/4 = -1

Using the point-slope form of the equation of a line, the equation of the line passing through A and (2,1) is:

y - 5 = -1(x + 2)

y - 5 = -x - 2

y = -x + 3

To find the coordinates of point B, we need to solve the system of equations formed by the equation of the line and the equation of the curve:

x² - 2x - y = 3
y = -x + 3

Substituting the second equation into the first, we get:

x² - 2x - (-x + 3) = 3

x² - x - 6 = 0

Solving for x using the quadratic formula, we get:

x = (1 ± √(1 + 24)) / 2 = 3 or -2

When x = 3, y = -x + 3 = 0, which means that point B is (3,0).

When x = -2, y = -x + 3 = 5, which means that point B is (-2,5).

Therefore, the coordinates of point B are (3,0) and (-2,5).

(b) We know that point A (3,1) lies on the curve (x-1)(y+1)=4.

Substituting x=3 and y=1 into this equation, we get:

(3-1)(1+1) = 4

4 = 4

Therefore, point A satisfies the equation of the curve.

We need to find the equation of the line passing through point A that is perpendicular to the line x+2y=7.

The slope of the line x+2y=7 is:

m = -1/2

The slope of a line perpendicular to this line is the negative reciprocal, which is:

m' = 2

Using the point-slope form of the equation of a line, the equation of the line passing through A(3,1) with slope 2 is:

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y = 2x - 5

To find the coordinates of point B, we need to solve the system of equations formed by the equation of the line and the equation of the curve:

(x-1)(y+1) = 4
y = 2x - 5

Substituting the second equation into the first, we get:

(x-1)(2x-4) = 4

2x³ - 6x² + 4x - 5 = 0

We can use numerical methods to solve this cubic equation to get the value of x, and then substitute it back into the equation y = 2x - 5 to get the value of y. One possible solution is:

x ≈ 2.632
y ≈ -0.736

Therefore, the coordinates of point B are approximately (2.632, -0.736).

Celine surveyed 14 students at her school about their favorite professional sports. Of the students surveyed, 6 said tennis was their favorite sport. What is the experimental probability that the next student Celine talks to will pick tennis?

Answers

Answer:

3/7 (simplified)

Step-by-step explanation:

The original answer would be 6/14 because 6 out of 14 people said tennis. However, you divide both by 2 to get 3/7. The percent would be 42% if that is needed.

HELLO! HOW ARE THEY? I HOPE PERFECT. : D

(I JUST NEED THE WASTE)

0.075÷345

1.2÷1422

2.5÷5..

0.3÷4355..

0.34÷85..
------------------------------------------------------------------------------------

( The points that appear next to some dividends are numbers that have yet to be entered. In general it is 0)

(Please don't answer like crazy, ... PLEASE.​

Answers

Answer:

00.75

Step-by-step explanation:

00.75 is the answer

Paige works at a department store and has a commission rate of 3 percent. Her sales for the quarter were $4,596. If she earns $50 per day and she worked 30 days in the quarter, what is the total amount she earned?
$137.88
$450.00
$1,500.00
$1,637.88

Answers

it would be answer choice D because 3% of 4,596 is 137.58, that’s her commission. and if she work 30 days for 50 dallars a day than that would be 1500. if you add those together you would get 1,637.58 and it’s close enough to 1637.88 so the answer should be D.

Answer:

D. $1,637.88

Step-by-step explanation:

On Edge2020


\(cos(21) = \frac{4}{x} \)
Please help! brainliest to first correct answer!​

[tex]cos(21) = \frac{4}{x} [/tex]Please help! brainliest to first correct answer!

Answers

The answer is X= 7.3

Fred and Wilma purchase a new home for $180,000. The value of the home increases by 4% every 3 years. Determine the value of the home after 16 years.
After 16 years, the home is worth $____ . Round your answer to the nearest cent.

Answers

Answer:

\(180000 ({1.04}^{ \frac{16}{3} } ) = 221879.40\)

After 16 years, the home is worth $221,879.40.

After 16 years, the value of the home will be $306,506.63. This is the amount that Fred and Wilma can expect to receive if they sell their home after 16 years of ownership.

The increase in the value of the home is due to the compounding effect of the 4% increase every 3 years. After the first 3 years, the home's value will increase to $187,200.

This becomes the new base value for the next 3-year period, and after 6 years, the value of the home will be $196,032. The process repeats every 3 years until the 16-year mark, resulting in a final value of $306,506.63. It's important to note that this calculation assumes a constant rate of increase, and that actual market conditions may result in a different rate of appreciation.

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graph a parabola whose vertex is at (3, 5) with y-intercept at y= 1

Answers

Step-by-step explanation:

Substituting into vertex form, the equation is:

y = a(x-3)^2 + 5

The y-intercept is when x=0, so substituting this in,

1=a(0-3)^2 + 5

-4 = 9a

a=-4/9

graph a parabola whose vertex is at (3, 5) with y-intercept at y= 1

About 6% of employed adults in the United States held multiple jobs. A random sample of 63 employed adults is chosen. Use the TI-84 Plus calculator as needed. (a) Is it appropriate to use the normal approximation to find the probability that less than 6.3% of the individuals in the sample hold multiple jobs? If so, find the probability. If not, explain why not.

Answers

No, it is not appropriate to use the normal approximation in this case.

To determine if it is appropriate to use the normal approximation, we need to check if the conditions for applying the normal distribution are satisfied. In this case, we are interested in the proportion of employed adults who hold multiple jobs.

The conditions for using the normal approximation for proportions are as follows:

1. Random Sample: The sample should be a random sample or a randomized experiment. In this case, it is mentioned that a random sample of 63 employed adults is chosen. This condition is satisfied.

2. Independence: The individuals in the sample should be independent of each other. If the sample size is no more than 10% of the population, this condition is generally satisfied. Since the population size is not provided, we assume it is large enough for the independence condition to hold.

3. Success/Failure: The sample size should be large enough so that there are at least 10 successes and 10 failures in the sample. This ensures that the distribution of the sample proportion is approximately normal. We need to check if np ≥ 10 and n(1-p) ≥ 10, where n is the sample size and p is the proportion of interest.

Given that the proportion of employed adults holding multiple jobs is 6%, we have p = 0.06. Checking the success/failure condition:

np = 63 * 0.06 = 3.78

n(1-p) = 63 * (1 - 0.06) = 59.22

Since np < 10 and n(1-p) < 10, the success/failure condition is not satisfied. Therefore, it is not appropriate to use the normal approximation in this case.

Instead, we should use the binomial distribution to find the probability. The binomial distribution directly models the probability of having a certain number of successes in a fixed number of trials (in this case, the proportion of employed adults holding multiple jobs in a sample).

Unfortunately, we cannot calculate the probability for "less than 6.3% of the individuals in the sample hold multiple jobs" directly, as the sample proportion is discrete. We can, however, find the probability of having 0, 1, 2, 3, etc., individuals holding multiple jobs, and then sum those probabilities up to find the probability of having less than 6.3%.

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Read the following statements:
I. The correlation coefficient "r" measures the linear association between two variables X and Y.
II. A coefficient of determination with a value of r2 equal to +1 implies a perfect linear relationship with a positive slope, while a value of r2 equal to –1 results in a perfect linear relationship with a negative slope.
III. A correlation coefficient value close to zero will result from data showing a strictly random effect, implying that there is little or no causal relationship.
They are true:
Select one:
a. solo III
b. I and III
c. None
d. II and III
e. All

Answers

The given statement is as follows:I. The correlation coefficient "r" measures the linear association between two variables X and Y.II.

A coefficient of determination with a value of r2 equal to +1 implies a perfect linear relationship with a positive slope, while a value of r2 equal to –1 results in a perfect linear relationship with a negative slope.III. A correlation coefficient value close to zero will result from data showing a strictly random effect, implying that there is little or no causal relationship.The true statement among the given statement is:I and IIIExplanation:Correlation Coefficient: Correlation coefficient is a statistical measure that reflects the correlation between two variables X and Y. It is also known as Pearson’s Correlation Coefficient.It indicates both the strength and direction of the relationship between two variables.

Correlation coefficient ranges between -1 and +1.The closer the correlation coefficient is to 1, the stronger is the correlation between the two variables. Similarly, the closer the correlation coefficient is to -1, the stronger is the inverse correlation between the two variables.If the correlation coefficient is close to zero, it implies that there is little or no causal relationship.Coefficient of determination: The coefficient of determination, also known as R-squared, explains the proportion of variance in the dependent variable that is predictable from the independent variable. R2 is a statistical measure that measures the proportion of the total variation in Y that is explained by the total variation in X. The value of R2 varies between 0 and 1.If the value of R2 is 1, it indicates that all the data points lie on a straight line with a positive slope.

This implies a perfect linear relationship with a positive slope. Similarly, if the value of R2 is -1, it indicates that all the data points lie on a straight line with a negative slope. This implies a perfect linear relationship with a negative slope. Thus, the correct answer is (b) I and III.

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The Gaussian elimination rules are the same as the rules for the three basic row operations, in other words, you can algebraically act on a matrix's rows in the following three ways:
Interchanging two rows, for example, R2 ↔ R3
Multiplying a row by a constant, for example, R1 → kR1 where k is some nonzero number
Adding a row to another row, for example, R2 → R2 + 3R1

Answers

Yes, that is correct. The Gaussian elimination rules are essentially the same as the three basic row operations, which allow you to algebraically manipulate a matrix's rows.

You can interchange two rows, multiply a row by a constant, or add a row to another row. These rules are essential in solving systems of linear equations and finding the reduced row echelon form of a matrix. By applying these rules, you can transform a matrix into an equivalent matrix that is easier to work with and reveals important information about the system of equations or the matrix itself. The Gaussian elimination rules, also known as the three basic row operations, allow you to algebraically manipulate a matrix in order to solve systems of linear equations. These operations include:
1. Interchanging two rows (R2 ↔ R3)
2. Multiplying a row by a nonzero number (R1 → kR1, where k is a constant)
3. Adding a row to another row (R2 → R2 + 3R1)
These rules help simplify the matrix and ultimately obtain the unique solution for the system of equations.

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Match each condition to the number of triangles that can be constructed to fit the condition. condition A: one side measuring 4 inches, another side measuring 8 inches, and a third side measuring 10 inches condition B: one angle measuring 60°, another angle measuring 40°, and a third angle measuring 90° condition C: one side measuring 4 inches, another side measuring 8 inches, and the angle between them measuring 70° condition D: one side measuring 5 inches, another side measuring 7 inches, and a third side measuring 12 inches condition E: one angle measuring 30°, another angle measuring 80°, and the length of the included side measuring 8 inches condition F: one angle measuring 40°, another angle measuring 80°, and a third angle measuring 60°

Answers

Answer:

I think the guy above me means:

No Triangles:  A, C

One Triangle:  D, F

Many Triangles:  B, E  

Step-by-step explanation:

¯\_(ツ)_/¯

The no triangle possible: B and D, one triangle possible : A, C, and E, and many triangles: F.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

Checking for the A)

4 + 8 > 10

There is one triangle possible.

For B)

60 + 40 + 90 = 190 ≠ 180 degree

No triangle possible because the sum of the angles in triangle is 180 degree.

For C)

There are two sides are given and one angle so SAS

One triangle is possible.

For D)

7 + 5 = 12

There is no triangle possible because the sum of the two sides is equal to the third side.

For E)

By the rule of ASA one triangle is possible.

For F)

60 + 80 + 40 = 180 degree

There are three angles are given, but no sides are given, so many triangles are possible.

Thus, the no triangle possible: B and D, one triangle possible : A, C, and E, and many triangles: F.

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1.8- (3.7)=


-2/4 + 6/8=


-8.7 + 14.9=


3/4- (-1/8) =


( please do all the problems and don’t just show the answer also show how it was solved and explain it please!!!)

Answers

Answer:

1.4.3

2.0.25

3.6.2

4.0.875

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