The price of a dress was
reduced from $60 to $45.
By what percentage was
the price of the dress
reduced?

The present value of $12,000 in 30 months, with a compound interest rate of 12%, is approximately $8,537.43, this is closest to option a) Therefore, the correct answer is option a).

To calculate the present value of $12,000 in 30 months at a compound interest rate of 12%, we can use the formula for present value:

PV = FV / (1 + r)ⁿ

Where:

PV = Present Value

FV = Future Value

r = Interest rate per period

n = Number of periods

Given:

FV = $12,000

r = 12% = 0.12

n = 30 months

Plugging these values into the formula, we get:

PV = \(12,000 / (1 + 0.12)^{(30/12)}\)

= \(12,000 / (1.12)^{(2.5)}\)

= 12,000 / 1.404928

≈ $8,537.43

Therefore, the present value of $12,000 in 30 months at a compound interest rate of 12% is approximately $8,537.43.

In Conclusion, Based on the calculation, the present value of $12,000 in 30 months, with a compound interest rate of 12%, is approximately $8,537.43, this is closest to option a) Therefore, the correct answer is option a).

This implies that if we were to discount the future value of $12,000 back to the present using a compound interest rate of 12% over 30 months, its equivalent value today would be approximately $8,537.43.

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Answer:

a

Step-by-step explanation:

Answer:

Answer A

Step-by-step explanation:

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The prediction of the value of the dependent variable outside the experimental region is called

extrapolation. So, the option(a) is right one.

A dependent variable is defined as the variable which is tested and measured in a scientific experiment. It is always depends on other variables. That's why it is called dependent variable and other variable is independent variable. Because it is a variable so it's value always change according to situation. So, there are two processes for predicting the values of dependent variable. These are defined as below :

Hence, the prediction of the value of the dependent variable outside the experimental region is known as extrapolation.

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The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

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Answer:

n the text mining process, the text is first preprocessed by deriving a smaller set of features from the larger set of words contained in a collection of documents.

Step-by-step explanation:

In the text mining process, one of the crucial ways is preprocessing the text data. This involves transforming the raw text into a more manageable and meaningful representation. One common technique in text preprocessing is to derive a smaller set of features from the larger set of words present in a collection of documents.

These features, often referred to as "tokens" or "terms," represent the distinct units of meaning in the text. The process typically includes steps such as tokenization, where the text is divided into individual words or n-grams, and then removing stop words, which are commonly occurring words that do not carry significant meaning.

Additionally, techniques like stemming or lemmatization may be applied to reduce words to their base or root forms. By deriving a smaller set of features, the preprocessing helps to simplify the text data, eliminate noise, and facilitate subsequent analysis tasks such as document clustering, topic modeling, sentiment analysis, or text classification.

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Answer:

a 17

Step-by-step explanation:

20 + 5 - 8

Answer:

(final - initial/initial ) * 100

66 - 55/55 * 100

11/55 * 100

100/5

= 20 percent

Answer:

\(\frac{1}{x^{5} }\)

Step-by-step explanation:

x^-12/ x^-7

= x^(-12-(-7))

= x^-5

= 1/x^5

The equation of the line through the points (0, 9) and (3, 0) is y = -3x + 9.

To find the equation of a line passing through two given points, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is one of the points on the line and m is the slope of the line.

First, we calculate the slope (m) using the formula: m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two given points. Substituting the values (0, 9) and (3, 0), we get m = (0 - 9)/(3 - 0) = -9/3 = -3.

Next, we choose one of the points, let's say (0, 9), and substitute its coordinates into the point-slope form: y - 9 = -3(x - 0).

Simplifying the equation, we get y - 9 = -3x, or rearranging it, y = -3x + 9.

Therefore, the equation of the line passing through the points (0, 9) and (3, 0) is y = -3x + 9.

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The Blu-ray movie will cost approximately $36.42 in 5 years with an inflation rate of 12% and continuous compounding.

To calculate the future cost of the Blu-ray movie in 5 years with an inflation rate of 12% and continuous compounding, we can use the formula for continuous compound interest:

A = P * e^(rt)

Where:

A = Future value

P = Present value

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time period in years

In this case, the present value (P) is $19.99, the inflation rate (r) is 12% or 0.12, and the time period (t) is 5 years. Substituting these values into the formula, we get:

A = 19.99 * e^(0.12 * 5)

Calculating the exponent first:

0.12 * 5 = 0.6

Then:

e^0.6 ≈ 1.82212

Finally:

A = 19.99 * 1.82212 ≈ 36.42

Using the formula for continuous compound interest, we calculated that a Blu-ray movie that costs $19.99 today will cost approximately $36.42 in 5 years, assuming an inflation rate of 12% and continuous compounding.

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Answer: A number is a perfect square only if it has a odd number

Step-by-step explanation:

As an example of the use of the prime factorization of an integer, we have the following result. Theorem. If n > 1 is a positive integer, then n is a perfect square if and only if n has an odd number of divisiors.

Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square that will be correct.

The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.

In another word, reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.

Given the first statement

20 is multiple of 3

Since 20/3 given remainder of 3 so it is not multiple.

So the first statement is wrong.

So if the question is saying this it means the question will consider all correct statements as wrong.

Now,

101 is a perfect square is wrong but the question will consider it correct.

Hence "Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square".

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The answer is 1.57! I hope this helps you!

Answer:

-3+6y = 9x

6y = 9x+3

y = 9/6x+3/6

y = 3/2x+1/2   ⇒ slope-intercept form

A) Current (I)= 4A and power dissipated is 24W

B) The energy delivers to the water in 350 sec is 2009.57 cal.

We have, Resistance of the resistor, R = 1.5 ohm

The voltage across the resistor, V = 6.00 V

Let the current in the resistor be 'I'

By using Ohms' Law

I = V/R ⇒ 6.00 V / 1.5 ohm ⇒ 4 A

Therefore, the current in the resistor is 4 A.

The power dissipated by the resistor,

P = I²R ⇒ (4 A)² × 1.5 ohm ⇒ 24 W

Therefore, the power dissipated by the resistor is 24 W.

B) The energy delivered to the water by the resistor can be calculated using the formula:

E = P × t,

Where P = Power of the resistor = 24 W

t = Time = 350 seconds

Therefore, the energy delivered to the water by the resistor is:

E = Pt ⇒ 24 W × 350 s ⇒ 8400 J

Now, convert it to calories:

1 calorie = 4.18 J

Therefore, Energy in calories = Energy in joules / 4.18

⇒ 8400 J / 4.18

⇒ 2009.57 cal

Hence, the energy delivered to the water in 350 seconds is 8400 J or 2009.57 cal.

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When the sample size is increased, the LCL comes closer to the process mean and the UCL moves farther from the process mean.Hence, (c) When a Type I error is made, the process will be declared out of control and adjusted when the process is actually in control.

(d) When a Type II error is made, the process will be declared in control and allowed to continue when the process is actually out of control. The probability of a Type I error for a sample of size 10 is 0.0027, for a sample of size 20 is 0.0014, and for a sample of size 30 is 0.0010. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type I error.

The advantage of increasing the sample size for control chart purposes is that the error probability is reduced as the

When the sample size is increased, the LCL comes closer to the process mean and the UCL moves farther from the process mean.The process will be declared out of control and adjusted when the process is actually in control.When a Type II error is made, the process will be declared in control and allowed to continue when the process is actually out of control.

The probability of a Type I error for a sample of size 10 is 0.0027, for a sample of size 20 is 0.0014, and for a sample of size 30 is 0.0010.The advantage of increasing the sample size for control chart purposes is that the error probability is reduced as the sample size is increased.

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Answer:

The given theorem proves that the door is not a rectangle right now since, the door came out of shape, it can be proved by the Pythagorean theorem. If the length is set to a certain shape, and the width is set to a certain shape, and drawn to diagonals. If solved by the Pythagorean Theorem, if the length of two diagonals are similar then and only then the door would be a rectangle.

Hope this helps!

Correct answer is parallelogram and rhombus.

A parallelogram is a geometric object with sides that are parallel to one another in two dimensions. It is a form of polygon with four sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length. A parallelogram has adjacent angles that add up to 180 degrees.

Rhombuses are a particular sort of quadrilateral in Euclidean geometry. It is a unique instance of a parallelogram in which the diagonals meet at a 90-degree angle and all sides are equal. This is a rhombus' fundamental characteristic. A rhombus has a diamond-shaped form. As a result, it is also known as a diamond.

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rectangle, rhombus

got it wrong on my test and was given the correct answers, so here they are.

To use the quadratic formula, we need to identify the values of a, b, and c.

1. In this case, the equation is 4x² - 3x - 8 = 0, so a = 4, b = -3, and c = -8.

2. x = (-b ±√(b² - 4ac))/2a.

3.  x = (3 ±√137)/8.

The Quadratic Formula is a mathematical equation used to solve second-degree equations.

To use the quadratic formula, we need to identify the values of a, b, and c in the equation ax² + bx + c = 0.

In this case, the equation is

4x² - 3x - 8 = 0,

so a = 4, b = -3, and c = -8.

Once the values of a, b, and c are known, we can substitute them into the Quadratic Formula:

x = (-b ±√(b² - 4ac))/2a.

In this equation, a = 4, b = -3, and c = -8, so the equation becomes

x = (-(-3) ±√((-3)² - 4(4)(-8)))/2(4).

Simplifying, we get x = (3 ±√(9 + 128))/8.

Finally, solving for x yields x = (3 ±√137)/8.

Therefore, the solution to the equation is

x = (3 ±√137)/8.

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Answer:  2.25

Step-by-step explanation:

3x - 4 = 5 - x

+x             +x

4x - 4 = 5

    +4     +4

     4x = 9

       x = 9/4

       x = 2.25

Answer:

Step-by-step explanation:

3x - 4 = 5 - x

4x = 5 + 4

4x = 9

x = 9 : 4

x = 2.25

--------------------------

check

3 *  2.25 - 4 = 5 - 2.25

6.75 - 4 = 2.75

2.75 = 2.75

the answer is good

Answer:

Step-by-step explanation:

I honestly am not sure, but I think it's 93,750

Answer:D

Step-by-step explanation:

It’s D

If five customers are randomly selected from each group, a sampling method which this would represent is: C) Stratified.

In Mathematics and Statistics, there are different types of sampling methods that are used by researchers and these include the following;

In Mathematics, stratified sampling can be defined as a type of sampling method in which the population is divided into distinct classes and a sample is randomly selected from each class for survey.

In this context, we can logically deduce that stratified sampling was used by this insurance company.

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Complete Question:

An insurance company wants to conduct a customer satisfaction survey. Because the company suspects the type of coverage might influence customers' opinions, it divides the list of customers based on what type of insurance they have (auto, homeowner, rental, life, disability, or a combination of these). If five customers are randomly selected from each group, what sampling method would this represent?

A) Simple Random Sample (SRS)

B) Systematic

C) Stratified

D) Cluster

Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

Answer:

9%

Step-by-step explanation:

67 + 24 = 91%

100- 91 = 9%

This means they lost 9% of their games.

The requried football team lost 9% of their matches.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Since the football team won 67% of their matches and drew 24% of them, the percentage of matches they lost can be found by subtracting the percentage of matches they won and the percentage of matches they drew from 100%:

Percentage of matches lost = 100% - 67% - 24%

Percentage of matches lost = 9%

Therefore, the football team lost 9% of their matches.

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Answer:

4900m²

Step-by-step explanation:

Area of rectangular plot = lxb

=100x90

=9000m²

Area of beans = lxb

=40x80

=3200m²

Area of sukumawiki = lxb

=30x30

=900m²

Area of maize = Total area - Area of beans - Area of sukumawiki

=9000-3200-900

=4900m²

The extent to which the researcher can refer that findings with a sample from which it was drawn is referred to as generalizability.

Generalizability refers to the ability to extrapolate study findings from a sample to the entire population. It also refers to the capacity to apply findings from one study to a similar environment in a different investigation.

Generalizability and transferability are two research traits that are related. When considering generalizability in research, there are two features or dimensions to consider: generalizability as it relates to the specific population on which the research is conducted, and generalizability on a global scale.

Such studies will be easier to generalize if the researcher uses adequate sampling approaches, sample sizes, and exact processes.

In general, a study has strong generalizability when the findings apply to a wide range of persons or situations. The study has weak generalizability if the results can only be applied to a subset of the population or in a very specific circumstance.

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\(x = 0.45d + 4\)

Answer:

closest to the whole number 1

Step-by-step explanation:

hope this helps :)

The researcher in question has performed a meta-analysis. A meta-analysis is a statistical method used to synthesize the findings from multiple studies that have investigated a similar research question using the same variables and measurement strategies. In this case, the researcher is interested in examining the relationship between exercise and myasthenia gravis.

The process of conducting a meta-analysis involves several steps. First, the researcher identifies and selects relevant studies that meet specific criteria, such as using the same dependent and independent variables (in this case, exercise and myasthenia gravis). In this scenario, 28 studies were identified that meet these requirements.
Next, the researcher extracts the relevant data from each study, such as effect sizes, sample sizes, and other important information. This allows the researcher to compare and combine the results of the individual studies into a single, comprehensive statistical analysis.

In summary, the researcher has conducted a meta-analysis to synthesize the results from 28 studies examining the relationship between exercise and myasthenia gravis, allowing for a more comprehensive understanding of the topic.

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