Help me with this problem

The total amount that would be found in the account after 4 years, would be $ 641. 69

The total amount after 4 years in Arik's account can be found by the formula :

= A = Amount invested x ( 1 + r /n )ⁿ

The variables are:

Amount invested = $ 500

r = 6.25% = 0. 0625

n = 12

t = 4 years

The total amount is then :

A = 500 x ( 1 + 0. 0625 / 12 ) ^ ⁽¹² ˣ ⁴ ⁾

A = $ 641. 69

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The required, it will cost Alejandro $75,808 to attend the independent university for four years.

The cost of tuition for Alejandro's independent university is $23,044 per year. Therefore, the total cost of tuition for four years will be:

4 years * $23,044 per year = $92,176

The additional cost of housing for four years will be:

4 years * $6,850 per year = $27,400

The cost of books for four years will be:

8 semesters * $290 per semester = $2,320

Alejandro receives a swimming scholarship that covers half of his yearly tuition, which means he pays the other half himself. Therefore, the total cost of tuition that Alejandro will have to pay each year will be:

($23,044 per year) / 2 = $11,522 per year

So, the total cost of tuition that Alejandro will have to pay for four years will be:

($11,522 per year) * 4 years = $46,088

Therefore, the total cost for Alejandro to attend the university for four years will be:

Total cost = $46,088 + $27,400 + $2,320

Total cost = $75,808

Therefore, it will cost Alejandro $75,808 to attend the independent university for four years.

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These data are considered to be descriptive statistics.

The given data, which includes the mean, median, mode, and range, are examples of descriptive statistics. Descriptive statistics are used to summarize and describe data in a meaningful way.

The mean is the average value of the data, the median is the middle value when the data is sorted in order, the mode is the most frequent value in the data.

The range is the difference between the largest and smallest values in the data. These measures provide valuable information about the central tendency and variability of the data.

Descriptive statistics are essential for understanding and interpreting data, and they are commonly used in fields such as social sciences, business, and engineering.

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The factorization of 2x² + 7x + 6 is (2x + 3)(x + 2).

Find two numbers that multiply to give you 2*6=12 and add up to 7. These numbers are 3 and 4.

Rewrite 7x as 3x + 4x, using the numbers found in step 1:

2x² + 3x + 4x + 6

Factor the first two terms and the last two terms separately:

x(2x + 3) + 2(2x + 3)

Notice that you now have a common factor of (2x + 3) in both terms. Factor it out:

(2x + 3)(x + 2)

The final factorization is (2x + 3)(x + 2).

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Answer:

$0.41

Step-by-step explanation:

dozen means 12.

simply divide $4.92 by 12.

PLEASE MARK ME AS BRAINLIEST !!!

$0.41

As the spacing between joists increases, the maximum span for any board size will B. decrease only. This is because the wider the spacing between joists, the more weight and pressure will be placed on the boards that are spanning the gap between them.

This means that the boards will need to be stronger in order to support the weight without bending or breaking.
If the boards are not strong enough, they may sag or bow under the weight, which can create safety hazards or damage to the structure. Therefore, it is important to use the appropriate board size and spacing between joists for any given application in order to ensure structural integrity and safety.
In summary, increasing the spacing between joists will result in a decrease in the maximum span for any board size, as the boards will need to be stronger in order to support the weight and pressure. It is important to choose the right board size and joist spacing to maintain the structural integrity and safety of the building or structure.

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XYZ corporation can expect to have 1000 defective widgets out of the 100,000 widgets produced.

If 1% of the widgets produced by XYZ corporation are defective, then the expected number of defective widgets in a sample of 100,000 widgets can be calculated as follows:

Expected number of defective widgets = 1% x 100,000 = 0.01 x 100,000 = 1000

Therefore, XYZ corporation can expect to have 1000 defective widgets out of the 100,000 widgets produced. However, it is important to note that this is just an expected value, and the actual number of defective widgets may vary from this value due to random variation.

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Answer: 1 + 1 = 2

Step-by-step explanation:

Answer:

Step-by-step explanation: Technically 1 + 1 equals 2 but, if someone wants to be a smart Alec about it, then answer would be 11 if you remove the plus sign and push the two numbers together. :)

Answers: 2 or 11

The statement is TRUE. When working with a given sample size, the chances of making a Type I error (rejecting a true null hypothesis) can only be reduced by increasing the significance level (alpha), which increases the probability of committing a Type II error (failing to reject a false null hypothesis). These two types of errors are inversely related, meaning that reducing one increases the likelihood of the other.

In hypothesis testing, a Type I error occurs when a null hypothesis is rejected even though it is true. Type II error occurs when a null hypothesis is not rejected even though it is false.

The chances of Type I error and Type II error are inversely related, meaning that when the chances of Type I error decrease, the chances of Type II error increase, and vice versa.

This is because the significance level used in the hypothesis testing determines the trade-off between Type I and Type II errors. As the significance level becomes more stringent, the chances of Type I error decrease, but the chances of Type II error increase.

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The given statement "A group of normal distributions can have equal arithmetic means but different standard deviations" is True  because the mean and standard deviation are two separate parameters that describe different characteristics of a normal distribution.

The mean is the measure of central tendency and represents the location of the peak of the distribution, while the standard deviation is a measure of the spread of the distribution.

Therefore, it is possible for multiple normal distributions to have the same mean, but different standard deviations. For example, consider two normal distributions with means of 50 and standard deviations of 10 and 20, respectively.

Both distributions have the same mean of 50, but different standard deviations, indicating that one distribution has a tighter cluster of data around the mean, while the other is more spread out.

Therefore, it is important to consider both the mean and standard deviation when analyzing and comparing normal distributions.

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Answer:

Okay, let's calculate the percent increase in Seattle's population between 2000 and 2015:

In 2000, the population of Seattle was 3,043,878

In 2015, the population of Seattle was 3,733,580

So the total population increase from 2000 to 2015 was:

3,733,580 - 3,043,878 = 689,702

To calculate the percent increase, we divide the total increase by the 2000 population:

689,702 / 3,043,878 = 0.2266

Converting to a percent:

0.2266 = 22.66%

Therefore, the percent increased in the population of Seattle between 2000 and 2015 rounded to the nearest hundredth is 22.66%

The closest choice is B

22.66%

Let's break down the other options to show why they are incorrect:

A - 18.47% : This is too low. The actual increase was over 22%.

C - 80.53% : This is too high. The population increased by 22% not over 80%.

D - 122.66% : This is way too high. The population more than doubled, increasing only by around 22%.

In summary, the Seattle population increased by 22.66% from 2000 to 2015. Choice B is the correct option.

Step-by-step explanation:

The value of radicals are

1. 4√6 / √16= √6

2. 4√15 / √20= 2√3

3. √4/√5 = 2/√5

1. 4√6 / √16

We know that the value of √16 = 4

So, 4√6 / √16

= 4√6 / 4

= √6

2. 4√15 / √20

We can write √20 = 2√5

So, 4√15 / √20

= 4√15 / 2√5

= 2 √5 x √3/ √5

= 2√3

3. √4/√5

= 2/√5

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The value of the function sin 460 degrees is 0.98480775301

From the question, we have the following parameters that can be used in our computation:

The value of the function sin 460 degrees

This can be calculated using a calculator

Using a calculator, we have the following result

sin 460 degrees = 0.98480775301

Hence, the value of sin 460 degrees is 0.98480775301

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An approximation that is closest to the volume, in cubic centimeters, of the cone is: B. 340.

In Mathematics and Geometry, the distance between two (2) points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given points into the distance formula, we have the following;

Distance = √[(10 + 2)² + (-4 - 1)²]

Distance = √[(12)² + (-5)²]

Distance = √[144 + 25]

Distance = √169

Distance = 13 units.

Volume of cone, V = 1/3 × πr² × h

Volume of cone, V = 1/3 × 3.142 × 5² × 13

Volume of cone, V = 340.38 ≈ 340 cm³

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One of the given options, it is closest to option D (0.984) To find the net change in velocity from time t=0.75 to t=2.25 for an object moving in a straight line with acceleration given by a(t) = sin(t), we need to integrate the acceleration function with respect to time.

First, integrate a(t) = sin(t) with respect to t:

∫(sin(t) dt) = -cos(t) + C, where C is the constant of integration.

To find the net change in velocity, we will evaluate the integral at t=2.25 and t=0.75, and then subtract the values:

Net change in velocity = (-cos(2.25) + C) - (-cos(0.75) + C)

Since the constant of integration cancels out, the net change in velocity is:

Net change in velocity = -cos(2.25) + cos(0.75)

Using a calculator to find the cosine values:

Net change in velocity ≈ -(-0.628) + 0.259 ≈ 0.887

While this answer isn't exactly one of the given options, it is closest to option D (0.984). It is possible that there is a slight discrepancy in the calculations or a typo in the options.

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The probability that Alice can be expected to win 5 games out of 7 games.

Based on the given information, Alice wins 70% of the time when she plays chess with Bob.

This means that out of every 10 games played, Alice wins 7 and Bob wins 3. Now, if Alice and Bob play 7 games of chess, we can expect Alice to win 70% of those games.
To calculate the exact number of games that Alice can be expected to win, we can use the following formula:
Expected number of wins = (Total number of games played) x (Probability of winning)
In this case, the total number of games played is 7 and the probability of Alice winning is 70% or 0.7. So, we can plug in these values into the formula and get:
Expected number of wins = 7 x 0.7
Expected number of wins = 4.9
This means that we can expect Alice to win around 5 games out of the 7 games played.

Of course, this is just an estimate and there is no guarantee that Alice will actually win exactly 5 games.

However, based on her historical winning rate, it is reasonable to assume that she will win the majority of the games played.
It is also important to note that probabilities are not guarantees and there is always a chance that the outcome may be different.

Bob could potentially win more games than usual or Alice could have an off day and win fewer games.

However, over a large number of games, the probability of Alice winning 70% of the time should hold true.

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The equation of the line of fit is y = 10x + 50. The correct option is C.

The equation of the line of fit can be determined by finding the slope and y-intercept of the line. We can use the two given points on the line, (0,50) and (2,70), to calculate the slope:

slope = (change in y) / (change in x) = (70 - 50) / (2 - 0) = 20 / 2 = 10

Now that we know the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y₁ = m(x - x₁)

Using the point (0,50) and the slope m = 10, we get:

y - 50 = 10(x - 0)

Simplifying, we get:

y = 10x + 50

Therefore, the equation of the line of fit is y = 10x + 50.

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281 ÷ 13, expressed using the floor notation, is equal to ⌊281/13⌋ = ⌊273/13⌋ = 21.

The operation 281 ÷ 13 represents the quotient obtained when dividing 281 by 13. To express this using the floor notation, we can use the following formula:

⌊a/b⌋ = (a - (a mod b)) / b

Using this formula, we have:

⌊281/13⌋ = (281 - (281 mod 13)) / 13

⌊281/13⌋ = (281 - 8) / 13

⌊281/13⌋ = 273 / 13

Since the floor notation rounds down to the nearest integer, we have:

⌊281/13⌋ = ⌊273/13⌋ = 21

Therefore, 281 ÷ 13, expressed using the floor notation, is equal to ⌊281/13⌋ = ⌊273/13⌋ = 21. This means that when 281 is divided by 13, the quotient is 21 and the remainder is 8.

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If 16 tickets cost $82, adult tickets cost $6, and students ticket cost $5, the number of adults and students who attend the game, using a system of equations, is as follows:

A system of equations is two or more equations solved simultaneously.

Such systems of equations are also called simultaneous equations.

The cost of adult tickets per unit = $6

The cost of student tickets per unit = $5

The total number of tickets sold = 16

The total revenue from the 16 tickets = $82

Let the number of adults who attend the game = x

Let the number of students who attend the game = y

x + y = 16 ...Equation 1

6x + 5y = 82 ...Equation 2

Multiply Equation 1 by 5:

5x + 5y = 80 ...Equation 3

Subtract Equation 3 from Equation 2:

6x + 5y = 82

-

5x + 5y = 80

x = 2

Substitute x = 2 in Equation 1:

y = 14 (2 + y = 16)

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The probability that exactly two of the CDs are in the wrong cases is 1, or 100%.

To solve this problem, we can use the formula for permutations and combinations. The number of ways to place four CDs in four cases is 4!, which equals 24. The number of ways to place exactly two CDs in the wrong cases is the product of two combinations: the number of ways to choose two CDs out of four to be in the wrong cases, and the number of ways to place those two CDs in the wrong cases.

The number of ways to choose two CDs out of four is given by the combination formula:

C(4,2) = 4! / (2! × (4-2)!) = 6

The number of ways to place those two CDs in the wrong cases is 2, since each of the two incorrectly placed CDs can go in one of the two remaining cases.

The number of ways to place the other two CDs in their correct cases is 2, since each CD has exactly one correct case left.

Therefore, the total number of ways to place exactly two CDs in the wrong cases is:

6 × 2 × 2 = 24

So the probability of this happening is:

24 / 4! = 24 / 24 = 1

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In a collinear expression, AB = AC implies that B=C.

In general, the equation AB = AC does not imply that B = C.

Here's an example to illustrate this:

Suppose we are working in a coordinate plane, and let A = (0, 0), B = (1, 0), and C = (2, 0). Then we have AB = AC = 1, since the distance between any two points on the x-axis is simply the absolute value of the difference between their x-coordinates.

However, in this case, B and C are not the same point. Thus, AB = AC is not sufficient to imply that B = C.

However, if we also know that A, B, and C are collinear, then AB = AC would indeed imply that B = C. This is because if A, B, and C are collinear, then they lie on the same line, so there can be only one point that is equidistant from A and C, which is the point B.

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The fraction of regions with speed limits less than 70 mph is 11/25.

To find the fraction of regions with speed limits less than 70 mph, we can subtract the fraction of regions with 70 mph speed limits from the fraction of regions with maximum speed limits up to and including 70 mph.

Fraction of regions with speed limits less than 70 mph = Fraction of regions with maximum speed limits up to and including 70 mph - Fraction of regions with 70 mph speed limits

= 39/50 - 17/50

To subtract fractions, we need a common denominator, which in this case is 50:

= (39 - 17)/50

= 22/50

This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

= (22/2) / (50/2)

= 11/25

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Answer:

price = $175

percentage off the price = 20%

20% of 175 = 20/100 x 175 = 35

the price off the main price = 35

therefore the price of the boots is 175 -35 = 140

the price is $140

Probability is a fundamental concept in statistics and is used to make predictions, estimate risks, and make decisions in various fields such as finance, sports, medicine, and engineering.

We have,

Probability is a measure of how likely an event is to occur.

It is a way of quantifying uncertainty and making predictions based on incomplete information.

For example,

When we toss a fair coin, there are two possible outcomes: heads or tails. Since the coin is fair, each outcome has an equal chance of occurring, so the probability of getting heads is 1/2 or 50%, and the probability of getting tails is also 1/2 or 50%.

Another example of probability is when we roll a six-sided die.

There are six possible outcomes, each of which has an equal chance of occurring.

Therefore, the probability of rolling a specific number, say 4, is 1/6 or approximately 17%.

Thus,

Probability is a fundamental concept in statistics and is used to make predictions, estimate risks, and make decisions in various fields such as finance, sports, medicine, and engineering.

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The shape of the polygon with side lengths of 28 cm, 28 cm, 40 cm, 52 cm, and 64 cm is an irregular pentagon.

To determine the shape of a polygon, we need to know the number of sides it has. In this case, the polygon has five sides, making it a pentagon. However, since the sides are not all equal in length, it is an irregular pentagon. It's important to note that irregular polygons do not have equal angles, unlike regular polygons. Therefore, this pentagon does not have equal angles. It is also important to note that the shape of the polygon can change depending on the angle and orientation of the sides.

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What is the shape of the polygon with side lengths of 28 cm, 28 cm, 40 cm, 52 cm, and 64 cm?

The lateral area of the prism is 48 cm²

We have,

Lateral area is the surface area of the sides or lateral faces of a three-dimensional object, excluding the surface area of the bases.

Now,

From the figure,

There are 4 rectangular-shaped sides.

And,

1 dm = 10 cm

0.3 dm = 3 cm

Now,

Lateral area of the prism.

= 4 x 3 + 3 x 3 + 4 x 3 + 5 x 3

= 12 + 9 + 12 + 15

= 48 cm²

Thus,

The lateral area of the prism is 48 cm²

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The value of 'x' is -3 or 13 when 3/4 the distance between a number x and 5 is -6.

Given that 3/4 the distance between a number 'x' and 5 is -6.

The distance between x and 5 is (x-5) or (5-x).

3/4 the number will be 3/4 (x-5) or 3/4 (5-x).

Now, we have to solve the value of 'x' in the two cases.

The first case is 3/4 (x - 5) = -6.

Multiplying by 4/3 on both sides.

x - 5 = -6 x 4/3

x - 5 = -8

x = -3.

The second case is 3/4 (5 - x) = -6.

5 - x = -6 x 4/3

5 - x = -8.

x = 13.

Therefore, the value of 'x' is -3 or 13.

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