How much principal must be deposited to earn $400 simple interest in 2 years at a rate of 5%?

$40

$5,000

$8,000

$4,000

​

Answer:

2 my guy

Step-by-step explanation:

Therefore, to make the game fair, you should earn a profit of $3 when you win.

To determine the profit you should earn when you win in order for the game to be fair, we need to consider the overall expected value.

In this gambling game, you win 25% of the time and lose 75% of the time. Let's assume that when you win, you earn a profit of P dollars. When you lose, you lose $1.

The expected value can be calculated as follows:

Expected Value = (Probability of Winning * Profit) + (Probability of Losing * Loss)

Since the game should be fair, the expected value should equal zero. Thus, we can set up the equation:

0 = (0.25 * P) + (0.75 * (-1))

Simplifying the equation:

0 = 0.25P - 0.75

0.75 = 0.25P

P = 0.75 / 0.25

P = 3

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\( - 3x + 4y = 7 \\ y = 3x - 5\)

\( - 3x + 4 \times (3x - 5) = 7\)

\( - 3x + 12x - 20 = 7\)

\(9x - 20 = 7\)

\(9x = 7 + 20\)

\(9x = 27\)

\(x = 3\)

\(y = 3 \times 3 - 5\)

\(y = 9 - 5\)

\(y = 4\)

\((x,y)=(3,4)\)

The actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

The margin of error in the report stating that a 10-year-old American child spends an average of 20.02 to 25.36 minutes playing outdoors per day can be calculated by subtracting the lower value from the higher value and dividing by 2. In this case, the margin of error is :

To find the margin of error, we need to calculate the halfway point between these two values.
(25.36 - 20.02) / 2 = 2.67

Therefore, the margin of error is approximately 2.67 minutes. This means that the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

Thus, the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

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Answer:

158 in.

Step-by-step explanation:

Surface area of a prism = Area of all the faces added together

So, Face 1 & 2 = 5 x 80 = 40 x 2 = 80

Face 3 & 4 = 8 x 3 = 24 x 2 = 48

Face 5 & 6 = 5 x 3 = 15 x 2 = 30

Therefore, adding them together makes:

80 + 48 + 30 = 158 in.

y" + 2y + (x + 1)y = 0, y(0) = 0, y(9) = 0

Let us find the eigenvalues and eigenfunctions for the given boundary-value problem.

Eigenvalues and eigenfunctions We know that the boundary-value problem has an eigenfunction of the form y = eλx and, therefore, we have to find the eigenvalues λ such that the boundary conditions are satisfied.

λ2 + 2λ + (x + 1) = 0

λ = -1 ± √(1 - x)

1 + √(1 - x) and -1 - √(1 - x)

y(x) = c1 e(-1+√(1-x))x + c2 e(-1-√(1-x))x

Note: Since there are two roots, we need to find two eigenfunctions that satisfy the given boundary conditions.y(0) = c1 + c2 = 0y(9) = c1 e(-1+√(1-9))9 + c2 e(-1-√(1-9))

9 = 0c1 + c2 = 0c1 e(-1+√(1-9))9 + c2 e(-1-√(1-9))

9 = 0c1 = -c2Putting c1 = -c2,

c1 e(-1+√(1-9))9 + c2 e(-1-√(1-9))

9 = 0c1 e8 + c2 e-8 = 0c1 = c2 e16c2 e16 e8 + c2 e-8 = 0c

2(e16 e8 + e-8) = 0c2 = 0  c1 = 0 and c2 = 0

y1(x) = e(-1+√(1-x))x, λ1 = -1 + √(1 - x)y2(x) = e(-1-√(1-x))x,

λ2 = -1 - √(1 - x)

The given function is given as:Y(k)= e sin

Frit 9n=1, 2, 3,..., n-1, 2, 3,...

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The best description is skew right. (the date is missing in this question)

What is Skew right?

A distribution is right skewed if it has a “tail” on the right side of the distribution

The cumulative relative frequency graph shows that

The slope between 0 and 4 is substantially steeper than the curve between 6 and 14.

Then

Because most of the data values are between 0 and 4 (where the histogram's highest bar appears) and relatively few values lie between 6  and 14 the histogram's distribution should be skewed to the right, resulting in low bars tailing to the right side of the highest bars.

Because there are more data values between 0 and  4 than between 6 and 14 we can conclude that skewed right is the best description of the histogram's form. Hence, the it is skewed right.

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By following below steps, you will be able to determine which triangle represents the image of triangle XYZ after the given transformations.

To determine which triangle represents the image of triangle XYZ after it was reflected across line M and then dilated to form a similar triangle, you should follow these steps:

1. Identify the reflection: Find the image of triangle XYZ after reflecting it across line M. The reflected triangle will have the same shape and size, but its orientation and position will be changed.

2. Identify the dilation: From the reflected triangle, find the image that represents a similar triangle by checking if all corresponding angles are equal and the side lengths are proportional. This triangle will have the same shape as the reflected triangle, but its size may be different due to dilation.

By following these steps, you will be able to determine which triangle represents the image of triangle XYZ after the given transformations.

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Answer: B

Step-by-step explanation:

Answer: 40

Step-by-step explanation:

Assume Julio's number is x.

The expression would be:

-7 * (x - 15) = -175

x - 15 = -175/-7

x = -175/-7 + 15

x = 40

Answer:

Haircut : $20

Tip (15%) : $3

=> $20+$3= $23

Step-by-step explanation:

Step-by-step explanation:

3x+1 = 5x-1

3x+2= 5x

2x= 2

x= 1

Answer:

Real - 16 Imaginary - 3i

Step-by-step explanation:

If the number has i with it, it's imaginary. If it doesn't have i with it, it's real

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

To find the zeros of the function y = tan(2x), we can utilize the fact that tan(x) is equal to sin(x)/cos(x).

Given y = tan(2x), we can rewrite it as:

y = sin(2x) / cos(2x)

Now, let's consider the numerator of this expression, which is sin(2x). If we set sin(2x) equal to zero, we can determine the values of x that make the numerator zero:

sin(2x) = 0

By solving this equation, we can find the zeros of sin(2x). The solutions will be the values of x for which sin(2x) equals zero.

Similarly, we can look at the denominator of the expression y = sin(2x) / cos(2x), which is cos(2x). If cos(2x) equals zero, the denominator will be zero, which leads to undefined values for y. These points will be vertical asymptotes of the function tan(2x).

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

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Step-by-step explanation:

Mean is the sum of all values divided by the total number of values

Median is the value in the middle of a data set

(the median is the middle value when the data set is an odd number, or the arithmetic mean of the two medians when the data set is an even number)

Mode is the most frequent value

Range is the difference between the highest and the lowest values in a data set

.

1. Mean:

\( \frac{3 + 0 + 0 + 2 + 0 + 3 + 0 + 2 + 2 + 2 + 3 + 3}{12} = 1 \frac{2}{3} \)

Median: The data set is an even number (12)

The middle values are 3 and 0

\( \frac{3 + 0}{2} = 1.5\)

Modes: 2 and 3

Range: The highest value is 3 and the lowest is 0

\(3 - 0 = 3\)

.

2. Mean:

\( \frac{40 + 61 +95 + 79 + 9 +50 + 80 + 63 + 109 + 42 }{10} = 62.8\)

Median: The data set is an even number (10)

The middle values are 5 and 6

\( \frac{5 + 6}{2} = \frac{11}{2} = 5.5\)

Mode: There is no mode

Range: The highest value is 109 and the lowest is 9

\(109 - 9 = 100\)

.

3. Mean:

\( \frac{90 + 50 + 70 + 80 + 70 +60 + 20 + 30 + 80 + 90 + 20}{11} = 60\)

Median:The data set is an odd number (11)

The middle value is 6

Modes: 20, 70, 80, 90

Range: The highest value is 90 and the lowest is 20

\(90 - 20 = 70\)

.

4. Mean:

\( \frac{98 + 100 +65 + 78 +98 + 35 + 100 + 45 + 50 }{9} = 74 \frac{1}{3} \)

Median: The data set is an odd number (9)

The middle value is 98

Modes: 100 and 98

Range: The highest value is 100 and the lowest is 35

\(100 - 35 = 65\)

.

5. Mean:

\( \frac{8 + 2 + 9 +4 + 2 +7 + 8 + 0 + 4 + 1}{10} = 4.5\)

Median: The data set is an even number (10)

The middle values are 2 and 7

\( \frac{2 + 7}{2} = 4.5\)

Modes: 2, 4, 8

Range: The highest value is 9 and the lowest is 0

\(9 - 0 = 9\)

.

6. Mean: 22 1/15

Median: The data set is an even number (30)

The middle values are 21 and 23

The median is (21 + 23) / 2 = 22

Mode: 24 and 32

Range: The highest value is 40 and the lowest is 6

40 - 6 = 34

Answer:

(q + r) (m - p)

Explanation:

= -p(q + r) + mq + mr

= -p(q + r) + m(q + r)

= (q + r) (-p + m)

- PNW

Answer is:

Six, the answer is six

Answer:

Step-by-step explanation:

6

The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.

The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.

Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):

275 liters / 1000 = 0.275 cubic meters

Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:

∛(0.275) ≈ 0.640

Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.

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Answer:

22

Step-by-step explanation:

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Answer:it will be 20 inches long at the end of 5 weeks

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

i got it wrong and it showed me the real answer

Answer:

The number x that is midway between x and 27, and has a midpoint of -3, is -33

midpoint = (x + 27) / 2

We also know that the midpoint is equal to -3, so we can set these two expressions equal to each other and solve for x:

-3 = (x + 27) / 2

Multiplying both sides by 2 gives:

-6 = x + 27

Subtracting 27 from both sides gives:

x = -33

Answer:

2 is positive, so this graph has a minimum and opens upward

Step-by-step explanation:

Answer:The length of the fourth side is 3m

Step-by-step explanation: look at the picture attached

The patient will pay $452.20 in full today after applying the 15% discount.

If the patient receives a 15% discount for a visit to the healthcare provider and the total charge for the service is $532.00, the patient will pay 100% - 15% = 85% of the total charge.

To calculate the amount the patient will pay in full today, we need to find 85% of $532.00.

85% of $532.00 can be calculated as:

(85/100) * $532.00 = $452.20

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Answer:

total Change mean how much you change it. For example, If you have 2 dollor you give your mom 1 dollor, then what is your total Change now? 2-1=1 your total Change would be 1

Hope this helps.

The mode is the category with the highest frequency in the distribution.

In a dataset or distribution, the mode refers to the value or category that appears most frequently. It represents the peak or most common observation in the dataset. Unlike the mean and median, which are measures of central tendency, the mode focuses on the frequency or occurrence of specific values or categories.

For example, if we have a dataset of test scores: 85, 92, 78, 92, 77, 85, 90. In this case, the mode would be 92 since it appears twice, which is more frequently than any other value.

In categorical data, the mode refers to the category or group with the highest frequency or count. For example, if we have a dataset of favorite colors: red, blue, green, blue, blue, yellow, green. In this case, the mode would be blue since it appears more frequently than any other color.

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Answer:

$48

Step-by-step explanation:

192/4 = 48

Hope this helps