You put $800 in a savings account. The account earns 4% simple interest per year.

a. What is the interest earned after 5 years?

The interest earned is $__ after 5 years.

b. What is the balance after 5 years?

The balance is $__ after 5 years.

Answer:

14

Step-by-step explanation:

You divide 56/8 to get 7

Next you multiply that by 2 to get...

14

Hope this helps!

Answer: 14 stamps

Step-by-step explanation:

56/8=7 stamps per sheet

7 stamps= 1 sheet of paper

7 x 2= 14 stamps on 2 sheets

Answer:

I'm sorry I don't know

Step-by-step explanation

Pickles are pretty tasty, though!

Answer:

The fraction is 13/21.

Step-by-step explanation:

The denominator of a fraction is 8 more than its numerator.

Let x be the numerator: x

So the denominator is: x + 8

\(\frac{x}{x + 8}\)

If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2.

It will become:

\(\frac{x - 1}{x + 8 + 3} = \frac{1}{2}\)

\(\frac{x - 1}{x + 11} = \frac{1}{2}\)

Now, by using cross multiplication, multiply (x - 1) by 2 and (x+11) by 1.

It will become:

2x - 2 = x + 11

Now transpose and combine the same values. Make sure to change the integer sign. If the integer is positive, change it to negative when you transpose it.

2x - x = 11 + 2

x = 13

So the value of x is 13. Now to check if it is correct. Go back to the equation(\(\frac{x - 1}{x + 11} = \frac{1}{2}\))

Put the value of x in it.

\(\frac{13-1}{13+11} = \frac{1}{2}\)

\(\frac{12}{24} = \frac{1}{2}\)

12/24 is equivalent to 1/2 so that is correct.

Now, to find the main fraction. Go back to the original equation which is;

(\(\frac{x}{x + 8}\))

Put the value of x.

\(\frac{13}{8 + 13}\)

= 13/21

Not a verified expert but I put much effort to answer your question. Hope it helps:)

A probability tree to show all the possible outcomes. is as shown in the following diagram.

In this question, we have been four white eggs and two brown eggs in an egg box.

Lucy decides to use two of the eggs to make an omelet. She takes each egg from the box without looking at the color.

We need to draw a probability tree to show all the possible outcomes.​

Let w1, w2, w3, w4 be four white eggs and b1, b2 be two brown eggs.

There are 6 total eggs.

So, the probability of selecting an egg would be 1/6

After selecting 1st egg, there would be 5 eggs in the bag.

The probability of selecting an egg from 5 eggs would be 1/5

The joint probability of selecting 2 eggs would be,

1/6 × 1//5 = 1/30

A probability tree to show all the possible outcomes. is as shown in the following diagram.

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The relationship between angle CAM and angle TAS is that they are supplementary angles that sum to 180°.

Supplementary angles are two angles whose measures add up to 180°. In this case, angle CAM and angle TAS are formed by the intersection of line CT and line SM at point A.

Since they are formed by intersecting lines, angle CAM and angle TAS are adjacent angles that share a common vertex (point A) and a common side (line AM).

By definition, adjacent supplementary angles form a straight line, which measures 180°. Therefore, angle CAM and angle TAS are supplementary angles that sum to 180°.

It is important to note that vertical angles are pairs of opposite angles formed by the intersection of two lines. They are congruent, meaning they have equal measures.

However, the given information does not specify that angle CAM and angle TAS are formed by intersecting lines as vertical angles. Therefore, the correct relationship in this case is that they are supplementary angles, not vertical angles.

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The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

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The mole ratio of hydrogen to ammonia in the equation N₂ + 3H₂ → 2NH₃ is 3:2

we will balance the equation to find the mole ratio of the hydrogen to ammonia.

Therefore,

N₂ + 3H₂ → 2NH₃

From the equation, Nitrogen has a coefficient of 1 , Hydrogen have a coefficient of 3 and ammonia have a coefficient of 2.

Therefore, the coefficient of the substance is the number of moles.

Hence, the mole ratio of hydrogen to ammonia is  3:2

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The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b. This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

To find the equation for the tangent plane to the graph of the function f(x, y) = 2e^x - y at a given point (x0, y0), we need to calculate the partial derivatives of f with respect to x and y at that point.

The partial derivative of f with respect to x, denoted as ∂f/∂x or fₓ, represents the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y or fᵧ, represents the rate of change of f with respect to y while keeping x constant.

Let's calculate these partial derivatives:

fₓ = d/dx(2e^x - y) = 2e^x

fᵧ = d/dy(2e^x - y) = -1

Now, we have the partial derivatives evaluated at the point (x0, y0). Let's assume our point of interest is (a, b), where a = x0 and b = y0.

At the point (a, b), the equation for the tangent plane is given by:

z - f(a, b) = fₓ(a, b)(x - a) + fᵧ(a, b)(y - b)

Substituting fₓ(a, b) = 2e^a and fᵧ(a, b) = -1, we have:

z - f(a, b) = 2e^a(x - a) - (y - b)

Now, let's substitute f(a, b) = 2e^a - b:

z - (2e^a - b) = 2e^a(x - a) - (y - b)

Rearranging and simplifying:

z = 2e^a(x - a) - (y - b) + 2e^a - b

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b.

This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

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Answer:

($3.90)(12) - (2)($3.90) = 39.00

39.00/12 = 3.25 per pretzel

Step-by-step explanation:

the given differential equation dR/dx = a(R² + 16), where a is a non-zero constant, is R = -4/√\((16 - e^(2ax + C))\), where C is the constant of integration.

In the first part, the solution to the differential equation is R = -4/√\((16 - e^(2ax + C)).\)

In the second part, let's solve the differential equation step by step. We start by separating variables:

dR/(R² + 16) = a dx.

Next, we integrate both sides:

∫(1/(R² + 16)) dR = ∫a dx.

To integrate the left side, we can use a substitution. Let u = R² + 16, then du = 2R dR. This gives us:

(1/2) ∫(1/u) du = ∫a dx.

Simplifying the left side and integrating, we have:

(1/2) ln|u| = ax + C.

Substituting back for u and rearranging, we get:

ln|R² + 16| = 2ax + 2C.

Taking the exponential of both sides, we have:

|R² + 16| = \(e^(2ax + 2C).\)

Considering the absolute value, we can rewrite it as:

R² + 16 = \(e^(2ax + 2C).\)

Solving for R, we get:

R = ±√(e^(2ax + 2C) - 16).

Simplifying further:

R = ±√(e^(2ax + C) - 16).

Finally, we can rewrite it as:

R = -4/√(16 - e^(2ax + C)).

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The chapter test from maths teacher will contain 15 questions of worth 4 points.

Let the number of questions having weightage of 4 marks be x. Now, we know that problems will only be worth 2 and 4 points. Also we know that some of these problems will be 35. Thus, let us form the equation.

20 + x = 35

Rewriting the equation according to x

x = 35 - 20

Performing subtraction on Right Hand Side of the equation

x = 15

Thus, there will be 15 questions of 4 points.of the maths test to be conducted next week.

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Step-by-step explanation:

solve the ineq first then plot on the number line so,

-2(4x + 5) ≤ 30

-8x - 10 ≤ 30

-8x ≤ 40

x ≥ -5

therefore, option A is correct.

Topic: Inequalities

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After answering the provided question, we can conclude that t = 1.833 is standard deviation the critical value for a one-tailed t-test with 9 degrees of freedom and a significance level of 0.05.

A statistic that communicates the fluctuation or variance of a number set is the standard deviation. A high standard deviation indicates that the values seem to be more dispersed, whereas a low standard deviation indicates that the values are closer to the established mean. The standard deviation is a measure of how far the data varies from the mean (or ). So when standard deviation is small, the data tends to cluster around the mean; when it is huge, the data is more dispersed. The standard deviation represents the average variability of something like the data set. It displays the average deviation from the mean of each score.

To decide whether the new manufacturing technique should be used, we must first determine whether the standard deviation of the drug concentration in the new process is less than 4 g/l. A hypothesis test can be used with the following null and alternative hypotheses:

H0 (null hypothesis): In the new process, the standard deviation of drug concentration is 4 g/l.

Alternative hypothesis (Ha): In the new process, the standard deviation of drug concentration is less than 4 g/l.

For the standard deviation, we can use a one-tailed t-test with a

\(t = (n - 1) * s^2 / \sigma^2\\s = \sqrt(1/(n-1) * \sum(xi - x\bar)^2) = 0.004 g/l\\t = (n - 1) * s^2 / \sigma^2 = (10 - 1) * 0.004^2 / 4^2 = 0.0007\)

t = 1.833 is the critical value for a one-tailed t-test with 9 degrees of freedom and a significance level of 0.05.

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BMW of North America recalled certain vehicles with possibly defective head airbags in February 2018, and claimed that 4% of the recalled vehicles actually had defective airbags. Let X be the number of vehicles that have defective airbags out of six selected vehicles. The probability of a defective airbag is 4%, while the probability of a non-defective airbag is (1-0.04) = 0.96.

Using the binomial probability formula, the probability of x successes in n independent trials with the probability of success p is given by P(x) = nCx px(1 - p)n-x, where nCx represents the number of ways to choose x items from n distinct items. In this case, x = 0 (i.e., none of the six vehicles have a defective airbag), p = 0.04, and n = 6. Hence, we have:

P(0) = 6C0 (0.04)0 (0.96)6-0= 1(1)(0.96)6= 0.850 (approx)

Therefore, the probability that none of the six vehicles has a defective airbag is approximately 0.850.

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The option that follows is c .

The between-group estimate for calculating the degrees of freedom in ANOVA is calculated using the formula k - 1, where k represents the number of groups or treatments being compared.

This estimate represents the variability between the group means and is used in the F-ratio calculation to determine if the differences between the groups are significant.

When conducting ANOVA, the between-group estimate is an important factor in determining the degrees of freedom. This estimate represents the variability between the group means and is used to calculate the F-ratio, which determines if the differences between the groups are significant. The between-group estimate is calculated using the formula k - 1, where k represents the number of groups being compared. This formula is used because the estimate is based on the number of independent sources of variation between the groups. By accurately calculating the degrees of freedom, researchers can determine if the differences between the groups are statistically significant.

The between-group estimate for calculating the degrees of freedom in ANOVA is crucial for determining the statistical significance of differences between groups. It is calculated using the formula k - 1, where k represents the number of groups being compared. This estimate represents the variability between the group means and is used in the F-ratio calculation. Accurately calculating the degrees of freedom is essential in conducting valid ANOVA analyses.

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Answer:

rounded to nearest tenths: 0.0

rounded to nearest hundredths: 0.03

rounded to nearest thousandths: 0.029

rounded to nearest ten thousandths: 0.0290

Step-by-step explanation:

The process capability is moderate, with better capability to produce within the upper specification limit. Improvement may be needed to enhance the capability to produce within the lower specification limit.

To compute the process capability indexes Cp, Cpl, Cpu, and Cpk, we need to use the following formulas:

Cp = (USL - LSL) / (6 * σ)

Cpl = (μ - LSL) / (3 * σ)

Cpu = (USL - μ) / (3 * σ)

Cpk = min(Cpl, Cpu)

Given the specifications:

LSL = 0.05 cm

USL = 0.10 cm

And the sample data:

Sample size (n) = 100

Sample mean (μ) = 0.067 cm

Sample standard deviation (σ) = 0.021 cm

First, let's calculate the process capability index Cp:

Cp = (USL - LSL) / (6 * σ)

= (0.10 - 0.05) / (6 * 0.021)

≈ 0.416

Next, let's calculate the process capability index Cpl:

Cpl = (μ - LSL) / (3 * σ)

= (0.067 - 0.05) / (3 * 0.021)

≈ 0.333

Then, let's calculate the process capability index Cpu:

Cpu = (USL - μ) / (3 * σ)

= (0.10 - 0.067) / (3 * 0.021)

≈ 0.476

Finally, let's calculate the process capability index Cpk:

Cpk = min(Cpl, Cpu)

= min(0.333, 0.476)

≈ 0.333

Interpretation: Cp measures the overall capability of the process and indicates the potential for the process to produce within the specifications. In this case, Cp = 0.416, indicating a moderate process capability.

Cpl and Cpu measure the capability of the process to produce within the lower and upper specification limits, respectively. In this case, Cpl = 0.333 and Cpu = 0.476, indicating that the process has better capability to produce within the upper specification limit.

Cpk measures the capability of the process to produce within both the lower and upper specification limits. It is the minimum value between Cpl and Cpu. In this case, Cpk = 0.333, indicating that the process is limited by its capability to produce within the lower specification limit.

Overall, the process capability is moderate, with better capability to produce within the upper specification limit. Improvement may be needed to enhance the capability to produce within the lower specification limit.

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The location of B under the Line Segment Partition is 6.8

What is Line Segment Partition?

A line segment is partitioned when it is divided into equal parts according to a specified ratio. The total number of partitions of the line segment must be equal to the sum of the two values in the ratio.

Given in the question that on a number line AC;

Location of Point A = 4

Location of point C = 11

point B lies between points A and C

So, B divides line AC in the ratio AB: BC = 2:3.

Thus;

BC = 3/5 of the total length of the AC

AB = 2/5 the total length of the AC

Then, total length of AC = 11-4 = 7

BC = 3/5 * 7 = 4.2

AB = 2/5 * 7 = 2.8

Thus, the location of point B is; 4 + 2.8 = 6.8

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Answer:

Step-by-step explanation:

Here you go mate

Step 1

2/3x+5=1  Equation

Step 2

2/3x+5=1  Simplify

2/3x=-4

Step 3

2/3x=-4  Simplify

answer

x=-6

Answer:

1st option. (x, y). The x - coordinate comes first and describes the horizontal (right and left) plane. The y - coordinate describes vertical (up, down) movement.

Step-by-step explanation:

i did test on edg.

Answer:

the first one

Step-by-step explanation:

Answer:

4 inches

Step-by-step explanation:

W×L=A

3×L=12

L=4

Answer: 4

Step-by-step explanation

Area of square = width ×lenght

12 = 3 × lenght

Lenght = 12÷3

Lenght = 4

The estimated regression equation by the least squares method minimizes the sum of squared differences between observed values and predicted values.

The least squares method is used in regression analysis to find the line or curve that best fits a given set of data points. It achieves this by minimizing the sum of squared differences (also known as residuals) between the observed values and the corresponding predicted values from the regression equation. The "sum of squared differences" refers to the sum of the squared vertical distances between each data point and the regression line. By squaring the differences, larger deviations from the regression line have a greater impact on the overall sum. Minimizing this sum ensures that the estimated regression equation provides the best possible fit to the data points by reducing the overall error between the observed values and the predicted values. In summary, the least squares method finds the estimated regression equation that minimizes the sum of squared differences, allowing us to model and predict the relationship between variables based on the best fit to the given data.

The estimated regression equation by the least squares method minimizes the sum of squared differences between observed values and predicted values.

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The cube has a surface area of 1536 inches².

A three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given \($ \mathrm{S = 6V^{\frac{2}{3} }}\)

S is surface Area ‘A’, in square units, of a cube

V is volume of cube in cubic units.

Now in the given question,

V = 4096 cubic inches

The formula below can be used to get the cube's surface area:

Surface area = \($ \mathrm{ 6V^{\frac{2}{3} }}\)

Surface area = 6 × \(4096^{\frac{2}{3} }\)

Surface area = 6 × 16²  = 6  × 256

Surface area = 1536 inches²

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Mike is 40 years old now.

Let Al's age be x years. According to the problem statement,

Al was 2 years old 8 years ago.

Therefore, Al's present age is:x + 8 years

Now, Mike is 4 times older than Al. That is, the age of Mike is 4(x + 8) years.

Mike is now 4 times older than Al, if Al was 2 years old 8 years ago, then Mike is 36 years old now.

In order to verify the solution, you can use a direct method of substitution.

If Al's present age is x + 8, then his age 8 years ago was x + 8 - 8 = x.

Since Al was 2 years old 8 years ago, we have:x = 2

Therefore, Al's present age is:x + 8 = 2 + 8 = 10 years

Now, Mike is 4 times older than Al.

Therefore, Mike's age is 4 × 10 = 40 years.

This is consistent with the original statement that "Mike is now 4 times older than Al if Al was 2 years old 8 years ago".Therefore, Mike is 40 years old now.

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Answer:

the answer for first is 3

second is 4

Answer: I have no clue lol but if I had to guess I'd say A because it just seems like it stands out from the rest

Step-by-step explanation:

The length of the rectangle is: 25 m

The perimeter of the rectangle is: 88 m

Area of a rectangle = (length)(width).

Perimeter of a rectangle = 2(length + width).

Give the following:

Width of rectangle = 19 m

Area of rectangle = 475 m²

Find the Length using the area formula:

475 = (length)(19)

475/19 = length

Length of the rectangle = 25 m

Find the perimeter of the rectangle

Perimeter of the rectangle = 2(25 + 19)

Perimeter of the rectangle = 2(44)

Perimeter of the rectangle = 88 m

Thus, the length of the rectangle is: 25 m

The perimeter of the rectangle is: 88 m

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Answer:

369

Explanation:

Calculate each of the groups mentioned. You will derive that 360 students and bilingual and 9 of the teachers are bilingual. Add them together and you got your answer!

- Hope this helped.

Answer:

360 students and 9 teachers

Step-by-step explanation:

30/100 x 1200=360 students

15/100 x 60=9 teachers

Answer:

x = -6 and x = 1

Step-by-step explanation:

For the fraction to be undefined, find the zeros of the polynomial of the denominator.