How long does it take an account with a principal of $800 to earn $96 in interest at a simple annual interest rate of 2%?

The position of a point or figure before any transformation is called "preimage"

After undergoing the transformation the resulting point/figure is called "preimage"

So for this exercise, the "preimage" is point A(5,-2)

This point was reflected over the point (4, -5)

To calculate the x-coordinate of B, first calculate the distance between the x-coordinates of point A and the reflection point.

Next subtract it to de x-coordinate of the reflection point

For the y-coordinate of B you have to follow the same method, first calculate the difference between the y-coordinates of point A and the reflection point:

Next subtract it from the y-coordinate of the reflecting point to determine the y-coordinate of B

The coordinates for point B are (3,-8)

The solution to the system of inequalities y ≤ 2x + 2 and y < -2x - 3 can be represented by a graph. The inequality y ≤ 2x + 2 represents a line with a slope of 2 and y-intercept of 2. The inequality y < -2x - 3 represents a line with a slope of -2 and y-intercept of -3. ( The graph attached)

The inequality y ≤ 2x + 2 represents a line in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 2 and the y-intercept is 2. To graph this inequality, we can first plot the line by using the y-intercept, which is the point (0,2) on the graph. Then, we can use the slope to find additional points that fall on the line, such as (1,4) or (-1,0). Once we have plotted several points, we can connect them to form the line.

The inequality y < -2x - 3 represents a similar line, but with a different slope and y-intercept. In this case, the slope is -2 and the y-intercept is -3. To graph this inequality, we can use the same process as before by first plotting the y-intercept (0,-3), and then using the slope to find additional points that fall on the line.

The solution to the system of inequalities is the area that lies on one side of the first line and the opposite side of the second line, which is the area between the two lines. This area can be represented by shading the region below the first line and above the second line on the graph. It is important to note that the solution region is not including the lines themselves, because the inequalities are strict inequalities.

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Answer:

For ten, it's A

For 11, its B

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

Answer:

10: A. 11: B

Step-by-step explanation:

Answer:

Option B - 35.4 VAC

Step-by-step explanation:

Formula for peak voltage is;

V_p = V_rms × √2

Making V_rms the formula, we have;

V_rms = (V_p)/√2

We are given:Peak voltage: V_p = 50 VAC

Where 50 VAC means 50 Volts AC power

Thus;

V_rms = 50/√2

V_rms ≈ 35.4 VAC

So option B is correct

The vertical distance of balloon above the ground is 358.85 ft.

The angle of depression refers to the angle formed by the horizontal and a downward angle to an object. The line of sight of an observer is usually positioned below the horizontal.

From the given information we have the angle of depression is measured as 24° and the horizontal distance = 806feet

To determine the vertical distance above the ground, we will use the tangential trigonometric ratio as;

tan 24° = h/806

h = 806 tan 24°

h = 358.85 ft

h = 358.85 ft (to the nearest tenth foot)

The vertical distance of balloon above the ground is 358.85 ft.

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Step-by-step explanation:

\(4 \times 8 \times 6 = 192 {cm}^{3} \\ if \: we \: put \: the \: numbers \: in \: the \: formula \: for \: calculating \: volume \: the \: answer \: will \: be \: 192 {cm}^{3} \)

To find the value of x, we calculate the average of the sample observations. Summing up the observations and dividing by the total number of observations, we get:

x = (125 + 122 + 126 + 100 + 155 + 132 + 121 + 118 + 114 + 125 + 142 + 2 + 130 + 110 + 140 + 129 + 3) / 17 = 114.118 seconds (rounded to three decimal places).b) To find the value of R, we calculate the range of each sample by subtracting the minimum observation from the maximum observation. Then we find the average range across all samples:R = (155 - 100 + 142 - 2 + 140 - 110 + 132 - 114 + 142 - 3) / 5 = 109.2 seconds (rounded to three decimal places).

c) The Upper Control Limit (UCL) and Lower Control Limit (LCL) using 3-sigma can be calculated by adding and subtracting three times the standard deviation from the average:UCL = x + (3 * R / d2) = 114.118 + (3 * 109.2 / 1.693) = 348.351 seconds (rounded to three decimal places).LCL = x - (3 * R / d2) = 114.118 - (3 * 109.2 / 1.693) = -120.115 seconds (rounded to three decimal places).

d) The Upper Control Limit Range (UCLR) and Lower Control Limit Range (LCLR) using 3-sigma can be calculated by multiplying the average range by the appropriate factor:UCLR = R * D4 = 109.2 * 2.115 = 231.108 seconds (rounded to three decimal places).LCLR = R * D3 = 109.2 * 0 = 0 seconds.

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C and D

y=-1.25+66 (needs to be negative and has the closest outcome

24.8 weeks if you just follow the graph.

sorry if this is wrong

Answer:

0.65

Step-by-step explanation:

The r-value option (B) 0.65 represents the strongest correlation.

The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.

For the given situation,

We need to determine the r-value that represents the strongest correlation.

The relationship between two variables is generally considered strong when their r value is larger than 0.7.

Among the options, 0.65 is near to 0.7, so it has strongest correlation.

Hence we can conclude that the r-value option (B) 0.65 represents the strongest correlation.

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Answer:

x < -7

Step-by-step explanation:

4 − (x + 2) < −3(x + 4)

4 -x -2) < -3x - 12

2- x < -3x - 12

2 + 12 < -3x + x

14 < -2x

÷ -2 when we divide with a negative number we flip the inequality

-7 > x

We need to know about z-score to solve the problem. The z-score of the soda is 0.6

A z-score tells you how many standard deviations away an individual data falls from the mean. We can calculate z-score from the standard deviation and mean of the data. In this question we know that the cost of a soda is $1.15 and the mean is $1.00 and the standard deviation is $0.25.We need to calculate the z-score of the soda with the given information.

z-score=x-μ/σ=1.15-1.00/0.25=0.15/0.25=0.6

Therefore the z-score of the soda is 0.6

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Answer:

56

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3*5=15

15+3=18

and

6*5=30

30-12=18

The value of the unknown number is 5. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 3 is more than 3 times a number is equal to 12 less than 6 times the number.

The value of the unknown number will be calculated as,

3n + 3 = 6n - 12

6n - 3n = 12 + 3

3n = 15

n = 5

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The use of regression modeling in retail analytics can help businesses make data-driven decisions that ultimately lead to increased profits and growth.

Based on the information given, it seems that the large sports supplier is interested in predicting the annual revenue of a particular store based on various factors, such as population, promotion expenditure, and distance from the city center. This is a common approach in retail analytics, where regression models are often used to predict sales or revenue based on different variables.

By constructing a regression model, the sports supplier can gain valuable insights into which factors are most strongly associated with revenue, and how they can optimize their operations to increase sales. For example, they may find that stores located closer to the city center tend to have higher revenue, or that increased promotion expenditure leads to a greater increase in revenue in smaller towns.

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Answer: 19.0909090909  or 19

Answer:

D^2 = (x^2 + y^2) + z^2

and taking derivative of each term with respect to t or time, therefore:

2*D*dD/dt  =  2*x*dx/dt  + 2*y*dy/dt  + 0 (since z is constant)

divide by 2 on both sides,

D*dD/dt = x*dx/dt + y*dy/dt

Need to solve for D at t =0,  x (at t = 0) = 10 km,  y (at t = 0) = 15 km

at t =0,

D^2 =  c^2 + z^2 = (x^2 + y^2) + z^2  =  10^2 + 15^2 + 2^2  = 100 + 225 + 4  = 329

D = sqrt(329)

Therefore solving for dD/dt, which is the distance rate between the car and plane at t = 0

dD/dt = (x*dx/dt + y*dy/dt)/D  =  (10*190 + 15*60)/sqrt(329)  = (1900 + 900)/sqrt(329)

= 2800/sqrt(329) = 154.4 km/hr

154.4 km/hr

Step-by-step explanation:

The total mass of the region E is 32π/15.

We can use a triple integral to find the mass of the region E. The mass density function is given by ƒ(x, y, z) = 16x²z.

We can set up the triple integral as follows:

∫∫∫E ƒ(x, y, z) dV

where E is the region bounded by x² + y² ≤ z ≤ √√√ 2 − x² - y².

To evaluate this integral, we can use cylindrical coordinates, where x = r cos(θ), y = r sin(θ), and z = z. The region E is then defined by 0 ≤ r ≤ √√√ 2, 0 ≤ θ ≤ 2π, and r² ≤ z ≤ √√√ 2 - r².

The integral becomes:

∫0²√√√2 ∫0²π ∫r²√√√2-r² 16(r cos(θ))²z r dz dθ dr

Simplifying this integral:

∫0²√√√2 ∫0²π 16 cos²(θ) ∫r²√√√2-r² z r dz dθ dr

∫0²√√√2 ∫0²π 8 cos²(θ)(2-r²)² dθ dr

∫0²√√√2 8π/3 (8-r⁴) dr

After integrating, we get the total mass of the region E as:

M = 32π/15

Therefore, the total mass of the region E is 32π/15.

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Answer:

B. Area B = 17 x 3 C. Area A=11 x 12

A study conducted in 2004 examined the usage of cable television and radio among 10 individuals to determine if there was a significant difference in the average hours spent on each medium. Using a significance level of 0.05, statistical analysis was performed to test for a disparity between the population mean usage of cable television and radio.

The researchers collected data on the number of hours per week spent watching cable television and listening to the radio from a sample of 10 individuals. The objective was to determine if there was a significant difference in the average usage between cable television and radio, considering the increasing competition among various entertainment options.

To test for a difference between the population mean usage for cable television and radio, a statistical hypothesis test was conducted. The significance level (α) of 0.05 was chosen, which means that the results would be considered statistically significant if the probability of obtaining such extreme results by chance alone was less than 5%.

The test compared the means of the two samples, namely the average hours spent watching cable television and listening to the radio. By analyzing the data using appropriate statistical techniques, such as a two-sample t-test, the researchers determined whether the observed difference in means was statistically significant or could be attributed to random variation.

After conducting the hypothesis test, if the p-value associated with the test statistic was less than 0.05, it would indicate that there was a significant difference between the population mean usage of cable television and radio. Conversely, if the p-value was greater than 0.05, there would be insufficient evidence to conclude a significant disparity.

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Answer:

y = -3x - 1

Step-by-step explanation:

The slope-intercept form is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Point (-1, 2) (1, -4)

We see the y decrease by 6 and the x increase by 2, so the slope is

m = -6 / 2 = -3

Y-intercept is located at (0, - 1)

So, the equation is y = -3x - 1

Answer:

6 w

Explanation:

Question: "What is the GCF of 30, 42, and 12?

You may ask, "How did you get the answer?"

1) Let's list out the factors of 30, 42, and 12.

30 - 1, 2, 3, 5, 6, 10, 15, 30

42 - 1, 2, 3, 6, 7, 14, 21, 42

12 - 1, 2, 3, 4, 6, 12

What are the common numbers from the list?

1, 2, 3, 6

What is the greatest number from the list of the common numbers?

6

Now let's separate the variables and find the common factor of the variables.

Variables:  

w 2 ,  w 4 ,  w * w

can also be thought of as  w 1 .

Since  

w

is the lowest powered variable and all of the other ones are greater than that. Then it means that the common factor of the variables is  

w .

Answer:

6

Step-by-step explanation: You may ask, "How did you get the answer?"

1) Let's list out the factors of 30, 42, and 12.

30 - 1, 2, 3, 5, 6, 10, 15, 30

42 - 1, 2, 3, 6, 7, 14, 21, 42

12 - 1, 2, 3, 4, 6, 12

What are the common numbers from the list?

1, 2, 3, 6

What is the greatest number from the list of the common numbers?

6

Now let's separate the variables and find the common factor of the variables.

Variables: w2 , w4, w*w can also be thought of as w1.

Since w is the lowest powered variable and all of the other ones are greater than that. Then it means that the common factor of the variables is

w.

Let's combine what we've found out now!

The GCF of the integers is 6 and the common factor of the variables is

w

. Therefore, the GCF is 6w!

Answer:

1/4

Step-by-step explanation:

The square root of 1/16 = 1/4

they probably

For A: Bar graph; for B: Histogram; for C: Pie chart; and for D:  Bar graph would be appropriate graphical representations.

a. The number of sales for your online company on each of the seven days in the past week:

The best graphical display to use here would be a bar graph. This is because a bar graph is appropriate for showing the distribution of a categorical variable, and the days of the week can be considered a categorical variable. The bar graph can clearly show the number of sales for each day of the week, making it easy to compare sales across days.

b. The amounts of each of the sales on Monday of the past week:

A histogram would be the best choice for this scenario. A histogram is used to represent continuous data, and sales amounts are continuous data. The histogram can be used to show the frequency of sales amounts within a specific range, providing a clear visual representation of the distribution of sales amounts on Monday.

c. The number of items bought by each of the customers who made a purchase on Monday of the past week:

A Pareto chart would be the best choice for this scenario. A Pareto chart is used to show the relative frequency or size of problems or categories, with the largest categories displayed on the left and the smallest on the right. The Pareto chart can clearly show the number of items bought by each customer, making it easy to see which customers made the most purchases.

d. The total amount of sales during the past year for each of the customers who made a purchase on Monday of the past week:

A bar graph would be the best choice for this scenario. This is because a bar graph can clearly show the distribution of the total sales amount for each customer, making it easy to compare the total sales among customers.

"

Complete question

Which graphical display should you use? For each of the following scenarios, decide which graphical display (pie chart, bar graph, Pareto chart, stemplot, or histogram) you would use to describe the distribution of the variable. Give a reason for your choice and if there is an alternative choice that would also be reasonable, explain why your choice was better than the alternative.

a. The number of sales for your online company on each of the seven days in the past week.

b. The amounts of each of the sales on Monday of the past week.

c. The number of items bought by each of the customers who made a purchase on Monday of the past week.

d. The total amount of sales during the past year for each of the customers who made a purchase on Monday of the past week.

"

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In the given sample space of the outcomes of spinning a fair four-sided spinner and flipping a fair coin is 8 possible outcome.

What about sample space?

In probability theory, a sample space is the set of all possible outcomes of a random experiment or process. It is the collection of all possible outcomes that could occur when an experiment is performed.

For example, when rolling a six-sided die, the sample space would be {1, 2, 3, 4, 5, 6}, as those are the possible outcomes of the experiment. Similarly, when flipping a coin, the sample space would be {heads, tails}.

Define spinner:

A spinner is a circular device used in games and other activities to randomly select an outcome or determine a probability. It typically consists of a flat disk or wheel with different colored sections or markings, each representing a possible outcome. The spinner is spun, and the outcome is determined by the section or marking that comes to rest at the top of the spinner.

According to the given information:

The possible outcomes that we get from the given sample is,

\((H,1) (H,2) (H,3) (H,4) (T,1) (T,2) (T,3) (T,4)\)

So, the possible outcomes for the given condition is = 8 possible outcome.

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Answer:

whatever x is, add one and that is y.

-x? add 21 and that is also y.

do not change x, and plot the point.

The correct statement that describes variance inflationary factor (VIF) is option (a) the correlation of the x variable with each other  

The variance inflationary factor ( VIF ) defined as the  measure of the amount of multicollinearity in regression analysis.

When there is a correlation between multiple independent variable in multiple regression model, then there will be multicollinearity, therefore it will adversely affect the regression result

Correlation is defined as the extend to which the two variables are linearly connected. Therefore it will change at a constant rate together

Hence, the variance inflationary factor( VIF ) measures option (a) the correlation of the x variable with each other

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Answer:

18 students have only 2 pencils

Step-by-step explanation:

There is 29 students. six + five is eleven. Subtract 29 - 11 which is 18

Answer:

Look at the photo and Goodluck

While loop is a condition based loop which run till condition is true. So by giving condition that value is not equal to -1 while will run till -1 is entered.

→vectorname.push_back(value) function is used to add elements to a vector.

→vectorname.at(index) function is used to access element present at index.

The following is how the algorithm and program code will be written:

ALGORITHM :

Input value

while loop run till value is not equal to -1

Inside loop add value to vector

Input value

End loop

Output vector elements

PROGRAM CODE :

// C++ Program

#include

#include using namespace std;

// Main

int main()

{

   // Vector declaration

   vector dataVect; // Variable declaration

   int value; int i;

   // Input value cin >> value;

   // While value is not equal to -1

   while(value!=-1){

           // Add that value to vector

   dataVect.push_back(value);

   // Input value cin >> value;

   }

   // Output vector elements one by one

   for (i=0; i

   cout<<< dataVect.at(i) << endl;

    }

    return 0;

}

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