Albert got a regular salary of $312 every two weeks. He also made 9% commission on all of his
sales. If he sold $98 worth of merchandise, how much was his total earnings for the last two
weeks?

To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.

To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.

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The given system is

First, we multiply the second equation by -3.

Then, we combine the equations

This means the system has infinitely many solutions.

Answer: 10

Step-by-step explanation:

To work out the area of this shape you have to split this into 1 square and 2 triangles.

The formula of the area of the triangle is base x height divided by 2

The first triangle on the left would be 2x2/2=2

The area of second triangle on the left is 4x2/2=4

The formula for the square is base x height.

Then to work out the area of the square you do 2x2=4

So, to work out the area of the whole shape you add all of the areas together.

2+4+4=10

Q3 or upper quartile for the data 2,4,6,8,10,12 is 10

Q3 or upper quartile is an statistical term that separates the highest 25 percent data from lowest 75 percent data.

For finding quartile first arrange the given data into ascending order.

Find the median of the data then the median divides the data into two potions . the median of the upper half of data is the upper quartile.

Or if the total no of terms are n then Quartile formula for upper quartile is  

  = (n+1)3/4   term

Given data is 2,4,6,8,10,12 which is already arranged in ascending order and no of terms are n=6

Median of this data = ( 3rd term + 4th term)/2 =(6+8)/2=7

7 divides the data into two halves 2,4,6 and 8,10,12

Upper half is 8,10, 12 as this data has odd terms thus median will be the middle term

Median is middle term of 8,10,12 that is 10

Therefore, Q3 or the upper quartile of the given data is 10

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Ages of children falls in the Ratio of the variable . Ages of children: 4 years, 5 years, 6 years, 7 years, and 8 years

What level of measurement is the ages of children?

Technically, age is a continuum and a ratio. The age of a person does, after all, have a meaningful zero point (birth), and if you measure it well enough, it is continuous.

Age is what kind of variable and what scale of measurement?

The quick response is that age is taken into account a ratio variable because it has a "true zero" value.

                         The age of a person can be zero (a baby), and we can claim that the age difference between 0 and 10 years is equal to the age difference between 10 and 20 years.

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Answer:

$77

Step-by-step explanation:

The answer is $77 because first you need to find how much money was discounted by doing 70-49 to get 21. Then you need to find how much percent 21 is of 70 by doing 21/70, then you would get 0.3 which is 30% since you have to multiply it by 100. This means that there is a 30% discount. Then you would do 0.3*110=33. This means that the 30% discount takes away $33. So 110-33=77. The answer is $77.

Answer:

21.98

Step-by-step explanation:

In statistics, a residual is defined as the difference between the predicted value of an outcome variable and the observed value of that variable. Residuals are used to evaluate how well a regression model fits the data.In order to calculate the residuals for a scatterplot, follow these steps:

Step 1: Plot the data on a scatterplot.

Step 2: Perform a regression analysis on the data to find the equation of the regression line. This equation should take the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.

Step 3: Using the equation of the regression line, calculate the predicted value of y for each data point in the scatterplot.

Step 4: Subtract each predicted value of y from the actual value of y for each data point in the scatterplot. This difference is the residual for that data point.

Step 5: Plot the residuals on a new scatterplot. The x-axis of this scatterplot should be the independent variable, and the y-axis should be the residual values.

Step6: This scatterplot is called a residual plot.Residuals are useful for identifying patterns in data that the regression model fails to capture. If the residuals are randomly scattered around the horizontal axis, then the regression model is a good fit for the data. If there are clear patterns in the residual plot, then the regression model may not be a good fit for the data and further analysis is required.

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Given that a retailer needs to purchase 12 printers, the first printer cost $54.

It is known that each additional printer costs 5% less than than the cost of the previous printer.

Cost of the second printer

The second printer costs 5% less than the first printer, we thus have

Cost of the third printer

The third printer costs 5% less than the second printer, we thus have

Cost of the fourth printer

The fourth printer costs 5% less than the third printer, we thus have

Cost of the fifth printer

The fifth printer costs 5% less than the fourth printer, we thus have

Cost of the sixth printer

The sixth printer costs 5% less than the fifth printer, we thus have

Cost of the seventh printer

The seventh printer costs 5% less than the sixth printer, we thus have

Cost of the eighth printer

The eighth printer costs 5% less than the seventh printer, we thus have

Cost of the ninth printer

The ninth printer costs 5% less than the eighth printer, we thus have

Cost of the tenth printer

The tenth printer costs 5% less than the ninth printer, we thus have

Cost of the eleventh printer

The eleventh printer costs 5% less than the tenth printer, we thus have

Cost of the twelfth printer

The twelfth printer costs 5% less than the eleventh printer, we thus have

Thus, the total cost of 12 printers is evaluated as

Thus, the sum of twelve printers is $496.4

The second option is the correct answer.

\(~~~~~~x+80^{\circ} = 180^{\circ}\\\\\implies x = 180^{\circ} - 80^{\circ}\\\\\implies x = 100^{\circ}\)

Answer:

ITS C plz mark me brainliest

Step-by-step explanation:

Answer:

I think the answer is -0.76

Step-by-step explanation:

"The strongest linear relationship is indicated by a correlation coefficient of -1 or 1" meaning if the number is closer to either

Answer:

8 cm

Step-by-step explanation:

divide 400 by 50 which is 8.

The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.

According to the problem, two equations can be set up:

If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:

A + n = 7(B - n)

If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:

A - n = 2(B + n)

We can rearrange these equations to make them easier to solve:

8n = 7B - A

3n = A - 2B

Setting these equal to each other, since they are both equal to 24n, gives:

21B - 3A = 8A - 16B

37B = 11A

A / B = 37 / 11

= 3. 36

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Answer:

x = 21, m∠A = 23°, the measure of angle in the right = 67°

Step-by-step explanation:

The angles of a triangle sum up to 180°.

Right angles equals to 90°.

Thus, (2x - 19)° + (3x + 4)° + 90° = 180°

=> 5x + 75 = 180

=> 5x = 105

=> x = 21

m∠A=> 2(21) -19 = 23°

the measure of angle in the right=> 3(21) + 4 = 67°

Answer:

$9000 at 4$

and

$10000 at 8%

Step-by-step explanation:

Let's assume that "x" is the amount deposited in the 4% account and "y" is the amount deposited in the 8% account.

Recall the formula for interest as : \(I= P * R *t\)

where I is the interest, R is the annual rate of interest and t is the number of years.

Since there are two investments, we need to add both interests at the end of the one year: I1 = x (0.04) (1) = 0.04 x   and   I2 = y (0.08) (1) = 0.08 y

Total Interest = Interest (from the 4% account) + Interest (from the 8% account)

Total Interest = $1160 = 0.04 x +  0.08 y

we also know that the total invested (x + y) adds to $19,000, that is:

$19,000 = x + y

Then we can solve these system of two equations by substitution, for example solving for y in the second equation and using the y substitution in the first equation;

y = 19000 - x

1160 = 0.04 x + 0.08 (19000 - x)

1160 = 0.04 x + 1520 - 0.08 x

0.08 x - 0.04 x = 1520 - 1160

0.04 x = 360

x = 360/0.04 = $9000

Then the other investment was : y = $19000 - $9000 = $10000

The result of engaging in the row multiplication operation in a matrix would be [ 1 /2   0 | 3 / 4 ]

[ -1   5 | 4 ].

First, you should multiply the first row by the value given of 1 / 4 to be:

( 1 / 4 ) x 2 = 1 / 2

( 1 / 4 ) x 0 = 0

( 1 / 4 ) x 3 = 3 / 4

Then you can replace the values found by the values in the matrix to be :

[ 1 / 2   0 | 3 / 4 ]

[   - 1     5 | 4      ]

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Answer:

what is the question?

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

Total scores = 6*90 = 540.

He had more than one 89 ( mode) and max score - min score = 18.

Let max score = x then min = x-18.

Lets say he has 3 89's then

x +  x - 18 + 3*89 + y  = 540  where y is another score then:

2x + 249 + y = 540

2x + y =  291

x = 98 and y = 95 will fit this so the 6 scores could be

80, 89, 89, 89, 95, 98.

Answer:

67m²

Step-by-step explanation:

12m + 6m + 4m + 36 m 8m = 67m²

The possible values of the random variable T are 0, 1, and 2.

The probability of an event is a number that indicates how likely the event is to occur and is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%.

When two coins are tossed, the possible outcomes are:

Two heads (HH)

One head and one tail (HT)

One tail and one head (TH)

Two tails (TT)

If both coins land heads up, T = 0.

If one coin lands heads up and the other lands tails up, T = 1.

If both coins land tails up, T = 2.

In conclusion, the possible values of the random variable T are 0, 1, and 2.

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Answer:

47 miles per hour

Step-by-step explanation:

The average rate of speed is the miles divided by the hours

141 miles / 3 hours

47 miles per hour

Answer:

47

Step-by-step explanation:

141 / 3

The approximate surface area of the package is approximately 245.05 square inches.

The best model for the package is a cylinder.

To calculate the approximate surface area of the package, we need to find the lateral surface area of the cylinder and the area of the circular base.

The lateral surface area of a cylinder can be calculated using the formula:

Lateral Surface Area = 2πrh

where r is the radius of the base and h is the height.

The area of the circular base can be calculated using the formula:

Area of Base = \(πr^2\)

Given that the diameter of the bottom is 9 inches, the radius (r) would be half of that, which is 4.5 inches.

Using the given height of 13 inches, we can now calculate the surface area:

Lateral Surface Area = 2πrh = 2π(4.5)(13) ≈ 117.81 square inches

Area of Base = \(πr^2 = π(4.5)^2 ≈ 63.62\) square inches

To find the total surface area, we add the lateral surface area and the area of the base:

Total Surface Area = Lateral Surface Area + 2 × Area of Base = 117.81 + (2 × 63.62) ≈ 245.05 square inches

Therefore, the approximate surface area of the package is approximately 245.05 square inches.

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Answer:

Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time

Answer:

11 feet every minute

Step-by-step explanation:

We first need to figure out how far you traveled up.

240 - 130 = 110

Now, we can solve for the average rate of elevation.

If you travel 110 feet in 10 minutes, we can do this equation:

110 ÷ 10 = 11

The average change of elevation, every minute, was 11.

Answer:

Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day

Step-by-step explanation:

To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.

Let's calculate his average time per day:

Average time per day = Total time / Number of days

Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:

Average time per day = 6 hours / 5

Average time per day = 1.2 hours per day

To convert hours to minutes, we'll multiply the average time per day by 60:

Average time per day = 1.2 hours * 60 minutes

Average time per day = 72 minutes per day

Therefore, Clarence's average time per day is 72 minutes.

Answer:

I don't know if you still need an answer but- here ya go :)

a. -22 + 5 = -17

b. -22 - (-5) = -22 + 5 = -17

c. (-22)(-5) = 110

d. (-22) / 5 = -4.4