Sonny works as a furniture salesman and earns a base salary of $350 per week plus 6% commission on sales. What was Sonny’s commission if his total sales were $3750? ( the answer is NOT ''575')

The most reasonable temperature for a snowy day is given as follows:

C. -6°C

Considering that it snows, the temperature is either negative or very low positive, as snow only happens on temperatures close to freezing (like 2º C) or negative.

17ºC and 26ºC are far from cold enough to generate snow, hence the most reasonable temperature for a snowy day is given as follows:

C. -6°C

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Answer:

Expected value: $5.20

Step-by-step explanation:

2(0.35)+4(0.2)+6(0.1)+8(0.2)+10(0.15)=5.2, so you can expect to win $5.20 in this game.

Answer:

5.20 is the answer for Acellus it works

Step-by-step explanation:

The quotient of x⁴ - 3x³ + 9x + 6 ÷ x + 1  using synthetic division is x³ +  2x² - 2x  + 7  and the remainder is 13

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

x⁴ - 3x³ + 9x + 6 ÷ x + 1

The synthetic set up is

-1  |   1  3  0   9   6

    |__________

Bring down the first coefficient, which is 1 and repeat the process

-1  |   1  3  0   9   6

    |__-1_-2_-2_7____

       1  2  -2  7  13

This means that the quotient is

x³ +  2x² - 2x  + 7  

And the remainder is 13

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Complete question

Find the quotient and remainder using synthetic division.

x^4-3x^3+9x+6/x+1

The quotient is

The remainder is

Answer:

Step-by-step explanation:

To use synthetic division, we need to set up the coefficients of the dividend polynomial in decreasing order of powers of x, including any missing terms with zero coefficients.

So we have:

Dividend: x^4 - 3x^3 + 9x + 6

Divisor: x + 1

We can represent the divisor as (x + 1) and set up the synthetic division table as follows:

-1 | 1 -3 9 0 6

| -1 4 -13 13

|___________________

| 1 -4 13 -13 19

The numbers on the first row of the table are the coefficients of the dividend polynomial in decreasing order of powers of x. The -1 on the left of the table is the opposite of the divisor, x + 1.

The first number in the second row is always 0, and we get it by bringing down the first coefficient, which is 1. To get the next number in the second row, we multiply the divisor, -1, by 1, and add the result to the second coefficient, which is -3. This gives us -1 x -3 = 3, which we write under -3 in the first row.

We repeat this process for the next numbers in the second row, always multiplying the divisor by the last number in the second row, and adding the result to the next coefficient in the first row. We continue until we reach the last coefficient in the first row.

The last number in the second row, 13, is the remainder of the division. The other numbers in the second row are the coefficients of the quotient polynomial in decreasing order of powers of x. So the quotient is:

x^3 - 4x^2 + 13x - 13

And the remainder is:

13

Therefore, the quotient is x^3 - 4x^2 + 13x - 13, and the remainder is 13.

For binomial probability mass function formula and compound interest formula, These both involve the use of exponents, they are not otherwise related to each other in any significant way.

What is Compound interest?

Compound interest is the interest that is earned not only on the initial principal amount of an investment, but also on any interest that has accumulated over time. In other words, it is interest that is "compounded" or added to the principal amount at specific intervals, such as daily, monthly, quarterly, or annually.

Now,

The binomial probability mass function formula and the compound interest formula are not directly related to each other, as they are used to model different types of phenomena.

The binomial probability mass function is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent trials, where each trial has two possible outcomes (success or failure) and the probability is same. The binomial probability mass function is

P(x) = pˣ (1-p)ⁿ⁻ˣ

where X is the number of successes, k is the specific number of successes we are interested in, n is the total number of trials, p is the probability of success on each trial, and represents the binomial coefficient.

The compound interest formula, on the other hand, is used to calculate the value of an investment over time, assuming a fixed interest rate and compounding periods. The future value is

FV = PV x (1 + r/n)ⁿˣ

where FV is the future value of the investment, PV is the present value of the investment, r is the interest rate (expressed as a decimal), n = number of times interest is compounded per year, and x = number of years.

While both formulas involve the use of exponents, they are not otherwise related to each other in any significant way.

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The binomial probability mass function formula and the compound interest formula are not directly related to each other.

The binomial probability mass function formula is used to calculate the probability of observing a certain number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant across all trials. The formula is:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where X is the random variable representing the number of successes, k is the number of successes we want to observe, n is the total number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

On the other hand, the compound interest formula is used to calculate the value of an investment that earns a fixed interest rate over a certain period of time, assuming that the interest is compounded at regular intervals. The formula is:

A = P * (1 + r/n)^(nt)

where A is the final amount of the investment, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, t is the number of years, and (1 + r/n)^(nt) represents the growth factor of the investment.

While both formulas involve exponents and use the terms (1 - p) and (1 + r/n), they are fundamentally different in their purpose and application.

The coordinates of vertex D in the parallelogram are (-7, -10).

We have,

To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.

One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.

Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:

Find the vector representing one of the sides of the parallelogram.

We can use the vector AB.

Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)

= (6 - 8, -4 - 2)

= (-2, -6)

Add this vector to point C to find the coordinates of D.

Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)

= (-5 - 2, -4 - 6)

= (-7, -10)

Therefore,

The coordinates of vertex D are (-7, -10).

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Answer: 0.000000137

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

=-26

Step-by-step explanation:

f(n) = 7n – 5

Let n = -3

f(-3) = 7*(-3) – 5

Multiply first

     = -21-5

     =-26

Answer:

27 tourists didn't visit those theme parks

Step-by-step explanation:

Add them all together and the sum will be 1068. Now take 1095 and subtract that 1068. The answer will be 27, meaning 27 tourists didn't go to those parks.

Answer:

\(2(w-8)=9\)

Step-by-step explanation:

N/A

The distance from the electrician to the satellite dish is approximately 9.238 meters when rounded to the nearest whole number, which is 9 meters.

To calculate the distance from the electrician to the satellite dish, we can use trigonometry and the concept of the angle of depression.

The angle of depression is the angle formed between the line of sight from the observer (electrician) to the object (satellite dish) and a horizontal line. In this case, the angle of depression is 60°.

Given that the vertical pole is 16 m high, we can consider it as the opposite side of a right triangle. The distance from the electrician to the satellite dish will be the adjacent side of the triangle.

Using the tangent function, which is defined as the opposite side divided by the adjacent side:

tan(60°) = opposite/adjacent

tan(60°) = 16/adjacent

We can rearrange the equation to solve for the adjacent side:

adjacent = 16 / tan(60°)

adjacent ≈ 16 / 1.732

adjacent ≈ 9.238

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No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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26 is the value of a from the given figure.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We need to find the value of a from the figure.

∠D is 46 degrees.

AD is 28, AT is 37

CosD=Adjacent side/ Hypotenuse

Cos46=a/37

0.695=a/37

a=0.697×37

a=26

Hence, the value of a is 26

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If there are 5 numbers in the list then we can make 60, 3 digit numbers by choosing three different numbers.

Given that there are 5 numbers in the list and different numbers have been chosen.

We are required to find the numbers of 3 digit numbers that Robert could make.

Because 3 different numbers are to be chosen from 5 numbers of the list, the total numbers of 3 digit numbers could be made by Robert =5*4*3

=60 numbers

Hence if there are 5 numbers in the list then we can make 60, 3 digit numbers by choosing three different numbers.

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Answer: The description of that transformation is the triangle is rotated 90 degrees clockwise. Then, it's moved to the right TWICE. Finally, you go down 2 times.

Step-by-step explanation:

Hope this helps :)

triangle B is in dofferent orientation from triangle B so we know it was either mirrored or rotated. Triangle B isnt in the exact opposite orientation as A so we know it wasnt mirrored. So we now know that it was rotated and know we have to find the point of rotation. we can tell that the rotation was 270 degrees anti clockwise since it cant be clockwise because no points of rotation match. since we know triangle A was rotated 270 degrees anti clockwise to get triangle B we cant find the point of rotation by seeing which point works and if we test the points we will see that (0;-1) is the point of rotation. So triangle A was rotated 270 degrees anti clockwise on the point (0;-1) to make triangle B

Answer:

2,535,008

two million , five hundred thirty five thousand, eight

The equation to the line is y = -9x + 53.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line is y = mx + c.

The line is perpendicular to the line through the points (-45, -5) and

(-90, 0).

This means,

m = (0 + 5) / (-90 + 45) = 5/45 = 1/9

Now,

y = mx + c

m x 1/9 = -1

m = -9

Now,

The equation to the line that passes through (3,26).

(3, 26) = (x, y)

m = -9

So,

26 = -9 x 3 + c

26 = -27 + c

c = 26 + 27

c = 53

So,

y = -9x + 53

Thus,

The equation to the line is y = -9x + 53.

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Answer:

A.

A math error was made when computing the total shipments for day 4.

The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

Given that (5*x) mod 91 =32.

To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.

Consider  (5*x) mod 91 =32.

5x = 32(mod 91)

Apply the Euclidean algorithm to find GCD of 5 and 91 is

91 = 18 * 5 + 1.

Rewrite it in congruence form,

1 = 91 - 18 *5

On simplifying the equation,

1 = 91 (mod 5)

The modular inverse of 5 modulo 91 is 18.

Multiply equation by 18 on both sides,

90x = 576 (mod91)

To obtain the smallest positive  solution,

91:576 = 6 (mod 91)

Divide both sides by the coefficient of x:

x = 6 * 90^(-1).

Apply the Euclidean algorithm,

91 = 1*90 + 1.

Simplify the equation,

1 + 1 mod (90)

The modular inverse of 90 modulo 91 is 1.

Substitute the modular inverse in the given question gives,

x = 6*1(mod 91)

x= 6 (mod91)

Therefore, the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

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Answer:

1.) ax2+Bx+c

2.) parabola

3.) I don't know

4.) I don't know

5.) maximum

6.) minimum

7/8)  The solutions of a quadratic equation are also called roots, zeroes, and x -intercepts.

I hope this kinda helped.

Answer:

1.) ax2+Bx+c

2.) parabola

3.) I don't know

4.) I don't know

5.) maximum

6.) minimum

7/8)  The solutions of a quadratic equation are also called roots, zeroes, and x -intercepts.

I hope this kinda helped.

Answer:

c = -a/4 + b + 11/4

Step-by-step explanation:

Solve for c:

a = -4 c + 4 b + 11

a = -4 c + 4 b + 11 is equivalent to -4 c + 4 b + 11 = a:

-4 c + 4 b + 11 = a

Subtract 4 b + 11 from both sides:

-4 c = a + (-4 b - 11)

Divide both sides by -4:

Answer:  c = -a/4 + b + 11/4

Answer:

D

Step-by-step explanation:

The greatest common factor of 12 and 24 is 12. The only option which accounts for this is D.

Answer:

If both sides of an inequality are multiplied or divided by the same positive value, the resulting inequality is true.

Step-by-step explanation:

The inequality is true when the value of n is 12 would be; n ≤ 12.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

We are given that  the value of n is 12.

Then the inequality would be;

n ≤ 12

If both sides of an inequality are multiplied or divided by the same positive value, then the resulting inequality is true.

Therefore, the inequality is true when the value of n is 12 would be; n ≤ 12.

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Answer:

M = 1/8t - 223.05

Step-by-step explanation:

To show that the point (å, ä) is on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ), we need to demonstrate two things: that the point lies on the line segment, and that it is equidistant from the endpoints.

1. Determine the midpoint of the line segment:

  - The midpoint coordinates (\(x_{mid, y_{mid\)) can be found using the midpoint formula:

    \(x_{mid\) = (x1 + x2) / 2 and \(y_mid\) = (y1 + y2) / 2, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

    In this case, we have (x1, y1) = (Ů, ü) and (x2, y2) = (ĝ, ġ).

2. Calculate the midpoint coordinates:

  - Substitute the values into the midpoint formula to find (x_mid, y_mid).

3. Find the slope of the line segment:

  - Use the slope formula: slope = (y2 - y1) / (x2 - x1).

    Apply the formula to the endpoints (Ů, ü) and (ĝ, ġ) to determine the slope of the line segment.

4. Determine the negative reciprocal of the line segment's slope:

  - Take the negative reciprocal of the slope calculated in the previous step. The negative reciprocal of a slope m is -1/m.

5. Write the equation of the perpendicular bisector:

  - Using the negative reciprocal slope and the midpoint coordinates (\(x_{mid\), \(y_{mid\)), write the equation of the perpendicular bisector in point-slope form: y - \(y_{mid\) = \(m_{perp\) * (x - \(x_{mid\)), where \(m_{perp\) is the negative reciprocal slope.

6. Substitute the point (å, ä) into the equation:

  - Replace x and y in the equation of the perpendicular bisector with the coordinates of the point (å, ä). Simplify the equation.

7. Verify that the equation holds true:

  - If the equation is satisfied when substituting (å, ä), then the point lies on the perpendicular bisector.

By following these steps, you can demonstrate that the point (å, ä) lies on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ).

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The coordinates of the fourth vertex is (1,-8).

As three of a parallelogram's vertices, we were given:

(3,-2), (-1,-4), (5,-6). (5,-6).

We see that (3,-2) and (-1,-4) form a diagonal after charting the points as in the attachment.

The midpoint formula determines what point on this diagonal is in the middle.

Keep in mind that both diagonals' midpoints are identical.

Specify the coordinates of the fourth point (x,y).

As a result of once more applying the midpoint formula to (3, -2), we get:

x=1 and y=-8

The fourth point's locational details are as follows:

(1,-8).

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The complete question is,

A good can be produced for a total cost of 600 or 850 when making 100 units and 150 units, respectively. Discover an equation for TC in terms of Q, the number of generated units, presuming that the total cost function is linear.

Answer:

-3, -3

Step-by-step explanation:

It would just be the opposite of the point(look at it as a mirror).

Hope this helps! :)

#10. In order to find a ratio, all we need to do is set up a simple equation and then cross-multiply!

I'll show you !

In this case, we'll take the already established ration (14 : 8 ) and find the equivalent ratio where 7 is in place of 14 (7: x)

x will be the other table value we are looking for!

Now let's set up the equation and cross-multiply!

\(\frac{14}{8} = \frac{7}{x}\)

cross multiply 14 and x, then 8 and 7

We get:  14x = 56

solve to find x!

x = 56/14

x = 4 blankets

Now let's use the ratio 7: 4 to find what goes with 16 in the table!

\(\frac{7}{4} = \frac{x}{16}\)

4x = 112

x = 112/4

x = 28 towels

_________________________________________________-

#11. : Using the same method, I'll fill in the values of the table on #11

16 forks, 10 spoons

8 forks, 5 spoons,

48 forks, 30 spoons

_____________________________________________

#12. If the neighbor pays you $17 for every 2 hours of work, we need to find how many times 2 hours goes in 8 hours of work

We do this by dividing

8/2 = 4 times

2 hours of work goes into 8, 4 times!

Now we multiply 4 by $17 to find how much your neighbor owes you!

$17 × 4 = $68

Your neighbor owes you $68 !!!