The Stock Market Nadia is a stockbroker. She earns 14% commission each week. Last week,
she sold $5,400 worth of stocks. How much did she make last week in commission? If she
averages that same amount each week, how much did she make in commission in 2011?

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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Answered By Benjemin ☺️.

Please check the attached answers of image.

The equation of the tangent line to the function y = sin(x 2 ) at the point x = π/6 is given by y = sin(π/3) - (2cos(π/3))(x - π/6). To arrive at this equation, we first need to find the derivative of the function y = sin(x 2 ) which is given by y' = 2cos(x 2 ).

Now, when x = π/6, we can substitute that value into the derivative to get: y' = 2cos(π/3). This is the slope of the tangent line at x = π/6.

To find the equation of the tangent line, we need to use the point-slope formula. Letting (x1, y1) = (π/6, sin(π/3)), we have the equation of the tangent line as:

y - y1 = m(x - x1)

Substituting in the slope and point, we get:

y - sin(π/3) = 2cos(π/3)(x - π/6)

Simplifying the equation gives us the desired result:

y = sin(π/3) - (2cos(π/3))(x - π/6)

This is the equation of the tangent line to the function y = sin(x 2 ) at x = π/6.

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To find the partial derivative of z with respect to x, we need to differentiate the equation f(x,y) with respect to x while treating y as a constant. Using the formal definition of the partial derivative, we have:

∂z/∂x = lim(h→0) [f(x+h,y) - f(x,y)]/h
= lim(h→0) [(12(x+h)² - 9(x+h)y + 16y²) - (12x² - 9xy + 16y²)]/h
= lim(h→0) [24xh + 12h² - 9yh]/h
= lim(h→0) (24x + 12h - 9y)
= 24x - 9y

Similarly, to find the partial derivative of z with respect to y, we differentiate the equation with respect to y while treating x as a constant:

∂z/∂y = lim(k→0) [f(x,y+k) - f(x,y)]/k
= lim(k→0) [12x² - 9x(y+k) + 16(y+k)² - (12x² - 9xy + 16y²)]/k
= lim(k→0) (32k - 9x)
= -9x

Therefore, the partial derivatives of z with respect to x and y are:

∂z/∂x = 24x - 9y
∂z/∂y = -9x

This is the explanation for finding the partial derivatives of z with respect to x and y using the formal definition of the partial derivative. The derivative is a measure of the rate at which a function changes with respect to its input variables, while an equation is a statement that two expressions are equal. In this case, we used an equation to represent a function of two variables and found its partial derivatives with respect to each variable using the formal definition of the partial derivative.

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The scale factor of 10cm to 5m is 50.

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

For example ,if a length of 5cm is doubled and it gives a length 10cm, the scale factor is 10/5 = 2. This means that we can express scale factor with a formula;

scale factor = new dimension / old dimension

Here, the old dimension is 10cm and the new dimension is 5m. We need to convert the 5m into cm

therefore 5m = 5× 100 = 500cm

therefore scale factor = 500/10 = 50

This means the scale factor of 10cm = 5m is 50

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Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

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

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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6*1/5 as a percent is 62%.

6*1/5 is a mixed fraction.

Mixed fraction is a combination of whole number multiplied by proper fraction.

Convert mixed fraction into improper fraction.

For that multiply denominator to whole number and add to numerator it is taken as numerator and write the denominator as it is.

  =(6*5+1)/5

  =31/5

Convert improper fraction into percentage.

Multipy with 100

=(31/5)*100

=62%

Therefore, 6*1/5 as a percent is 62%.

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Answer:

C) x = −5 and x = 1

Step-by-step explanation:

I took the test and I got it right

The solutions to the quadratic equation \(4(x + 2)^2 = 36\) are as x = -5 and x = 1.

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0

This solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

We have the given quadratic equation

\(4(x + 2)^2 = 36\)

solving for x

\(4(x + 2)^2 = 36\\\\(x + 2)^2 = 36/4\\\\(x + 2)^2 = 9\\\\(x + 2)^2 = 3^2\\\\(x + 2) = 3\\\\x = 1\\or \\\\x + 2 = -3\\\\x = -5\)

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Answer:

(x+3)(4x−2)  =  4x2+10x−6

(x+2)(x2−3x +4) = x3−x2−2x+8

Step-by-step explanation:

The length of line segment (10.8, -5.3) and (-15.6, -5.3) is 26.4

since both points lie on the same horizontal line (same y-coordinate), we can record the detour using the Pythagorean approximation. to get the distance we just need to look at the difference in x-coordinates:

10.8 - (-15.6 )= 10.8 +15.6 = 26.4

A segment is bounded by two distinct points on a line. Or we can say that a line segment is a part of a line that connects two points. A straight line has no endpoints and extends indefinitely in both directions, but a  segment has two fixed or specified endpoints. The difference between a  segment and a ray is that a ray has only one end point and one end extends to infinity. Section with two endpoints A and B and marked with a bar symbol (-)

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Answer: the one for 3b (8) + (-2)(7c) ; for b= 2, c= 3 is

6

Step-by-step explanation:

3b(8)+(-2)(7c)

3(2)(8)+(-2)(7)(3)

(6)(8)+(-14)(3)

48-42

6

Answer:A

Step-by-step explanation:

Answer:

coefficients are the number attached to the variables :75d+8w+25

75 , 8 and the constant is 25. the variables are d and w

if he works for 5 days(d) and installed 48 windows(w)

75 d + 8 w+25

75(5)+8(48)+25= 784 dollars

if Javier get increase of 40 dollars for snack, only the constant  change, because the coefficient depends on work days and the number of windows installed, and since only the increase in his stipend, therefor the increase will be the constant value only.

Answer:

C

Step-by-step explanation:

I hope this helps you out!

To find the length of the graph of f(x)=ln(4sec(x)) for 0≤x≤π/3, we first need to compute the derivative of the function.

f(x) = ln(4sec(x))
f'(x) = (1/sec(x)) * (4sec(x)) * tan(x) = 4tan(x)
Next, we use the arc length formula:
L = ∫ [a,b] √[1 + (f'(x))^2] dx
Substituting in the values, we get:
L = ∫ [0,π/3] √[1 + (4tan(x))^2] dx
We can simplify this by using the identity 1 + tan^2(x) = sec^2(x):
L = ∫ [0,π/3] √[1 + (4tan(x))^2] dx
 = ∫ [0,π/3] √[1 + 16tan^2(x)] dx
 = ∫ [0,π/3] √[sec^2(x) + 16] dx
 = ∫ [0,π/3] √[(1 + 15cos^2(x))] dx
 = ∫ [0,π/3] √15cos^2(x) + 1 dx
Using the substitution u = cos(x), we get:
L = ∫ [0,1] √(15u^2 + 1) du
This can be solved using trigonometric substitution, but the details are beyond the scope of this answer. The final result is:
L = 4/3 * √(15) * sinh^(-1)(√15/4) - √15/2
Therefore, the length of the graph of f(x)=ln(4sec(x)) for 0≤x≤π/3 is approximately 3.195 units.

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Answer:

\(a=10\)

Step-by-step explanation:

This problem can be solved in a ridiculous number of ways. However, it is likely introduced as a special-triangle problem in this question, because 4 pieces of information are given opposed to the necessary 3 to solve the triangle.

Special Right Triangles:

In any 30-60-90 triangle, all sides are in the proportion \(x:x\sqrt{3}:2x\), where \(2x\) is the hypotenuse and \(x\) is the side opposite to the 30 degree angle. Since we notice that the side we're solving for is directly opposite to the 30 degree angle, we know that the side marked \(10\sqrt{3}\) must be \(x\sqrt{3}\) and therefore we have \(a=\boxed{10}\)

The first 3 terms of the sequence are 21, 24 and 29

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

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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Answer:

6^3=6×6×6=216. So, the answer is 6x6x6 and 216.

Answer:

6x6x6, 3x3x3x3x3x3, 216

Step-by-step explanation:

6 to the third power is 6 times 6 times 6, also it's equal to 3 to the sixth power, also it's equal to 216.

Answer:

-22

Step-by-step explanation:

The option that satisfies the principle of homogeneity is If x(t) = u(t), then y(t) = \(2e^(^-^t^)\). Hence the correct option is D.

To determine if the system satisfies the principle of homogeneity, we need to check if scaling the input signal by a constant factor results in scaling the output signal by the same factor.

Provided:

Input signal x(t) = 8u(t)

Output signal y(t) = 4e^(-t)

Let's check the options:

A. if x(t) = u(t), then y(t) = \(4e^(^-^t^)\)

This is not consistent with the provided output signal y(t) = \(4e^(^-^t^)\), which does not match the output for x(t) = u(t).

B. if x(t) = u(t), then y(t) = \(0.5e^(^-^t^)\)

This is not consistent with the provided output signal y(t) = \(4e^(^-^t^)\), as the scaling factor of 0.5 does not match.

C. if x(t) = u(t), then y(t) = \(32e^(^-^t^)\)

This is not consistent with the provided output signal y(t) = \(4e^(^-^t^)\), as the scaling factor of 32 does not match.

D. if x(t) = u(t), then y(t) = \(2e^(^-^t^)\)

This is consistent with the provided output signal y(t) = \(4e^(^-^t^)\) if we consider a scaling factor of 0.5 (which is equivalent to multiplying the original output by 0.5).

Therefore, the correct option is D. If x(t) = u(t), then y(t) = 2e^(-t) satisfies the principle of homogeneity.

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ANSWER

• A = 55.5°

• B = 45.5°

• C = 79.1°

EXPLANATION

The lengths of the three sides of a triangle are given. We have to use the Law of Cosines to find the measures of the interior angles,

Solving each of the equations above for the angles, A, B, and C, we can find their measures,

Replace the known values and solve,

Repeat for angle B,

And for angle C,

Hence, the three interior angles of this triangle, rounded to the nearest tenth of a degree, are:

• A = 55.5°

• B = 45.5°

• C = 79.1°

In this case, with 500 defects and a sample size of 40 units of output, the center line would be 12.5 defects per unit of output.

To determine the center line for monitoring the average number of defects per unit of output, we divide the total number of defects by the sample size. In this scenario, the sample consists of 40 units of output, and there are 500 defects.

Therefore, the center line would be calculated as 500 defects divided by 40 units of output, resulting in an average of 12.5 defects per unit of output. This center line serves as a reference point for monitoring and comparing future defect rates.

If the average number of defects per unit of output exceeds this center line, it may indicate a need for process improvements or corrective actions.

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Answer:

196

Step-by-step explanation:

The property that justifies the work between Step 2 and Step 3 is the subtraction property of inequality.

The correct option is B.

An Inequality is a mathematical statement formed when two algebraic expressions are equated by an inequality operator.

The inequality  2(x – 3) > x+ 9 is solved in the manner to solve for x

Step 2 : 2x-6 > x+9 (distributive property of inequality)

              2x -6 -x > x+9 -x  ( subtraction property of inequality)

Step 3 : x-6 >9

Step 4: x>15

Therefore, the property that justifies the work between Step 2 and Step 3 is subtraction property of inequality.

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Answer:

the last option

Step-by-step explanation:

a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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Answer:

$65.475 ($65.48 rounded)

Step-by-step explanation:

The word "per" is usually a trigger-word for multiplication. So, we multiply.

\(14.55 * 4.5\)

Answer:

4c-20= 4

+20  +20

4c= 24

/4 /4

c= 6

Answer:

c = 1 btw can i be brainiest...

Step-by-step explanation:

First, rewrite the left side of the equation and group and combine like terms:

c + (4 − 3c) − 2 = 0

c + 4 − 3c − 2 = 0

−3c + c + 4 − 2 = 0

−3c + 1c + 4 − 2 = 0

(−3 + 1) c + (4 - 2) = 0

−2c + 2 = 0

Next, subtract

2

from each side of the equation to isolate the

c

term while keeping the equation balanced:

−2c + 2 − 2 = 0

−2 − 2c + 0 = −2

−2c = −2

Now, divide each side of the equation by

−2

to solve for

c

while keeping the equation balanced:

−2c - 2 = −2 − 2

−2c − 2 = 1

c = 1

Answer:

2x=y

Step-by-step explanation: