Linda is a stockbroker. She earns 14% commission each week. Last week, she sold $4,500 worth of stocks. This means last week she made $630 in commission. If she averages that same amount each week, how much did she make in commission in 2011?
I need help with this! I would greatly appreciate the assistance!

The graph of the feasible region is attached

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

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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The approximate lateral area of the cone is equal to 200.96 cm².

Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:

Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)

Where

Mathematically, the area of a circle can be calculated by using this formula:

Area of a circular base = πr²

16π = πr²

Radius, r = √16

Radius, r = 4 cm.

Substituting the given parameters into the lateral area of a cone formula, we have the following;

Lateral surface area of a cone, LSA = πrl = πr4(r)

Lateral surface area of a cone, LSA = 3.14 × 4 × 16

Lateral surface area of a cone, LSA = 200.96 cm².

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Answer:

201 beause you are rounding to the nearest whole number

Step-by-step explanation:

Answer:

ugiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiigygyu

Step-by-step explanation:

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.

We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:

r² = x² + y²

r² = (-3)² + 4²

r² = 9 + 16

r² = 25

r = 5

Now we can find the values of sin θ, csc θ, and cot θ:

sin θ = y/r = 4/5

csc θ = r/y = 5/4

cot θ = x/y = -3/4

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.

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Answer:

10

Step-by-step explanation:

Anything greater than 9.49 would be rounded to 10, if it were 9.49, it would be rounded to 9. But only look at the numbers after the decimal.

i.e. ;

7.23 = 7

3.33 = 3

8.89 = 9

14.56 = 15

26.91 = 27

Answer:

x=34    y=-87     (34,-87)

Step-by-step explanation:

3x+y=15              rewrite to solve for y  ----->    y=15-3x

5x+2y=-4

Plug y=15-3x into 5x+2y=-4

So, 5x+2 (15-3x)=-4

Distribute: 5x+30-6x=-4

Combine like terms: 30-x=-4

Solve for x   -x=-34

Solve for x   x=34

Then, to solve for y, plug "x" into 3x+y=15

So, 3(34)+y=15

Distribute: 102+y=15

Solve for y  y=-87

Answer:

slope = 3/1 or 3

Step-by-step explanation:

Using the rise and run method we see the line rises up 3 and runs sideways 1 unit.

This means that the slope is 3/1 or 3

If you continue along the line this pattern will continue

Hope this helps :)

Answer:

The slope is 3/1

Step-by-step explanation:

The slope is 3 over 1 because the line moves the right by 1 unit and moves up by 3 units.

The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

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Answer:

28/10

14/5

3 - 1/5

Step-by-step explanation:

28/10

14/5

3 - 1/5

The whole numbers to make 2.8 in three different ways are 28/10,14/5, 3 - 1/5.

An entire quantity is an absolutely any high-quality wide variety that does not encompass a fractional or decimal component. because of this, as an example, the numbers 0, 1, 2, three, 4, 5, 6, and 7 are all whole numbers. Numbers that include -three, 2.7, or 3 ½ aren't whole numbers.

The complete numbers are a set of real numbers that consist of 0 and all superb counting numbers. while, excludes fractions, negative integers, fractions, and decimals. when you consider that, 1 is a positive integer and is a counting number. therefore, it is taken into consideration to be a whole wide variety.

sure, 0 is a rational variety. because we understand, a rational number may be expressed as p/q, in which p and q are integers and q isn't equal to 0. for this reason, we will explicit zero as p/q, wherein p is identical to zero and q is an integer.

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Answer:

D. $10,909.09

Step-by-step explanation:

The class recovery period for residential rental property each year = 27.5 years

The cost basis for the residential property = $300,000

The amount he will be able to depreciate

= Cost basis/ Number of years

= $300000/ 27.5 years

=$10, 909.090909

Approximately ≈ $10,909.09

The amount he will be able to depreciate  using the class recovery period for residential rental property each year is: D. $10,909.09.

Using this formula

Depreciation=Rental unit amount/ MACRS residential rental property recovery period

Where:

Rental unit amount=$300,000

MACRS Residential rental property recovery period=27.5 years

Let plug in the formula

Depreciation=$300,000/27.5

Depreciation=$10,909.09

Inconclusion the amount he will be able to depreciate  using the class recovery period for residential rental property each year is: D. $10,909.09.

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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The probability that two cards will be drawn at random, without replacement, is 13/18.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application.

Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

According to our answer-

P(at least 1 green) = 1 - P(no green)

P(no green) = draw yellow on both draws

= P(draw yellow on 1st draw) * P( draw yellow on 2nd draw, given draw yellow on 1st draw)

= 5/9 * 4/8 = 20/72 = 5/18

P(at least 1 green) = 1 - 5/18

= 13/18

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Answer:

13

Step-by-step explanation:

cos 13 x 2 = 26

13 is a factor that is more than 4 and less then 26

The factor of the number 26 that is between 4 and 26 is 13. Factors are the numbers that can divide into a number without leaving a remainder. In this case, the factors of 26 are 1, 2, 13, and 26.

In mathematics, a factor of a number is a number that divides into another number without leaving a remainder. In the case of the number 26, its factors include 1, 2, 13, and 26. The factor of 26 that is between 4 and 26 is 13.

To find this, you can go through the factors of 26 one by one. The factors are found by dividing 26 by all the numbers up to 26, and the numbers that give a remainder of 0 are the factors. In this case, 1, 2, 13, and 26 divide evenly into 26, and so are the factors of 26. Of these, only 13 lies between 4 and 26.

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Answer:

90

Step-by-step explanation:

the perimeter is the sum of all side .. therefore 360 divided by 4 because the square has 4 sides so equivalent to 90

Answer:

0.218258lbs

Step-by-step explanation:

One gram is 0.00220462lbs. We can use multiplication to solve this problem... or a conversion calculator. For multiplication, simply multiply 0.00220462 by 99 and round if necessary.

-12 will be the term for y

Let us suppose that x= 0

then we will get

3y + 4 = x

and then it will be

3y+ 4 = 0

Now, we will move 4 to the right hand side and it being positive this side will become negative on right hand side

3y= -4

now,

3y = 1/4

y = 1/[4*3]

y=1/12

y= - 12

Hence the answer will be y= -12

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The graph of the quadratic function y = -6x² + 1 is given by the image presented at the end of the answer.

The parent quadratic function is given as follows:

y = x².

The transformed quadratic function is given as follows:

y = -6x² + 1.

The transformations are given as follows:

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When we have similar triangles, we can say that all of the corresponding sides of each of the triangles are in proportion. Then we can say that:

Since we have that the measure of sides AB and RS, we can obtain the ratio between these sides - which is, at the same time, the scale factor of triangle ABC to triangle RST:

Therefore, the sides of the triangle ABC are 3 times greater than the sides of the triangle RST.

In summary, therefore, we can say that the scale factor of ∆ABC to ∆RST is 3. In other words, ∆ABC is 3 times greater than ∆RST, or we can say that we need to multiply the sides of ∆RST by 3 to obtain the sides of ∆ABC.

[We can also say that we need to multiply the sides of ∆ABC by 1/3 to obtain the sides of ∆RST.]

There are no solutions to the system of inequalities Option (d)

Inequalities are a fundamental concept in mathematics and are commonly used in solving problems that involve ranges of values.

A system of two inequalities is a set of two inequalities that are considered together. In this case, the system of inequalities is

y > 3x + 1

y < 3x - 3

The inequality y > 3x + 1 represents a line on the coordinate plane with a slope of 3 and a y-intercept of 1. The inequality y < 3x - 3 represents another line on the coordinate plane with a slope of 3 and a y-intercept of -3. We can draw these lines on the coordinate plane and shade the regions that satisfy each inequality.

The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

We can start by analyzing the inequality y > 3x + 1. This inequality represents the region above the line with a slope of 3 and a y-intercept of 1. Therefore, any point that is above this line satisfies this inequality.

Next, we analyze the inequality y < 3x - 3. This inequality represents the region below the line with a slope of 3 and a y-intercept of -3. Therefore, any point that is below this line satisfies this inequality.

To determine which values satisfy both inequalities, we need to find the region that satisfies both inequalities. This region is the intersection of the regions that satisfy each inequality.

When we analyze the regions that satisfy each inequality, we see that there is no region that satisfies both inequalities. Therefore, there are no values that satisfy the system of inequalities shown.

There are no solutions to the system of inequalities y > 3x + 1 and y < 3x - 3 by analyzing the regions that satisfy each inequality on a coordinate plane. The lack of a solution is determined by the fact that there is no region that satisfies both inequalities.

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Complete Question :

Which is true about the solution to the system of inequalities shown?

y > 3x + 1

y < 3x – 3

On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

Options:

a)Only values that satisfy y > 3x + 1 are solutions.

b)Only values that satisfy y < 3x – 3 are solutions.

c)Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.

d)There are no solutions.

Answer:

D

Step-by-step explanation:

Answer:

5/7

Step-by-step explanation:

You find a slope by using the equation y2-y1/x2-x1.

In this case: 15-5/21-7

10/14

5/7

ANSWER:

A = 48.19°

B = 48.19°

C = 83.62°

STEP-BY-STEP EXPLANATION:

Given:

a = 6, b = 6, c = 8

We can calculate the angles by means of the law of cosines, just like this:

We apply in each case to calculate the 3 angles, as follows:

Therefore, the angles are the following:

A = 48.19°

B = 48.19°

C = 83.62°

Set of Sides which will form a right angled triangle is ( 3 , 4 , 5 )

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

This statement states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

For a triangle to be Right Angled , It should obey the Pythagoras Theorem

\(c^{2} = a^{2}+b^{2}\)

c = hypotenuse

a = perpendicular side

b = base

Hence

if c = 5 , a = 3 and b = 4

Then

\(c^{2} = a^{2}+b^{2}\)

\(5^{2}= 3^{2}+4^{2}\)

25 = 3 + 16

25 = 25

So

It obeys the Pythagoras Theorem

Set of Sides which will form a right angled triangle is ( 3 , 4 , 5 )

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Answer:

Step-by-step explanation:

Given, :

x P(x)

0 0.900

1 0.09

2 0.007

3 0.003

The expected variance ; Var(X) = x²*p(x) - E(X)²

The expected mean, E(X) = x*p(x)

E(X) = (0*0.9) + (1*0.09) + (2*0.007) + (2*0.003) = 0.113

Var(X) = [(0^2*0.9) + (1^2*0.09) + (2^2*0.007) + (3^2*0.003)] - 0.113^2

Var(X) = 0.145 - 0.012769

Var(X) = 0.132

Variance is one of the measure of the dispersion in the distribution of a random variable. The variance of the distribution of X is 0.132231

Supposing that the considered random variable is discrete, we get:

\(Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i\\\\Variance = Var(X) = (\sum_{\forall x_i} f(x_i)x^2_i) - (E(X))^2\\\)

As standard deviation is positive root of variance, thus,

\(\sigma = \sqrt {Var(X)}\)

where \(x_i; \: \: i = 1,2, ... ,n\) is its n data values

and \(f(x_i)\) is the probability of \(X = x_i\)

For this case, we have the probability distribution of X as:

    X    P(X=x)

    0     0.900

    1      0.09

    2     0.007

    3     0.003

The mean of X is:

\(E(X) = 0 \times 0.900 + 1 \times 0.09 + 2 \times 0.007 + 3 \times 0.003\\E(X) = 0.09 + 0.014 + 0.009 = 0.113\)

Thus, we get the variance of X as:

\(Var(X) = (\sum_{\forall x_i} f(x_i)x^2_i) - (E(X))^2\\\\Var(X) = (0^2 \times 0.900 + 1^2 \times 0.09 + 2^2 \times 0.007 + 3^2 \times 0.003) - (0.113)^2\\Var(X) = 0.09 + 0.028 + 0.027 - 0.012769 = 0.132231\)

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Answer:

3/16

Step-by-step explanation:

In order to get the amount of water to fill a bin, we just divide the amount of water by the fraction of the bin it fills. This makes the unit of the resulting answer as gallons/bin or gallons per bin.

Answer:(1) 11-2n is the correct answer

Step-by-step explanation:

Answer:

11.5

Step-by-step explanation:

Answer:

11.5

Step-by-step explanation:

you have to use this equation to solve it [r = (1/t)(A/P - 1)] and basically just plug the numbers in to get 11.5. (you could also use one of those online calculators)

r = (1/2)((4920/4000) - 1) = 0.115

r = 0.115

Answer:

125 kilometers

Step-by-step explanation:

7.5/6 = 1.25

1.25 x 100 = 125