George earns $15 an hour, works 40 hours per week and about 50 weeks a year. what is his gross income for the year

The revenue equation is given by:

R = –360p^2 + 28,800p

To find the maximum revenue that can be expected, we need to find the vertex of the parabola represented by this equation. The vertex of a parabola is given by the formula:

Vertex = (-b/2a, f(-b/2a))

where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.

In this case, a = -360 and b = 28,800.

The x-coordinate of the vertex is given by:

x = -b/2a = -28,800/(2*(-360)) = 40

Substituting x = 40 into the revenue equation gives:

R = –360(40)^2 + 28,800(40) = 576,000

Therefore, the maximum revenue that can be expected is $576,000.

Again let me know what other ones you need help with

Answer:

67766788786686

Step-by-step explanation:

86686868686867

Answer:

-95

Step-by-step explanation:

Answer:

E(X) = 9.

Step-by-step explanation:

That is 45 * (0.2) = 9.

The required expected value is given as 9 as per the given conditions.

Given that,

To Calculate the expected value E(X) of the given random variable X. Forty-five darts are thrown at a dartboard. The probability of hitting a bull's eye is .2. Let X be the number of bull's-eyes hit.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
The expected value is the scenario predicting algorithm in maths that gives the prediction a value.
So,
According to the question,
E(x) = 0.2 × 45 = 9

Thus, the required expected value is given as 9 as per the given conditions.

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The global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint is correct. Statement C.

The critical value is the value of x for which the double derivative of the function f(x) becomes zero.

When double derivative becomes zero, the graph of the function is neither increasing nor decreasing and hence, the the function attains either

a maxima or a minima.

Hence, he global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint.

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If we mark off a distance t along the unit circle, starting at (1, 0) and moving in a counterclockwise direction, we arrive at the terminal point determined by t.

What is a terminal point?

The ray that has been rotated around the origin to form an angle with the stationary ray that is the initial side of the angle is the ray that has reached its terminal point. The most typical acute-angle measurements are represented by the sine and cosine values.

The coordinates of the terminal point come from the coordinates of the reference point (positive or negative depending on the quadrant.)

We know that a unit circle is the circle of radius 1 which is centered at the origin in the xy-plane.

General equation of a unit circle is: x^2+ y^2 = 1

Starting at the point (1,0),

If t≥0, then, t is the distance along the unit circle in clockwise direction

If t<0, then mod t is the distance along the unit circle in clockwise direction.

Here, role="math" , localid="1648202152711"t is a real number by which a point P(x,y) is generated. This point is known as the terminal point which is determined by the real number t.

Hence, if we mark off a distance t along the unit circle, starting at (1, 0) and moving in a counterclockwise direction, we arrive at the terminal point determined by t.

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Answer: So, the sales tax on the item is $49.

Step-by-step explanation:

The sales tax rate is already given as 14%. It is stated that the item costs $350 before tax, and the sales tax rate is 14%. Therefore, the sales tax amount can be calculated by multiplying the cost of the item by the tax rate:

Sales tax amount = $350 * 14% = $350 * 0.14 = $49

So, the sales tax on the item is $49.

Answer:The mode is equal to the minimum

Step-by-step explanation:

Answer: The mode is equal to the minimum

Step-by-step explanation:

Using the monthly payment formula, it is found that the balance of the plan is of $26,731.23.

It is given by:

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

In which:

The parameters for this problem are given as follows:

A = 144, r = 0.06, n = (68 - 24) x 12 = 528.

Then:

r/12 = 0.06/12 = 0.005.

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

\(144 = P\frac{0.005(1 + 0.005)^{528}}{(1 + 0.005)^{528} - 1}\)

\(P = 144\frac{(1 + 0.005)^{528} - 1}{0.005(1 + 0.005)^{528}}\)

P = $26,731.23.

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Answer:

The answer is switch direction

Step-by-step explanation:

since the arrow is pointing to the left:   <--------

and you don't change the symbol, because when it is greater than or equal to or less than or equal to, it's always a closed circle

Answer: the coefficient of the fourth term is 7

Step-by-step explanation: 1) there is a negative coefficient

2)the first term is 1 not 0

3) third term is 40 not c

Answer:

∠ MON = 51°

Step-by-step explanation:

∠ LON is composed of the 2 angles LOM and MON , that is

∠ LOM + ∠ MON = ∠ LON

42° + ∠ MON = 93° ( subtract 42° from both sides )

∠ MON = 51°

Answer:

<MON= 51°

Step-by-step explanation:

Look at the diagram and locate LON. You can see that LON is the angle of the complete line. Now LOM is given which is the angle of a part of the lines. So that means that to find MON we can minus LON with LOM.

<MON= <LON - <LOM

= 93-42

<MON= 51°

Feel free to ask any doubt you have!

Answer:

Percentage Calculator: 100. is what percent of 500.? = 20.

Step-by-step explanation:

Answer:

(x, y) = (4,-3)

Step-by-step explanation:

...............

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The number z is equal to 2x + 30

A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

We are given that one number is x + 40 + x - 10

2(x + 15)

Let the number be z

So, both the input are equal to each other;

z = x + 40 + x - 10 = 2(x + 15)

z = 2x + 30

Hence, the numbers z is 2x + 30.

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Answer:

16 cups of water

Step-by-step explanation:

You find this by  dividing 28 by your ratio of flour to get 4, then multiplying the cups of water, 4, by 4 to get 16 cups of water

The digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number,

A rational number is a number that can be expressed as a ratio or fraction of two integers (a numerator and a non-zero denominator).

We can see that the next three digits in the decimal points are 6, 6 and 6, respectively. Therefore, the decimal equivalent of 22/6 is:

22/6 = 3.666666...

We notice that the digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number, which means that its decimal representation either terminates (ends) or repeats in a pattern. In this case, it repeats in a pattern of 6's.

Each of the digits after the decimal point will be 6 because this number is a rational number and repeating decimal with a repeating digit of 6.

The difference between 40 and the product of these digits and 6 is always 4.

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The presence of a correlation between statistical variables is an indication

of the existence of a relationship variables, it however, does not imply

direct causation.

Part one:

The similarities of the graphs are;

The differences are;

Second part;

The HOA president's petition is in line with the social media post based on the graph.

The graph shows a strong correlation between murder rates and ice cream sales, however, selling ice cream, and murder are unrelated events.

The correlation between the sale of ice cream and murder is an indication of the existence of a common third factor.

Based on the time of the year dependence of the two variables, which corresponds to hot and cold weather, there is a correlation of both the murder rate and ice cream sales with temperature.

Therefore, the HOA president is not right for doing so

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Answer:

B. 33

Step-by-step explanation:

The average of the terms of a contiguous subsequence of any arithmetic progression is the average of the first and last terms.

To see this, notice that if you remove  25  and  41 from your sequence, then the average of the remaining terms is still given by the average of the extreme terms

Answer:

The top left one is correct.

Step-by-step explanation:

We can rewrite this as an algebraic expression simply so it's easier to read.

Let's say hopscotch is \(h\). Tag is 6 times \(h\), or \(6h\).

That means for every 1 unit of hopscotch, there are 6 units of tag.

The top left one is correct.

According to the information, this number on an abacus would look like this: tens of a thousand = 10,000, units of a thousand = 6,000, hundreds = 500, tens = 10, and units = 6.

To illustrate this value on an abacus we must find the number of this operation as shown below:

Now we must express it in an abacus, then we must separate each number by classifying it in the type of units to which it corresponds as shown below:

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Answer:

x = (v - u) / a

Step-by-step explanation:

v = u + ax.

subtract u from both sides:

v - u = ax.

divide both sides by a:

(v - u) / a = x.

so x = (v - u) / a.

this can also be written v/a - u/a

Answer:

Step-by-step explanation:480 x o.75=360

and now you add this amount on payed

360 + 480=840 was original price

Answer:

Step-by-step explanation:

this triangle is regular one

Answer:

obtuse scalene triangle

Answer:

w = lap/ h - la

Step-by-step explanation:

1 Multiply both sides by a(w+p)a(w+p).

la(w+p)=wh

2 Expand.

law+lap=wh

3 Subtract law from both sides.

lap=wh-law

4 Factor out the common term w.

lap=w(h-la)

5 Divide both sides by h-la.

lap/h - la = w

6 Switch sides.

w = lap/ h - la

\(area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} \)

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

268

Step-by-step explanation:

Hope this helps! ;-)

Answer:

A  100ft fence is used  to enclose a rectengular plot that has an area  of 456 suare feet fine the equation to dtermine the length (x)  of the plot

Step-by-step explanation:

bro help me bots keep awnswering my questions adding files to them

Answer:

200

Step-by-step explanation:

1+20=21

210 people÷21 number of students and chaperones together= 10

10×1=10

10×20=200

10 chaperones :200 students

chaperones:students