Gianna is paid $90 for 5 hours of work.

• How much money does Gianna make per hour?

The capitalized cost for the solid waste treatment plant, based on a 6% MARR, is approximately $579 million.

To calculate the capitalized cost for the solid waste treatment plant, we need to determine the present value of all the costs over the project's lifespan.

The costs involved in the project are as follows:

Initial installation cost: $35 million.

Minor repair and renovation (R&R) after 10 years: $14 million.

Major R&R after 20 years: $18 million.

Operating and maintenance (O&M) costs each year, increasing at a compound rate of 6% per year.

First, let's calculate the present value of the O&M costs over the 20-year period: Using the TVM Factor Table calculator, the present value factor for a 6% MARR and 20 years is 10.206.

The total O&M costs over 20 years can be calculated as follows: O&M costs for the first year: $3 million. O&M costs for the subsequent years: $3 million * (1 + 0.06) + $3 million * (1 + 0.06)^2 + ... + $3 million * (1 + 0.06)^19.

Using the formula for the sum of a geometric series, the O&M costs over the 20-year period can be calculated as: O&M costs = $3 million * (1 - (1 + 0.06)^20) / (1 - (1 + 0.06)) = $3 million * (1 - 1.418519) / (-0.06) = $3 million * (-0.418519) / (-0.06) = $2.91038 million.

Now, let's calculate the present value of the costs: Present value of the initial installation cost: $35 million.

Present value of the minor R&R cost after 10 years: $14 million * 10.206 (present value factor for 6% MARR and 10 years) = $142.884 million. Present value of the major R&R cost after 20 years: $18 million * 10.206^2 (present value factor for 6% MARR and 20 years) = $371.001 million.

Present value of the O&M costs: $2.91038 million * 10.206 = $29.721 million. Finally, the capitalized cost of the solid waste treatment plant is the sum of all the present values: Capitalized cost = $35 million + $142.884 million + $371.001 million + $29.721 million = $578.606 million.

Rounding the final answer to the nearest whole number, the capitalized cost for the solid waste treatment plant is $579 million.

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The complete question is:

A new solid waste treatment plant is to be constructed in Washington County. The initial installation will cost $35 million (M). After 10 years, minor repair and renovation (R&R) will occur at a cost of $14M will be required; after 20 years, a major R&R costing $18M will be required. The investment pattern will repeat every 20 years. Each year during the 20 -year period, operating and maintenance (O\&M) costs will occur. The first year, O\&M costs will total $3M. Thereafter, O\&M costs will increase at a compound rate of 6% per year. Based on a 6% MARR, what is the capitalized cost for the solid waste treatment plant? Click here to access the TVM Factor Table calculator. $ Carry all interim calculations to 5 decimal places and then round your final answer to a whole number. The tolerance is ±25,000.

The formula for p(x) is 2^(x-1)/x!, and we found this by using the given information, the hint, and the formula for the sum of an infinite geometric series.

Using this pattern, we can find each p(x) in terms of p(0). For example, p(3) = (2^3/3!)p(0) = (8/6)p(0) = (4/3)p(0). To determine p(0), we can use the formula 1 = p(0) + p(1) + p(2) + ... + p(n). Since the pmf is only positive on nonnegative integers, we can use the infinite sum for this formula. 1 = p(0) + 2p(0) + (2^2/2!)p(0) + (2^3/3!)p(0) + ... Simplifying the terms, we get: 1 = p(0) + 2p(0) + 2p(0) + (4/3)p(0) + ...   1 = (1 + 2 + 2^2/2! + 2^3/3! + ...)p(0). Using the formula for the sum of an infinite geometric series, we get: 1 = (1/(1-2/2))p(0). 1 = 2p(0). p(0) = 1/2. Therefore, the formula for p(x) is:  p(x) = (2^x/x!)p(0) = (2^x/x!)(1/2) = 2^(x-1)/x!


The given pmf p(x) follows the relation p(x) = (2/2)p(x - 1) for x = 1, 2, 3, ... . Using the hint provided, we can write the pmf in terms of p(0) for the first few cases: p(1) = 2p(0), p(2) = (2^2/2!)p(0), and so on. In general, we can represent the pmf p(x) in terms of p(0) as p(x) = (2^x/x!)p(0) for nonnegative integers x. This can be recognized as a Poisson distribution with parameter λ. Since the sum of probabilities in a distribution must equal 1, we have: 1 = p(0) + p(1) + p(2) + ... = p(0)(1 + 2 + 2^2/2! + 2^3/3! + ...). This infinite series is the Maclaurin series for e^(2x), evaluated at x = 1, which converges to e^2. Therefore, p(0) = 1/e^2, and the formula for p(x) is given by p(x) = (2^x/x!) * (1/e^2).

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The Fourier series representation of the output \(y(t)\) for different inputs can be found by convolving the input signal with the impulse response \(h(t)\).

For the given input \(x(t) = 1\), the output can be found by convolving \(x(t)\) with \(h(t)\). The Fourier series representation of the output can be obtained by taking the Fourier transform of the convolved signal.

Since \(h(t)\) is an even function, the Fourier transform of \(h(t)\) is a real and even function. Thus, the Fourier series representation of the output will only contain cosine terms.

To calculate the Fourier series coefficients, we need to find the integral of the product of the impulse response and the cosine functions.

Using the property that \(\cos(at)\) is even and \(\int_{-\infty}^{\infty} \cos(at) \, dt = \pi \delta(a)\), where \(\delta\) is the Dirac delta function, we can simplify the calculation.

By evaluating the integrals, we can determine the values of the Fourier series coefficients, and thus, obtain the Fourier series representation of the output \(y(t)\).

In summary, to find the Fourier series representation of the output \(y(t)\) for the given inputs, we need to convolve the inputs with the impulse response \(h(t)\), calculate the Fourier series coefficients using the properties of even functions and the Dirac delta function, and then express the output in terms of the cosine terms.

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Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

The decision for this test at a .05 level of significance is not enough information to make a decision the correct answer is (d).

To make a decision for a hypothesis test, we compare the obtained test statistic (in this case, z = 1.80) with the critical value(s) based on the chosen level of significance (in this case, α = 0.05).

For a one-sample z test, if the obtained test statistic falls in the rejection region (i.e., beyond the critical value(s)), we reject the null hypothesis. Otherwise, if the obtained test statistic does not fall in the rejection region, we fail to reject the null hypothesis.

Without knowing the critical value(s) corresponding to a significance level of 0.05 and the directionality of the test (one-tailed or two-tailed), we cannot determine the decision for this test. Therefore, the correct answer is (d) There is not enough information to make a decision.

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Answer:

25%

Step-by-step explanation:

1,000x4 would be 4 thousand, so the answer would be 1/4. 1/4 as a percent is 25%.

Answer:

Go to the bottom of that problem and click save for later

Answer:

260 degrees.

Step-by-step explanation:

Attached is the work to your problem.

Please see the attachment, it includes explanations and the algebraic process.

I hope this helps.

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.

As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.

As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):

38 ÷ 45 ≈ 0.8444444444444444

Rounded to two decimal places, this would be approximately 0.84.

As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:

0.8444444444444444 * 100 ≈ 84.44%

Rounded to two decimal places, this would also be approximately 84.44%.

So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.

This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.

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Answer:

The answer is 7 video games

Step-by-step explanation:

The number of video games Austin sold will be 4.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did.

Let x be the number of video games sold and y be the number of video games left. Then the equations will be

y = 26 - x

y = 40 - 3x

From equations 1 and 2, then we have

26 - x = 40 - 3x

3x - x = 40 - 26

2x = 14

x = 4

The number of video games Austin sold will be 4.

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Answer:

\(x^4 - 81 = (x - 3)(x+3)(x^2 + 9)\)

Step-by-step explanation:

Given

\(x^4 - 81\)

Required

Write an equivalent expression

Express 81 as 9^2

\(x^4 - 81 = x^4 - 9^2\)

Express x^4 as (x^2)^2

\(x^4 - 81 = (x^2)^2 - 9^2\)

Apply difference of two squares:

\(x^4 - 81 = (x^2 - 9)(x^2 + 9)\)

Express 9 as 3^2

\(x^4 - 81 = (x^2 - 3^2)(x^2 + 9)\)

Apply difference of two squares

\(x^4 - 81 = (x - 3)(x+3)(x^2 + 9)\)

Hence, an equivalent expression is: \((x - 3)(x+3)(x^2 + 9)\)

Answer:

Step-by-step explanation:

Point slope form y-y₁ = m(x-x₁)

y-4 = 6(x + 1)

y-4 = 6x + 6

y = 6x + 10

Answer:

4 and 5, closer to 4

Step-by-step explanation:

hope that helps>3

we know that

If two triangles are similar, then their corresponding angles are congruent

In this problem

we have that

First case

angle x and angle 60 are corresponding angles

angle (x+10) and angle (2x-50) are corresponding angles

so

x=60

x+10=2x-50

2x-x=10+50

x=60

is ok

Second case

angle (x+10) and angle 60 are corresponding angles

angle x and angle (2x-50) are corresponding angles

so

x+10=60

x=50

x=2x-50

2x-x=50

x=50

therefore

Answer:

Step-by-step explanation:

The answer is (B), because the rate of the function is 0.50 from 0 to 8 ounces, thus the line should have a slope of 1/2. But afterward, it levels off horizontally as every ounce above 8 ounces to 12 ounces is $4.

Hope that helps!

Answer:

B

Step-by-step explanation:

Since it is 0.5 per serving between 0 and 8 ounces the graph would intersect at (1, 0.5) and it does for B. And then it says $4 for any serving 8 oz and 12 oz. B shows that the line changes to 4 dollars when it reaches 8 oz. Sorry for the terrible explanation.

Answer:

- \(\frac{12}{20}\)

Step-by-step explanation:

To obtain a denominator of 20 requires the numerator and denominator to be multiplied by 4 , that is

- \(\frac{3}{5}\) = - \(\frac{3(4)}{5(4)}\) = - \(\frac{12}{20}\)

Answer:

Each additional cup is 1 centimeter.

Step-by-step explanation:

We know this because we can see the height on the graph. For each number of cups increased (y-axis), 1 centimeter in height increases as well.

Therefore, we can say that each additional cup is 1 centimeter.

Answer:

yes

Step-by-step explanation:

2/4 and 2/3 has a LCM of 12

Answer:

Step-by-step explanation:

The LCM of 2/4 and 2/3 is 2. This is because 2/4 goes into 1, 3/2, and 4/2=2. 2/3 goes into 4/3, 6/3=2.

Answer:

x = 8

In all the boxes, you will first subtract 8 with 2, which will be 6. Then you will add them.

6 + 6 + 6 = 18

Answer:

like terms are numbers or letters that are a like.

y² is the only letter with a square in this problem. Whilst xy and 2xy are the same.

y²+ xy + 2xy

y² there is no letter with square again.

xy+2xy is the same as one orange + two orange.

1 is never written against a letter.

y²+ xy + 2xy

y²+3xy

Answer:

\(y=-7x+6\)

Step-by-step explanation:

1 ) Our given equation is \(Y\left(x\right)+8=-7\left(x-2\right)\)

2 ) We can now graph this equation ( desmos is a good online graphing calculator ). The graph is shown in the attachment...

3 ) Now that the equation has been graphed we can see that the slope intercept form is \(y=-7x+6\)

Hope this helps! :)

Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

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Answer:

676000

Step-by-step explanation:

There are 26 letters in the alphabet meaning that there is a possible 26*26 combinations. Of course, there are 10 numbers between 0 and 9 including 0 and 9 so there are 10^3 number of possible combinations. So the total is 26^2 * 10^3 which is equal to 676000 combinations

Because the sample statistic centers around a different value than the population parameter, the sample mean absolute deviation is a biased estimator of the population mean absolute deviation.

Reason Behind a Biased Estimator

The expected value (average) of all the sample absolute deviations must match the population absolute deviation in order for the absolute deviation to function as an unbiased estimator. It does not, however, which makes the values of sample mean absolute deviation behave as a  biased estimator.

Brief Description of Sample Mean Absolute Deviation

The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection. It is a statistical summary of statistical variability or dispersion.

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Answer:

the answer is 55 which its B

because you multiplay 22%of 250

you first have to move the decimal two times

like this .22 now you multiplay

.22×250=you will get 5500 but remember you plug in the decimal and move it two time

which it is 55.00 so its 55