What is the range of the function on the graph?​

The worth of the factory is $97580.17.

Given data;

Cost of $460,000 for the factory. You project that it will bring in $150,000 in the first year, $210,000 in the second, and $360,000 in the third. The 12% discount rate applies.

To know the factory's worth;

Let,

\(NPV = \frac{C_0}{(1 + r)^0} + \frac{C_1}{(1 + r)^1} + \frac{C_2}{(1 + r)^2} + \frac{C_3}{(1 + r)^3}\)

Here,

C₀ = -460,000, C₁ = 150,000, C₂ = 210,000, C₃ = 360,000

\(NPV = \frac{-460,000}{(1 + 0.12)^0} + \frac{150,000}{(1 + 0.12)^1} + \frac{210,000}{(1 + 0.12)^2} + \frac{360,000}{(1 + 0.12)^3}\)

NPV = $97,580.17

Therefore, the factory's worth is $97580.17.

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The linear equation for the moose population p as a function of t the years since 1986 is P(t) = 380t + 2920.

The equations with two variables where each variable has the largest exponent order of 1 having one, zero, or an infinite number of solutions, and are referred to as linear equations in two variables. A linear equation with two variables has the conventional form ax + by + c = 0, where x and y are the variables. Additionally, the answers can be expressed as ordered pairs, like (x, y).

Linear equations have three main forms which are as follows:

We will consider x on the graph to be years since 1986 and y on the graph to be the number of Moose.

We have two points on the graph:  (6, 5200) and (11, 7100)

Using the slope formula m = (y2 - y1)/(x2 - x1), we can find the slope of this line:

m = (y2 - y1)/(x2 - x1)                

m = (7100 - 5200)/(11 - 6)          

m =  1900/5                            

m = 380                                  

Now, that we have the slope of the line, we can use the point-slope formula (y - y1) = m(x - x1) to find the equation for the line.  Here, we're using the first point, but either point will produce the same answer.

(y - y1) = m(x - x1)                                    

y - 5200 = 380(x - 6)                            

y - 5200 = 380x - 2280                            

y - 5200 + 5200 = 380x - 2280 + 5200    

y = 380x + 2920                                    

Since the equation that is being sought is supposed to be in terms of P and t, We will replace y with P and x with t.

Hence, the equation will be P(t) = 380t + 2920.

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Answer:

64°

Step-by-step explanation:

33k-9=90 (being a right angle)

33k=90+9=99

k=99/33=3

CD=20×3+4=64°

Answer:

arc CD = 64 degrees

Step-by-step explanation:

Find out k value: 33k-9+90=180

33k+81=180

33k=99

k=3

Substitute it in: 20(3)+4=60+4=64

SInce CPD is a central angle, arc CD = 64 degrees

I hope this helped and have a good rest of your day!

An employee receives a 2% rise once every year. If an employee's starting salary is $61,900.00, salary after seven years will be $71,103.64.

We will calculate the salary for each year till 7th year.

Salary after 1 year = Original salary × (100 + raise)/100

= 61,900 × (100+2)/100
= 61,900 × 102/100

= $63,138

Salary after second year = salary after first year × 1.02

= 63,138 × 1.02

= $ 64,400.76

Salary after third year = salary after second year × 1.02

= 64,400.76 × 1.02

= $ 65,688.78

Salary after fourth year = salary after third year × 1.02

= 65,688.78 × 1.02

= $ 67,002.55

Salary after fifth year = salary after fourth year × 1.02

= $ 67,002.55 × 1.02

= $ 68,342.60

Salary after sixth year = salary after fifth year × 1.02

= $ 68,342.60 × 1.02

= $ 69,709.45

Salary after seventh year = salary after sixth year × 1.02

= $ 69,709.45 × 1.02

= $ 71,103.64

So, the final salary after seven years after all the increments will be $ 71,103.64

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Answer:

<a = 30

<b = 60

<c = 115

Step-by-step explanation:

<a = 30 since they are vertical angles and vertical angles are equal

<a + < b + 90 = 180 since they make a triangle

30 + <b +90 = 180

120 + <b = 180

<b = 180-120

<b = 60

<c + 75 = 180 since they form a straight line

<c = 180-75

<c = 115

Answer:

a=30

b=60

c=105

Step-by-step explanation:

We know a=30 because 30 and a are the same

The middle forms a triangle and triangles are equal to 180

The box indicates that the angle is 90 degrees

180=a+b+90

180=30+90+b

b=60

Angle c is supplementary to 75 so it must equal 180

180=c+75

c=105

Let me know if you have any questions!

Answer:

y=1/3x+7

Step-by-step explanation:

1. The given equation is y=1/3x-6 and it has to be parallel passing through (-12,3), so you just plug in the x and y values into the equation y=mx+b with 1/3 as the slope since its parallel (meaning the slope is the same for both eqts)

2. 3=1/3(-12)+b

3. 3=-4+b

4. 7=b

5. So, the equation is y=1/3x+7

The decision-maker is willing to pay a risk premium of $250 to eliminate the risk of lottery p', and a risk premium of $500 to eliminate the risk of lottery p?. Therefore, the decision-maker prefers lottery p?.

The decision-maker's utility function suggests that they have a logarithmic utility index, v(r) = In(2). To calculate the risk premia, we compare the expected utilities of the lotteries. For lottery p', the expected utility is E[v(p')] = (1/2) * v(-1000) + (1/2) * v(0) = (1/2) * In(2) + (1/2) * In(2) = In(2). For lottery p?, the expected utility is E[v(p?)] = v(-500) = In(2). Since both lotteries have the same expected utility, the decision-maker is indifferent between them in terms of expected utility.

However, the decision-maker is risk-averse, which means they prefer to eliminate risk when possible. To eliminate the risk of lottery p', the decision-maker is willing to pay a risk premium of $250 (which is half the difference between the potential losses of $1000 and $0). On the other hand, to eliminate the risk of lottery p?, the decision-maker is willing to pay a risk premium of $500 (the full potential loss amount).

Therefore, the decision-maker prefers lottery p? as they are willing to pay a higher risk premium to eliminate its risk.

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The value of CPI will be 178.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

In 1983, a pair of jeans cost $66.35.

And, A pair of jeans costs $118.10 today.

Now,

Since, In 1983, a pair of jeans cost $66.35.

And, A pair of jeans costs $118.10 today.

Hence, The value of CPI will be;

CPI = 118.10 × 100 / 66.35

      = 11810 / 66.35

       = 178

Thus, The value of CPI will be 178.

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Answer:

0.0015

0.0050

0.0150

0.1050

Step-by-step explanation:

Answer:

0.0015

0.0050

0.0150

0.1050

The study examining the effect of two strength-training programs (balance ball vs. stationary exercise equipment) on blood pressure and cholesterol levels in women over 60 is a double-blind randomized experiment.

What is a double-blind randomized experiment? A double-blind randomized experiment is a type of experiment where neither the experimenter nor the study subjects know what treatment the subject is receiving. In this type of experiment, the participants are randomly assigned to a treatment group. This type of experiment aims to reduce the placebo effect and reduce bias from the experimenter or study participants.

What is the purpose of the study? The purpose of the study was to determine the effect on blood pressure and cholesterol levels in women over the age of 60 of two different strength-training programs, one involving the use of a balance ball and the other using stationary exercise equipment. The subjects were aware of the purpose of the study, but they were not told that there were two different treatment groups involved. The cholesterol levels and blood pressure of subjects were measured at the start and at the end of the eight weeks.

What is the result of the study? The result of the study was not included in the question, so it is not possible to determine the result of the study. However, the study is an example of a double-blind randomized experiment, which is used to reduce the placebo effect and reduce bias from the experimenter or study participants.

In this scenario, the study involves randomly dividing the participants into two equal-sized experimental groups. The participants and the medical technician are unaware of which group each participant belongs to, indicating a double-blind setup. This helps to minimize potential biases and ensure objective measurements of blood pressure and cholesterol levels. The use of double-blind methodology is common in experiments to reduce the influence of bias and increase the reliability of the results.

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Answer:

16 (: That is what i think...

Step-by-step explanation:

7

tan(60) = h/40

h = 40 x tan(60)

h = 40√3

cos(60) = 40/r

r = 40/cos(60)

r = 80

8.

tan(60) = p/82

p = 82 x tan(60)

p = 82√3

cos(60) = 82/t

t = 82/cos(60)

t = 164

9.

tan(60) = 22√3 /x

x = 22√3 /tan(60)

x = 22

sin(60) =  22√3 /k

k = 22√3 / sin(60)

k = (20/3)√3

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

Given that,

To find f (0), we need to substitute 0 in the place of x.

\( \sf \: f(x) = 2 {x}^{2} + 3 \\ \longmapsto \sf \: f ( 0 ) = 2 ( 0 ) ^ { 2 } + 3\)

Calculate 0 to the power of 2 and get 0.

\( \sf \: f(0) = 2\times 0+3 \)

Multiply 2 and 0 to get 0.

\( \sf \: f(0) = 0+3 \)

Add 0 and 3 to get 3.

\( \boxed{ \boxed{ \bf \: f(0) = 3}}\)

Answer:

Similarity statement: △PRQ  ∼ △TRS

Step-by-step explanation:

They are similar because of vertical angles and sharing a parallel side

Answer:

the correct answer is 60° and 30°( for the two angles that have the ratio 2:3)

The other angle will be 90°

The line /TV/ that we have been asked to find from the information is the question is obtained as 7.

The sine rule, also known as the law of sines, is a trigonometric formula used to find an unknown side or angle in a triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all three sides of the triangle.

We know that the missing angle U is obtained from;

180 - (58.3 + 80)

= 41.7°

Then;

8.9/Sin 58.3 = /TV//Sin 41.7

/TV/ = 8.9 Sin 41.7/Sin 58.3

/TV/ = 5.9/0.85

= 7

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1.The beginning balance should be $4,000

2.The amount to be adjusted is $2554

3.The ending balance of the account after the adjustment $2554

4. Office Supplies Account is $14846

An adjusting entry is an additional journal entry that is made at the end of the month or year. When any financial transaction is incurred for which the amount is not accrued yet or no financial transaction incurred for the accrued amount and in such case the adjusting entry is made to know the actual amount accrued in the month or year.

The adjustment entries are the additional entries to the recorded journal entries.

"Information available from the question"

The Office Supplies account started the year with a $4,000 debit balance

The company purchased supplies for $13,400,

The inventory of supplies available at the end of the year totaled $2,554.

Now, According to the question:

1. The beginning balance should be $4,000

2.The adjusted amount is

Opening balance = 4000

Add: New purchases = 13400

Balance after Purchase = 17400

Less: Year end balance = 2554

3. The ending balance is $2,554

4. The adjusting journal entry is

Dr. Supplies Expense Account is 14846

Adjustment in the year = Cr. 14846 (subtracted from the balance)

Office Supplies Account is 14846

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Answer:

y = \(\frac{t}{a+v}\)

Step-by-step explanation:

Given

ya + yv = t ← factor out y from each term on the left side

y(a + v) = t ( divide both sides by a + v )

y = \(\frac{t}{a+v}\)

Answer: y = yah

Step-by-step explanation:

Step-by-step explanation:

these are almost the simplest possible problems to get you a little bit familiar with the use of this line of thinking and to use these methods.

come on ! are you really not understanding this ?

I think you are not trying to learn and get better, you try to get others doing your work for you.

these problems are so simple that stating them here costs you more time than just solving them.

remember fractions ?

remember the problems to find the smallest common denominator for a list of fractions ?

the first question is exactly that.

what is the smallest common denominator of 3/4, 1/3 and 1/2 ?

because that is the number you need to multiply both sides to eliminate all fractions.

so, what is the smallest number that can be split by 4, 3 and 2 ?

is it 2 ? no, 4 and 3 can't do that.

is it 3 ? no, 2 and 4 can't do that.

...

is it 6 ? no, 4 can't do that.

...

is it 8 ? no, 3 can't do that.

...

is it 12 ? yeah ! all 3 can do that.

here a little tip : you start by multiplying all involved numbers, and then work your way back by eliminating some factors shared by some of the numbers.

here it would be

2×3×4 = 24

but 12 is sufficient, because 2 and 4 share another common factor of 2. so, we can divide 24 by 2 and get 12.

"isolate the variable" means having it only on one side of the equation.

so, what do you think ?

subtracting any constants does not change anything for "j".

from all the offered options only the subtraction of 1.1j eliminates j from one side.

the runners save.

you only need to translate the words into the corresponding mathematical symbols.

runner 1 has $112 already saved.

that is our starting value for this runner.

so, 112 + ...

received a $45 gift card. so, $45 are added.

so, 112 + 45 + ...

saves $25 each month (m). so, whatever the number of m is, there will be $25×m added to the account.

so, 112 + 45 + 25m

we know already, it is the second option.

but for training purposes let's look at runner 2 too :

he starts with $50 already saved.

so, 50 + ...

saves $60 each month (m). same principle as above.

so, 50 + 60m

if we want to know, when (after how many months) both runners will have the same amount of money, we simply need to say both equations are equal and solve for m.

-3x + 1 + 10x = x + 4

how do we solve this ?

by bringing all x to one side and contract them into one expression. and try to bring all constants to the other side and contact them too. and then do the reverse operation of the x expression (like a division for a multiplication).

1 + 7x = x + 4

1 + 6x = 4

6x = 3

x = 3/6 = 1/2

hurray, it is the first option !

Using a system of equations, the diameter of the largest pizza is 30 inches, and the diameter of the smallest pizza is 13 inches.

Let's denote the diameter of the largest pizza as "L" and the diameter of the smallest pizza as "S." According to the problem, the sum of their diameters is 43 inches, which can be represented by the equation L + S = 43. Additionally, the difference in their diameters is 17 inches, leading to the equation L - S = 17.

To solve this system of equations, we can use the method of substitution or elimination. By adding the two equations together, we eliminate the variable "S" and solve for "L": (L + S) + (L - S) = 43 + 17. Simplifying the equation, we get 2L = 60, which yields L = 30.

Substituting the value of L into either equation, we find S: 30 - S = 17. Solving for S, we get S = 13.

Hence, the diameter of the largest pizza is 30 inches, and the diameter of the smallest pizza is 13 inches.

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In summary, given a simple dataset with 30 points, the following steps were performed: (a) OLS estimation was used to calculate the coefficients β^0 and β^1 for the regression of Y on X.

(b) the predicted value of Y was calculated for each observation; (c) the residuals were calculated for each observation; (d) the Explained Sum of Squares (ESS), Total Sum of Squares (TSS), and Residual Sum of Squares (RSS) were calculated separately; (e) the coefficient of determination R^2 was calculated; (f) the predicted value of Y was determined when X equals the last digit of the CUNY ID plus one; and (g) the interpretation of β^0 and β^1 was provided.

In detail, to calculate the OLS estimates of coefficients β^0 and β^1, a regression model of Y on X was fitted using the given dataset. β^0 represents the intercept term, which indicates the value of Y when X is zero. β^1 represents the slope of the regression line, indicating the change in Y corresponding to a unit change in X.

The predicted value of Y for each observation was obtained by plugging the corresponding X value into the regression equation. The residuals were then calculated as the difference between the observed Y values and the predicted Y values. ESS represents the sum of squared differences between the predicted Y values and the mean of Y, indicating the variation explained by the regression model.

TSS represents the total sum of squared differences between the observed Y values and the mean of Y, representing the total variation in Y. RSS represents the sum of squared residuals, indicating the unexplained variation in Y by the regression model. R^2, also known as the coefficient of determination, was calculated as ESS divided by TSS, indicating the proportion of total variation in Y explained by the regression model. Finally, the predicted value of Y was determined when X equals the last digit of the CUNY ID plus one, allowing for an estimation of Y based on the given information.

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Answer:

3

Step-by-step explanation:

divide one side of the bigger triangle by the corresponding side of the smaller one

Answer:

3

Step-by-step explanation:

Divide the bigger triangle by the little one

3/1=3

then 12/4=3

Taxing the consumption of work by $1 would likely lead to a decrease in the consumer's choice of work hours and a shift towards consuming more of the consumption good. This relates to recent controversies over raising income tax and how changes in tax rates can influence individuals' behavior and choices regarding work and consumption.

The budget constraint equation, derived from the given values, is $1 * c + $2 * w ≤ $50. This equation reflects the consumer's limited budget, where the total expenditure on consumption goods (c) and the total earnings from work (w) should not exceed the available budget (m = $50).

The graph of the budget constraint and the time constraint shows the feasible combinations of consumption goods and work hours that satisfy both constraints. The set of available bundles lies at the intersection of these constraints.

When work is taxed by $1, the consumer's earnings from work decrease by that amount per hour. This reduction in earnings disincentivizes the consumer from choosing higher levels of work consumption. As a result, the consumer is likely to allocate fewer hours to work and increase their consumption of the consumption good instead.

This scenario sheds light on the ongoing controversies surrounding income tax raises. Higher income taxes can diminish the motivation to work more hours or earn higher incomes, as individuals face a higher tax burden on their earnings. The impact of such tax changes on work and consumption choices becomes evident, as individuals evaluate their decisions in response to tax incentives.

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Multiple regression offers a more comprehensive and nuanced analysis by considering the influence of multiple predictors, capturing complex relationships, controlling for confounding variables, and enhancing predictive capabilities.

A study using multiple regression has several advantages over a study using bivariate correlation:

Multivariate analysis: Multiple regression allows for the inclusion of multiple predictor variables, which enables the examination of their individual contributions while controlling for the effects of other variables. This helps to identify the unique influence of each predictor on the outcome variable, considering their interrelationships.

Complex relationships: Multiple regression can capture complex relationships between variables by accounting for their combined effects. Bivariate correlation can only assess the linear relationship between two variables, whereas multiple regression can handle non-linear relationships and interactions between predictors.

Control of confounding variables: Multiple regression enables the control of confounding variables by including them as predictors in the model. By controlling for potential confounders, the relationship between the predictor and outcome variables can be more accurately assessed, reducing the likelihood of spurious associations.

Increased predictive power: Multiple regression can improve the predictive power of the model by incorporating multiple predictors. By considering multiple factors simultaneously, it can provide a more comprehensive understanding of the factors influencing the outcome variable and better predict its values.

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Answer:

Tipo de función: Función Constante o Función Polinómica de Orden Cero

Dominio: \(Dom \{f(x)\} = \mathbb{R}\)

Codominio: \(Ran \{f(x)\} = 4\)

Asíntota: \(y = 4\)

Raíces: No tiene.

Vértices: No tiene.

La tabla de valores y el gráfico se encuentran adjuntos al fondo.

Step-by-step explanation:

Sea \(f(x) = 4\), el cual representa a una Función Constante o Función Polinómica de Orden Cero, cuyos dominio y codominio son \(Dom \{f(x)\} = \mathbb{R}\) y \(Ran \{f(x)\} = 4\). No tiene vértices. Esta función tiene una asíntota horizontal coincidente con la función (\(y = 4\)) y carece de raíces al ser \(f(x) \ne 0\) para todo \(x\in \mathbb{R}\).

Finalmente, agregamos una tabla de valores y la gráfica asociada a la función:

x         -2         -1         0         1          2

y         4          4         4         4         4

Answer:

B

Step-by-step explanation:

Angle is 180

combine like terms

180/9=20

X=20

4x+5x=180

4(20)+5(20)=180

hope this helps

Answer:

B

Step-by-step explanation:

4x and 5x are adjacent angles on a straight line and sum to 180° , so

4x + 5x = 180

The completed blanks in the statement are underlined as follows

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

A mathematical expression

The mathematical expression is given as

2x⁴ + 53x⁵ - 2 + x⁶

The standard form

To do this, we rearrange the expression from the highest power to the least

So, we have the following representation

x⁶ + 53x⁵ + 2x⁴  - 2

The degree

This is the highest power in the expression

So, the degree is 6

The leading coefficient

This is the coefficient of the term that has highest power of x

So, the leading coefficient is 1

The name of the expression

The expression has 4 terms

So, the name is a polynomial

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Answer:

Bus 18 is more consistent than Bus 47 based on the IQR, which is smaller for Bus 18 (16) compared to Bus 47 (24), indicating less spread of data between the 25th and 75th percentiles.

Step-by-step explanation:

Answer: The correct option regarding which bus has the least spread among the travel times is given as follows:

Bus 14, with an IQR of 6.

How to obtain the measures of spread?

First, we consider the dot plot, which shows the number of times that each observation appears in the data set.

Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data set.

The interquartile range is a better measure of spread compared to the range of a data set, as it does not consider outliers.

For groups of 15 students, we have that:

The first half is composed of the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.

The second half is composed of the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.

The quartiles for Bus 14 are given as follows:

Q1 = 12.

Q3 = 18.

Hence the IQR is of:

IQR = Q3 - Q1 = 18 - 12 = 6.

The quartiles for Bus 18 are given as follows:

Q1 = 9.

Q3 = 16.

Hence the IQR is of:

IQR = Q3 - Q1 = 16 - 9 = 7.

Step-by-step explanation: