Which fraction is less then 1/3 or 1/5

A. The firm's short-run total cost curve can be calculated as TC = 2K + 4L. The short-run average cost curve function will be SAC = TC/Q, where Q is the output.

B. The firm's short-run marginal cost function is MC = 4/Q. The short-run total cost (STC) at 25 and 200 levels of output will be 800 and 2400 respectively. The short-run average cost (SAC) at 25 and 200 levels of output will be 32 and 12 respectively. The short-run marginal cost (SMC) at 25 and 200 levels of output will be 16 and 8 respectively.

C. The graph of the SAC and SMC curves is shown below.

SAC and SMC Graph

D. The SMC curve intersects the SAC curve at its lowest or minimum point because at this point, the SAC curve is at its most cost-efficient level, meaning that the firm's costs are minimized. This is because at this point, the marginal cost is lower than the average cost, meaning that the firm can produce additional units of output with a decreasing cost.

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

for such more questions on value

https://brainly.com/question/843074

#SPJ8

The perimeter of triangle will be Option c) 14.15 units .

Using distance formula between 2 points

Distance - Formula : The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula.

d = \(\sqrt{(X1 - X2)^2 + (Y1 - Y2)^2}\)

Since , we have to find the perimeter of triangle , we will find the distance  from one vertex of triangle to the other for all the 3 sides and add them up .

Substituting values in the above formula ,

AB = \(\sqrt{5}\) units

BC = \(\sqrt{34}\) units

CA = \(\sqrt{37}\) units

Distance = AB + BC + CA = 14.15 units

Hence , the perimeter of triangle will be Option c) 14.15 units .

To learn more on distance formula refer the below link :

https://brainly.com/question/71956

#SPJ9

Answer:

\(\text{27}\)

Step-by-step explanation:

Given that :

\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)

\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)

Number of poster signs that can be cut :

\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)

\(\text{Area of poster board} = 1 \ \text{yard}^2\)

Number of poster signs that can be cut :

\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)

\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)

\(1 \div \dfrac{1}{27}\)

\(1 \times \dfrac{27}{1}\)

\(\bold{= 27 \ poster \ signs}\)

The state income tax owed on a $40,000 per year salary is $1,500.

We have,

To calculate the state income tax owed on a $40,000 per year salary, we need to use the progressive tax rate table given in the problem.

Since $40,000 falls within the income range of $10,001 to $50,000, the tax rate that applies is 5%.

The amount of income that falls within this range.

= $40,000 - $10,000

= $30,000.

So we can calculate the tax owed on this income as:

tax = 5% x $30,000

= 5/100 x 30,000

= $1,500

Therefore,

The state income tax owed on a $40,000 per year salary is $1,500.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer: 1,800

Step-by-step explanation:

Answer:

705.81 and 705.810

Step-by-step explanation:

700 + 5 + 0.8 + 0.01 = 705.81

Answers:

705.810

705.81

After solving the expression, the value is negative 7 over 24 times k plus negative 6. Therefore, option C is correct.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given statement for the expression,

-(5/8)k - 8 + 2 + (1/3)k

Take LCM as 24 and solve the equation,

(-7k - 144) / 24

= (-7/24)k - 6

Therefore, this concludes that option C is correct.

To know more about Expression:

https://brainly.com/question/14083225

#SPJ1

Answer:

77 cubed in.

Step-by-step explanation:

I think it is 77 cubed inches because the formula is V-bh

In order to convert from grams to milligrams, we need to know that 1 gram is equal 1000 milligrams.

Then, to find how many mg is 12.3 g, we can use a rule of three:

So 12.3 g is equivalent to 12,300 mg.

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The formula for adding two fractions:

= a/b + c/d

= (ad + bc) / cd

The fraction spent altogether on food and clothes is 7/12.

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Fraction of earnings spend on food:

= 1/3

Fraction of earnings spend on clothes:

= 1/4

Fraction of total spending on food and clothes.

= 1/3 + 1/4

= (4 + 3) / 12

= 7/12

The formula for adding two fractions:

= a/b + c/d

= (ad + bc) / cd

Fraction of earnings saved after spending on food and clothes.

= 1 - 7/12

= (12 - 7) / 12

= 5/12

Thus,

The fraction spent altogether on food and clothes is 7/12.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ2

Answer:

A

Step-by-step explanation:

Answer:

Rounded to the nearest dollar, Robert will have $ 505 more than Cooper on his account.

Step-by-step explanation:

Given that Cooper invested $ 3,100 in an account paying an interest rate of 2% compounded quarterly, while Robert invested $ 3,100 in an account paying an interest rate of 3% compounded continuously, to determine, after 12 years, how much more money would Robert have in his account than Cooper to the nearest dollar, the following calculation must be made:

Compound interest formula: Initial x (1 + interest / composition) ^ composition x years

Continuous compound interest formula: Initial x exp ^ (interest x years)

Cooper:

3,100 x (1 + 0.02 / 4) ^ 12x4 = X

3,100 x (1 + 0.005) ^ 48 = X

3,100 x 1,005 ^ 48 = X

3,100 x 1,270 = X

3,938.51 = X

Robert:

3,100 x 2.71828182845904 ^ (3x12) = X

4,443.32 = X

4,443.32 - 3,938.51 = X

504.51 = X

Therefore, rounded to the nearest dollar, Robert will have $ 505 more than Cooper on his account.

Answer:

$139

Step-by-step explanation:

The coordinates of B’ is given by D. A'(2, -5)

Since point A is at (2, 5), and you are reflecting it across the x-axis, you take a look at the y-coordinate.

A reflection of a point, a line, or a figure in the X-axis involved reflecting the image over the x-axis to create a mirror image. In this case, the x-axis would be called the axis of reflection.

Since it is five above the x-axis, you go five below the x-axis, or just give the opposite of 5, which is -5.

So, A' is at (2, -5).

To learn more about the reflect axis visit:

https://brainly.com/question/27783849

#SPJ1

Answer:

c (4, -3)

Step-by-step explanation:

took the quiz

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

36 houses  = (x) houses

  30 min            7.5 min.

cross multiply:

30x = 36 (7.5)

x = 270 / 30

x = 9

9514 1404 393

Answer:

  x = 60

Step-by-step explanation:

The angle x is half the sum of the intercepted arcs:

  x = (40 +80)/2

  x = 60

The triangles are similar by SSS congruence of triangles.

What is SSS congruence of triangles?

The two triangles are congruent if the three sides of one triangle are the same as the corresponding three sides (SSS) of the other triangle.

We are given two triangle ABC and PQR.

In order to see whether these are similar or not, we will use the SSS congruence of triangles.

The ratio of sides are:

⇒AB : PQ = 8 : 6

⇒AB : PQ = 4 : 3

Similarly,

⇒BC : QR = 12 : 9

⇒BC : QR = 4 : 3

Similarly,

⇒AC : PR = 12 : 9

⇒AC : PR = 4 : 3

Since, the ratio of all the sides is same so, the triangles are similar.

Hence, the triangles are similar by SSS congruence of triangles.

Learn more about SSS congruence from the given link

https://brainly.com/question/30105734

#SPJ1

Since, there are multiple questions so, the question answered above is attached below

The equation that best describes the relation is y = -x+1 ( optionD)

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Taking x(0,1) and y ( 1,0)

therefore the slope of the line

= 0-1/1-0

= -1/1 = -1

the equation a line is given as

y-y1 = m(x-x1)

= y-1 = -1( x - 0)

= y-1 = -x

y = -x +1

therefore the equation that describe relation is y = 1-x or y = -x+1

learn more about linear equation from

https://brainly.com/question/2030026

#SPJ1

The ordered pair that solves the system of equation is (0, 0).

To solve this system, we can substitute the first equation into the second equation to eliminate y:

x = 2x

Solving for x, we get x = 0.

Substituting x = 0 into the first equation, we get y = 0.

Therefore, the ordered pair that solves the system is (0, 0).

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Answer:

D. \( 4\frac{2}{5} \)

Step-by-step explanation:

Area of fabrics = 2¾ square yards

Width of fabrics = ⅝ yard

Length of fabrics = x

Area = length * width

Therefore:

2¾ = ⅝*x

Change the mixed fraction to improper fraction

\( \frac{11}{4} = \frac{5x}{8} \)

Cross multiply

\( 4*5x = 11*8 \)

\( 20x = 88 \)

Divide both sides by 20

\( \frac{20x}{20} = \frac{88}{20} \)

\( x = \frac{22}{5} \)

\( x = 4\frac{2}{5} \)

\( length = 4\frac{2}{5} \)

Answer:

Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Step-by-step explanation:

hourly pay: $5/hour

number of hours: 24 hours

total pay = hourly pay × number of hours

total pay = $5/hour × 24 hours

total pay = $120

MP3 player costs $100.

Total pay is $120.

Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Person 3's payment exceeded person 2's payment by $20.

To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.

The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.

Step 1: Calculate the total number of parts in the ratio.

1 + 2 + 3 = 6

Step 2: Determine the value of one part.

$120 (total amount) divided by 6 (total number of parts) = $20

Step 3: Calculate the payments for each person based on the ratio.

Person 1: 1 part * $20 = $20

Person 2: 2 parts * $20 = $40

Person 3: 3 parts * $20 = $60

Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:

$60 - $40 = $20

Hence, person 3 paid $20 more than person 2.

For more question on payment visit:

https://brainly.com/question/27926261

#SPJ8

1.) The probability that the sample mean will be greater than 48 minutes is 0.9332.

2.) The probability of the sample mean being between 44 and 49 minutes is 0.6687.

3.) The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean.

To solve this problem, we can use the Central Limit Theorem (CLT), which states that the distribution of sample means tends to be approximately normally distributed, regardless of the shape of the original population, when the sample size is large enough.

1.) Probability of sample mean > 48 minutes:

To calculate this probability, we need to standardize the sample mean using the formula: z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case, the population mean (μ) is 45 minutes, the population standard deviation (σ) is 12 minutes, and the sample size (n) is 36. We want to find the probability of the sample mean being greater than 48 minutes.

Calculating the z-score:

z = (48 - 45) / (12 / √36) = 3 / 2 = 1.5

Using a standard normal distribution table or calculator, we find that the probability corresponding to a z-score of 1.5 is approximately 0.9332. Therefore, the probability that the sample mean will be greater than 48 minutes is approximately 0.9332.

2.) Probability of sample mean between 44 and 49 minutes:

To calculate this probability, we need to find the z-scores for both 44 and 49 minutes and then calculate the area between those z-scores.

Calculating the z-scores:

For 44 minutes:

z1 = (44 - 45) / (12 / √36) = -1 / 2 = -0.5

For 49 minutes:

z2 = (49 - 45) / (12 / √36) = 4 / 2 = 2

Using the standard normal distribution table or calculator, we find the probabilities corresponding to z1 and z2:

P(z < -0.5) ≈ 0.3085

P(z < 2) ≈ 0.9772

The probability of the sample mean being between 44 and 49 minutes is approximately P(-0.5 < z < 2) = P(z < 2) - P(z < -0.5) ≈ 0.9772 - 0.3085 = 0.6687.

3.)Conclusion from 100 samples with a mean of 65 minutes:

If 100 samples were collected, and the sample mean was 65 minutes, we would need to assess whether this value is significantly different from the population mean of 45 minutes.

To make this assessment, we can calculate the z-score for the sample mean of 65 minutes:

z = (65 - 45) / (12 / √36) = 20 / 2 = 10

The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean. This is an extremely large deviation, suggesting that the sample mean of 65 minutes is highly unlikely to occur by chance.

Given this, we can conclude that the sample mean of 65 minutes is significantly different from the population mean. It may indicate that there is a systematic difference in the delivery times between the sample and the population, possibly due to factors such as increased demand, traffic, or other external variables

For more question on probability visit:

https://brainly.com/question/25839839

#SPJ8

Answer: 0.070

Step-by-step explanation:

The question is asking you to estimate how many students completed the English 101 course.

1. Round 99 and 71 to 100 and 70

2. I am not completely sure but I believe the answer is 0.070?

3. Hope it helps! :)

Answer:

6x9= what you can be slow

Step-by-step explanation:

The data collected by Lucilla is as follows:

7.1 oz

6.9 oz

7.3 oz

7.6 oz

8.1 oz

7.5 oz

The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response.

We need to put this data in order, this will give us:

6.9 , 7.1 , 7.3 , 7.5 , 7.6 and 8.1

We have

smallest value is 6.9 oz

largest value is 8.1 oz

all other values fall in this range

Therefore, the weight of an orange based on her calculations is between 6.9 oz and 8.1 oz

Learn more about range here:

https://brainly.com/question/10360927

#SPJ6

Answer:

6.9 and 8nd 8.1 or C

Step-by-step explanation:

The higher R-squared value of the multiple regression model with the higher order independent variable implies that the linear model is not the best fit and that a more complex model is needed to better explain the data

1. Multiple regression models involve fitting a model that includes one or more independent variables to predict a dependent variable.

2.A value of X to a higher power, such as X squared, for an independent variable in a multiple regression model indicates that the relationship between the independent and dependent variables is not linear.

3. If this model produces a higher value of R-squared than a linear model, it means that it is a better fit for the data.

4. However, it does not necessarily imply that the linear model's residual plot is not randomly distributed around the zero line.

Learn more about variable here

brainly.com/question/29583350

#SPJ4

Answer:

Step-by-step explanation:

45

Answer:

Step-by-step explanation:

5