You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and two shirts for $84. Your friend buys two pairs of jeans, one pair of shorts and three shirts for $76. Your cousin buys one pair of jeans, two pairs of shorts and one shirt for $52. Find the cost of one pair of shorts.​

Part A: Each block will have an area of 128 square inches (8 in. x 16 in.), but the outside border of each block will be covered with blue paint.

Area is the measurement of the space contained within a two-dimensional surface.

The outside border of each block is 8 in. long and 16 in. high, for a total of 128 square inches of each block that is covered in blue paint.

Part B: The entire mural will have 25 identical blocks, so the total number of square inches of the entire mural that will be covered by white paint is 3,200 square inches (25 blocks x 128 square inches per block).

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The conditional probability that the accident occurred in foggy conditions given that there were no deaths is 0.089.

To solve this problem, we can use Bayes' theorem, which states that the conditional probability of an event A given event B is equal to the probability of event B given event A, multiplied by the prior probability of event A, divided by the overall probability of event B.

Let F, R, and S denote the events that the accident occurred in foggy, rainy, and sunny conditions, respectively, and let D denote the event that there were no deaths. Then we have:

where P(D | F) is the probability of no deaths given that the accident occurred in foggy conditions, which is 4/5. P(F) is the prior probability of the accident occurring in foggy conditions, which is 0.17. P(D) is the overall probability of no deaths, which we can calculate using the law of total probability:

P(D) = P(D | F) * P(F) + P(D | R) * P(R) + P(D | S) * P(S)

= (4/5 * 0.17) + (11/12 * 0.17) + (26/27 * 0.66)

= 0.739

Plugging in these values, we get:

P(F | D) = (4/5 * 0.17) / 0.739

= 0.089 (rounded to three decimal places)

Therefore, the conditional probability that the accident occurred in foggy conditions given that there were no deaths is 0.089.

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When using the partition algorithm, the goal is to divide a set of elements into two subsets based on a chosen pivot element. This pivot element is typically chosen as the median of the set or a close approximation to it.

To find the median of the set, we first divide it into groups of 5 (or any other fixed number). We then find the median of each group, which will give us a set of medians. We can then recursively find the median of this set of medians, which will give us an approximate median for the entire set.

Once we have the pivot element, we can compare it to each element in the set and divide them into two subsets based on whether they are greater or less than the pivot element. However, we do not need to compare the pivot element to every element in the set.

We only need to compare the pivot element to the elements that we do not already know how they compare. These are the elements that are in different subsets than the pivot element.

For example, if the pivot element is greater than a certain element, we know that this element is in the subset that contains elements less than the pivot. Therefore, we do not need to compare the pivot element to this element.

In general, we only need to compare the pivot element to approximately half of the elements in the set. This is because each comparison will divide the set into two subsets, one of which we already know the relationship to the pivot element.

In conclusion, when using the partition algorithm, we only need to compare the median of medians to approximately half of the elements in the set, those that we do not already know how they compare.

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Answer:

sm like this hope this helps your welcome

The weighted average cost of capital (WACC) for company C is 6.63%.

The weighted average cost of capital (WACC) is a financial metric that represents the average rate of return a company must earn on its investments to satisfy its shareholders and creditors. It takes into account the proportion of debt and equity in a company's capital structure and the respective costs associated with each.

To calculate WACC, we need to consider the cost of debt and the cost of equity. The cost of debt is the interest rate a company pays on its debt, adjusted for taxes. In this case, the pre-tax cost of debt is 2% and the tax rate is 24%. Therefore, the after-tax cost of debt is calculated as (1 - Tax Rate) multiplied by the pre-tax cost of debt, resulting in 1.52%.

The cost of equity represents the return required by equity investors to compensate for the risk associated with owning the company's stock. Here, the cost of equity for company C is 6%.

The debt represents 10% of the total capital, while the equity represents the remaining 90%. To calculate the weighted average cost of capital (WACC), we multiply the cost of debt by the proportion of debt in the capital structure and add it to the cost of equity multiplied by the proportion of equity.

WACC = (Proportion of Debt * Cost of Debt) + (Proportion of Equity * Cost of Equity)

In this case, the calculation is as follows:

WACC = (0.10 * 1.52%) + (0.90 * 6%) = 0.152% + 5.4% = 6.552%

Therefore, the weighted average cost of capital (WACC) for company C is approximately 6.63%.

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Answer:

it is. opiton A : 4.8

Step-by-step explanation:

since the side l to m is 4. in and it is mulipied by three to get the new side l' to m' whixh is 12 in. then we multiply 8 by 3 which is 24 and now we look for what times 5 is 24

and that is 4.8

Answer:

$5282.70

Step-by-step explanation:

the formula for calculating future value when there is continuous compounding is : A x e^r x N

A= amount e = 2.7182818

N = number of years

r = interest rate

2500x e^0.055 x 2 = 5282.70

Answer:

The number of large size candles sells are 12 and the number of small size candles are 5 .

Step-by-step explanation:

As given

Sia sells large candles for $3 each and small candles for $2 each.

She sold 17 candles for $46.00.

Let us assume that the large size candle sells are x .

Let us assume that the small size candle sells are y.

Equation becomes

x + y = 17

3x + 2y = 46

Multiply x + y = 17 by 3 and subtracted from 3x + 2y = 46 .

3x - 3x + 2y - 3y = 46 - 51

-y = - 5

y = 5

Put in the equation x + y = 17 .

x + 5 = 17

x = 17 - 5

x = 12

Therefore the number of large size candles sells are 12 and the number of small size candles are 5 .

Answer: y= \(\frac{-3}{1}\)x-4

Step-by-step explanation:

y=mx+b

slope= -3/1

y intercept (the y intercept is where the line intercepts the y axis) = -4

y= \(\frac{-3}{1}\)x-4

I am not a professional, simply using prior knowledge.

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Answer:

The answer is $66.95

Step-by-step explanation:

First you multiply the Principle (1300) Rate (in decimal form which is 0.118) Time (2 years = 24 months). 1300(0.118)(2) = 306.8 add principle (1300) = $1606.8 divide by 2 years in month form (24) = $66.95

Comment if confusing.

The bond price is 1, it implies that the payoff of the bond at t=2 is equal to the consumption at t=2. Therefore, there is no need for the consumers to invest in illiquid assets when the bond market is in equilibrium.

(a) To derive the first-order condition for the optimal level of illiquid investment for an individual consumer, we need to maximize their utility function subject to their budget constraint.

For an impatient consumer, the utility function is given by:

U_i(t=1) = ln(C_i(t=1))

where C_i(t=1) represents the consumption of the impatient consumer at t=1.

For a patient consumer, the utility function is given by:

U_p(t=2) = ln(C_p(t=2))

where C_p(t=2) represents the consumption of the patient consumer at t=2.

Let I_i represent the investment in illiquid assets for the impatient consumer and I_p represent the investment in illiquid assets for the patient consumer.

The budget constraint for both consumers at t=1 is:

C_i(t=1) + I_i = 1

The budget constraint for the patient consumer at t=2 is:

C_p(t=2) + (1-p)I_p = 1

where p represents the price of the bond at t=1.

To find the optimal level of illiquid investment for an individual consumer, we need to maximize their utility function subject to the budget constraint. We can set up the Lagrangian function for the impatient consumer as follows:

L_i = ln(C_i(t=1)) + λ_i(C_i(t=1) + I_i - 1)

Taking the derivative with respect to C_i(t=1) and setting it equal to zero, we have:

∂L_i/∂C_i(t=1) = 1/C_i(t=1) + λ_i = 0

Solving for λ_i, we get:

λ_i = -1/C_i(t=1)

Similarly, we can set up the Lagrangian function for the patient consumer as follows:

L_p = ln(C_p(t=2)) + λ_p(C_p(t=2) + (1-p)I_p - 1)

Taking the derivative with respect to C_p(t=2) and setting it equal to zero, we have:

∂L_p/∂C_p(t=2) = 1/C_p(t=2) + λ_p = 0

Solving for λ_p, we get:

λ_p = -1/C_p(t=2)

To find the optimal level of illiquid investment for each consumer, we need to solve their respective first-order conditions:

For the impatient consumer:

1/C_i(t=1) = λ_i

1/C_i(t=1) = -1/C_i(t=1)

Simplifying, we get:

C_i(t=1) = 1

Therefore, the optimal level of illiquid investment for the impatient consumer is I_i = 0.

For the patient consumer:

1/C_p(t=2) = λ_p

1/C_p(t=2) = -1/C_p(t=2)

Simplifying, we get:

C_p(t=2) = 1

Therefore, the optimal level of illiquid investment for the patient consumer is:

C_p(t=2) + (1-p)I_p = 1

(1-p)I_p = 0

I_p = 0

In summary, the optimal level of illiquid investment for both the impatient and patient consumers is 0.

(b) The bond market is in equilibrium only when p = 1 because the impatient consumers have no incentive to invest in illiquid assets when the bond price is equal to 1. In this case, they can simply sell the bond at t=1 and consume the proceeds at t=2, which gives them the same utility as investing in illiquid assets.

The optimal level of illiquid investment in the bond market equilibrium is 0 for both the impatient and patient consumers. Since the bond price is 1, it implies that the payoff of the bond at t=2 is equal to the consumption at t=2. Therefore, there is no need for the consumers to invest in illiquid assets when the bond market is in equilibrium.

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i. weekly receipts at a clothing boutique

ii. monthly demand for an automotive part

Time series data refers to information collected and recorded at regular intervals over a specific period. In the case of i. weekly receipts at a clothing boutique and ii. monthly demand for an automotive part, both data sets are examples of time series data.

Time series data consists of observations recorded over regular intervals, allowing for the analysis of patterns and trends over time. In i. weekly receipts at a clothing boutique, the data is collected on a weekly basis, providing insights into the boutique's revenue fluctuations over different weeks. Similarly, ii. monthly demand for an automotive part captures the demand for the part on a monthly basis, enabling analysis of monthly variations and seasonal patterns.

On the other hand, iii. quarterly sales of automobiles do not fall under time series data. While it represents sales data, the intervals between measurements are not consistent enough to qualify as time series. Quarterly intervals are less frequent and may not capture shorter-term trends or variations as effectively as weekly or monthly intervals.

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Answer:

xz=255

Step-by-step explanation:

17 is prime so yz has to be 1*17

if that's the case xy=15*1

so 15*17=255

Converting milliliters to liters is a simple process that involves dividing the number of milliliters by 1,000. This formula will give you the equivalent number of liters for a given number of milliliters, which can be useful in a variety of contexts.

Converting between different units of measurement is an important skill in many fields, including science, engineering, and medicine. One common conversion is between milliliters (mL) and liters (L), which are both units of volume. In this case, converting milliliters to liters involves dividing the number of milliliters by a certain factor.

The formula for converting milliliters to liters is straightforward. One liter is equal to 1,000 milliliters. Therefore, to convert a given number of milliliters to liters, we simply divide that number by 1,000. The formula is as follows: L = mL / 1,000

For example, let's say we want to convert 5,000 milliliters to liters. Using the formula, we would divide 5,000 by 1,000, which gives us 5.0 liters. So, 5,000 milliliters is equivalent to 5.0 liters.

It's also worth noting that in many cases, you may find milliliter as a unit of measurement to specify the volume of medication or other small liquid quantities, while liters are commonly used to measure larger volumes of liquid such as fuel, water or container volume.

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Answer:

\(17\sqrt{2}\) ft

Step-by-step explanation:

take angle b as reference angle

using sin rule

sin 45 = opposite / hypotenuse

\(\frac{1}{\sqrt{2} }\) = 17 / BC

BC =17 / \(\frac{1}{\sqrt{2} }\)

BC = 17 * \(\sqrt{2}\)

BC =  \(17\sqrt{2}\) ft

Answer:

BC = 17\(\sqrt{2}\) ft

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = \(\frac{1}{\sqrt{2} }\) , then

sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{AC}{BC}\) = \(\frac{17}{BC}\) = \(\frac{1}{\sqrt{2} }\) ( cross- multiply )

BC = 17\(\sqrt{2}\) ft

Answer:

Step-by-step explanation:

4x + 2x = 90

6x = 90

x = 15

4(15)= 60 for <LMN

2(15)= 30

Answer:

101 divide by 102 multiply by 564

Answer:

30°,40°

Step-by-step explanation:

let the other angles be 3x and 4x

3x+4x+110=180

7x=180-110=70

x=70/7=10

3x=3×10=30

4x=4×10=40

Answer:

30° and 40°

Step-by-step explanation:

Sum of 3 angles in triangle is 180°

Sum of 2 missing angles= 180° -110°= 70°

Angles: 30° and 40°

The probability that Pierre will have to wait more than 30 more minutes, given that he has already waited 40 minutes, is 0.5000.

To calculate the probability, we need to make an assumption about the distribution of waiting times. Let's assume that the waiting times follow a normal distribution with a mean of μ and a standard deviation of σ.

Given that Pierre has already waited 40 minutes, we want to find the probability that his additional waiting time exceeds 30 minutes. In other words, we want to calculate P(X > 70), where X represents the total waiting time.

To compute this probability, we need to know the parameters of the normal distribution, specifically the mean and standard deviation. Without that information, we cannot provide an exact probability.

However, if we assume that the waiting times are normally distributed with a mean of μ = 0 and a standard deviation of σ = 1, we can use standard normal distribution tables or statistical software to find the probability.

From the standard normal distribution table, the probability of getting a value greater than 70 is 0.5000. Therefore, based on this assumption, the probability that Pierre will have to wait more than 30 more minutes, given that he has already waited 40 minutes, is 0.5000.

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Answer:

32= 2×2×2×2×2=2 power 5

Answer:

\(2^{-5}\)

Step-by-step explanation:

Using the rule of exponents

\(a^{-m}\) = \(\frac{1}{a^{m} }\)

Given

\(\frac{1}{32}\)

= \(\frac{1}{2^{5} }\)

= \(2^{-5}\)

Answer:

275 bicycles

Step-by-step explanation:

We are given the average cost per bicycle as;

C(x) = 0.2x² - 1.1x + 10.592

We will solve this by finding the derivative of the C(x) function which will give us the instantaneous slope. Thereafter, we will find the extremas which will occur when the instantaneous slope is equal to 0.

Thus, derivative of C(x) is;

C'(x) = 0.4x - 1.1

Equating to zero, we can find the extremas.

Thus;

0.4x - 1.1 = 0

x = 1.1/0.4

x = 2.75

To check if this is minimum of maximum, we will find the second derivative of C(x)

Thus;

C''(x) = 0.4

Thus is a positive value, and so it means the critical point is a minimum.

Thus, X = 2.75

We were told x is in hundreds of bicycles. Thus, X = 2.75 × 100 = 275 bikes

Therefore, you have 25 dogs at the shelter.

Answer:

25

Step-by-step explanation:

We can take our ratio of 3:5 and multiply it by 5 to give us the number of cats we have. We get 15:25. Meaning we have 25 dogs.

Answer:

the correct answer is c) trapezoid

Step-by-step explanation:

got it right on edge quiz

Answer:

C

Step-by-step explanation:

Answer:

same side interior angles

and we have parallel lines so

x+17+x+117=180°

The dimensions of the column and row spaces of A are:

dim Col A = 3

dim Row A = 3

The nullity of a matrix A is the dimension of the null space of A. By the rank-nullity theorem, the rank of A plus the nullity of A equals the number of columns of A. Since A is a 4 x 6 matrix, it has 6 columns. Therefore, the rank of A is 6 - 3 = 3.

The dimension of the column space of A is equal to the rank of A, which is 3. This is because the column space is spanned by the columns of A, and the rank of A is the maximum number of linearly independent columns.

The dimension of the row space of A is also 3. This is because the row space is the orthogonal complement of the null space, and the null space has dimension 3. Therefore, the row space has dimension 6 - 3 = 3.

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Answer:

53

Step-by-step explanation:

65=x+12

-12. -12

53=x

The force is 1.6N and the distance between them is 1.3 meters

An inverse variation from force to the square of distance is represented s:

k = Fd^2

Where k represents the variation constant

When F = 10, d = 2.

So, we have:

k = 10 * 2^2

k = 40

Substitute k = 40 in k = Fd^2

Fd^2 = 40

When d = 5, we have:

F * 5^2 = 40

This gives

25F = 40

Divide by 25

F = 1.6

Hence, the force is 1.6N

In (a), we have:

Fd^2 = 40

When F = 25, we have:

25 * d^2 = 40

This gives

25d^2 = 40

Divide by 25

d^2 = 1.6

Take the square root of both sides

d = 1.3

Hence, the distance between them is 1.3 meters

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Answer

\(1/6\)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The answer is A

P.S i am emo

In economics, the SRAS curve represents the short-run aggregate supply, which depicts the relationship between the price level and the quantity of output supplied in the short run. There are two versions of the SRAS curve: one with flexible prices and one with sticky prices. The Hayekian Triangle is a graphical representation of the interplay between time, capital, and production in an economy.

AA decrease in patience, within the context of the Hayekian Triangle, implies a shift in time preferences and can have implications for resource allocation.

In economics, the SRAS curve illustrates the short-run aggregate supply, which shows the relationship between the overall price level and the quantity of output supplied in the short run. The SRAS curve with flexible prices is upward sloping, indicating that as prices rise, firms are willing and able to produce more output due to higher profitability. On the other hand, the SRAS curve with sticky prices is relatively flat, indicating that firms are unable or unwilling to adjust prices immediately in response to changes in demand or production costs. This stickiness can be caused by factors such as contracts, menu costs, or market imperfections.
The Hayekian Triangle, named after economist Friedrich Hayek, is a graphical representation of the interplay between time, capital, and production in an economy. It illustrates the trade-offs and decisions made by individuals and businesses based on their time preferences and the availability of capital goods. The triangle consists of three vertices: time, consumption goods, and production goods. It represents the process of using time and capital goods to transform resources into consumption goods.
A decrease in patience, within the context of the Hayekian Triangle, implies a shift in time preferences. When individuals and businesses become less patient, they place greater emphasis on immediate consumption rather than saving or investing in production goods. This shift in time preferences can have implications for resource allocation. If there is a decrease in patience, it may lead to reduced savings and investment, resulting in a lower capital stock and potentially lower future productivity and economic growth. It highlights the importance of balancing present consumption with future-oriented investments to maintain sustainable economic development.

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