Pls help due like- right on
Natalie is shopping for new clothes and does not want to spend more than $65. She buys one dress for $26 and wants to buy a few shirts that cost $13 each.

What is the maximum number of shirts she can buy?

The rate of change of the annual u.s. factory sales in 2000 is 7.7 billion dollars per year

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

s(t) = 0.12t² − t + 5.7

In 2000, we have the value of t to be

t = 2000 - 1990

Evaluate

t = 10

So, we have

s(10) = 0.12 * 10² − 10 + 5.7

Evaluate

s(10) = 7.7

Hence, the rate in 2000 is 7.7 billion dollars per year

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Question

the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year

Calculate the rate of change in 2000

The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D with three variables.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The functions of a point (or vector) in R2 or R3 that have real values will now be looked at. These functions will typically be defined on sets of points in R2, but there will be occasions when we utilise points in R3 and when it is more convenient to think of the points as vectors (or terminal points of vectors).

Each point f(x,y) in D is given a real number f(x,y) according to a real-valued function f defined on a subset D of R2. The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D, and the range of f is the greatest set D in R2 on which f is defined.

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Main Answer: The slope of a steep upward-sloping line will be a positive.

Supporting Question and Answer:

How is the slope of a line calculated?

The slope of a line is calculated by dividing the change in the y-coordinate (vertical change) between any two points on the line by the change in the x-coordinate(horizontal change)between the same two points.This is represented by the formula:

slope= \(\frac{(y_2-y_1)}{(x_2-x_1)}\) ,where \((x_1,y_1)\) and \((x_2,y_2)\) are two points on the line.

Body of the Solution:In mathematics, the slope of a line is defined as the ratio of the change in the y-coordinate to the change in the x-coordinate between any two points on the line. A positive slope indicates that the line is increasing in the y-direction as the x-coordinate increases.

A steep upward-sloping line means that the line is increasing rapidly in the y-direction as the x-coordinate increases, and therefore the slope of the line will be a large positive number. Conversely, a steep downward-sloping line will have a large negative slope, indicating that the line is decreasing rapidly in the y-direction as the x-coordinate increases.

Therefore, the slope of a steep upward-sloping line will be a positive.

Final Answer:The slope of a steep upward-sloping line will be a positive.

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Answer:

Step-by-step explanation:

approximately 68 percent of the parts are predicted to wear out between 1,017 and 1,183 hours of operation.

To determine the range of hours within which approximately 68 percent of the parts are predicted to wear out, we can use the concept of the empirical rule, also known as the 68-95-99.7 rule. According to this rule, for a normal distribution:

- Approximately 68 percent of the data falls within one standard deviation of the mean.

- Approximately 95 percent falls within two standard deviations.

- Approximately 99.7 percent falls within three standard deviations.

In this case, we have a normal distribution with a mean of 1,100 hours and a standard deviation of 83 hours.

To find the range within which approximately 68 percent of the parts are predicted to wear out, we calculate one standard deviation above and below the mean:

Lower bound: Mean - 1 * Standard Deviation = 1,100 - 83 = 1,017 hours

Upper bound: Mean + 1 * Standard Deviation = 1,100 + 83 = 1,183 hours

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The profit for one small cake is approximately £0.3564.

To find the profit for one small cake, let's assign variables to represent the profits. Let's call the profit for one small cake "P_s," the profit for one medium cake "P_m," and the profit for one large cake "P_l."

Given information:

The ratio of small to medium to large cakes sold is 9:5:12.

The profit for one medium cake is three times the profit for one small cake.

The profit for one large cake is four times the profit for one small cake.

The total profit is £815.76.

We can set up equations based on the given information:

P_m = 3P_s (Profit for one medium cake is three times the profit for one small cake)

P_l = 4P_s (Profit for one large cake is four times the profit for one small cake)

Total profit = 286P_s + 286P_m + 286P_l = £815.76 (Total profit is the sum of profits for each cake sold)

Since we know the ratio of small, medium, and large cakes sold, we can express the number of each cake sold in terms of the ratio:

Let's assume the common ratio is "x," so we have:

Small cakes sold = 9x

Medium cakes sold = 5x

Large cakes sold = 12x

Now we can substitute these values into the total profit equation:

286P_s + 286P_m + 286P_l = £815.76

Substituting P_m = 3P_s and P_l = 4P_s:

286P_s + 286(3P_s) + 286(4P_s) = £815.76

Simplifying:

286P_s + 858P_s + 1144P_s = £815.76

2288P_s = £815.76

Dividing both sides by 2288:

P_s = £815.76 / 2288

P_s ≈ £0.3564

Therefore, the profit for one small cake is approximately £0.3564.

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Answer:

8

Step-by-step explanation:

plug -2 in for x

2(-2)2

mult. 2 and -2

-4 times 2

8

Answer:

B

Step-by-step explanation:

irrational is incomplete square roots, pi, and infinite numbers

Answer:

Only B

Step-by-step explanation:

7 is rational, and √3 is irraltional.

answers c and d both are both wrong, because they dosen't say that one is rational and the other is irrational.

A is wrong, because if you add a rational number to a irrational number, it is still irrational.

Hope this helped!

Answer:

153.9 in²

Step-by-step explanation:

Using the formula: A = π r²

Where r = the radius and π is 3.14.

The radius is the diameter divided by 2.

14 divided by 2 is 7.

Plug in 7 into the formula:

A = π 7²

7² is 49.

49 times π is equal to 153.86.

Rounding this up to the nearest tenth, you'll get 153.9

Answer:

interior angle = 58°; exterior angle = 122°

Step-by-step explanation:

For all polygons, an interior angle and its accompanying exterior angle are always supplementary and thus equal 180°.

Thus, we can first find g by making the sum of the equation given for the interior angle and the equation given for the exterior angle equal to 180 and solve for g:

\((2g+16)+(4g+38)=180\\2g+16+4g+38=180\\6g+54=180\\6g=126\\g=21\)

Now, we can first find the measure of interior angle X by plugging in g for 21:

\(X=2(21)+16\\X=42+16\\X=58\)

Finally, we can find the measure of the exterior angle by either plugging in g for the equation or simply by subtracting 58 from 180 since the interior and exterior angle are supplementary and equal 180:

Exterior angle = 180 - 58

Exterior angle = 122

Trader Bubba Industries should recommend buying the solar truck as it has a higher NPV than the electric-powered truck.

a) After-tax cost of the loans

The cost of the loan is given as $50 million borrowed at 3%. The tax rate is 40%.

Formula to calculate the after-tax cost of debt: After-tax cost of debt = cost of debt * (1 - tax rate)

After-tax cost of the loan = 3% * (1 - 0.4) = 1.8%

b) After-tax cost of the bonds

The cost of the bonds is given as $200 million, paying 4% coupon with semi-annual payments, and maturity of 10 years. Trader Bubba sold its $1,000 par-value bonds for $1020 and had to incur $20 flotation cost per bond. The tax rate is 40%.

Formula to calculate the after-tax cost of debt: After-tax cost of debt = cost of debt * (1 - tax rate) * (1 - flotation cost) / (1 - tax rate)

After-tax cost of bonds = 4% * (1 - 0.4) * (1 - 0.02) / (1 - 0.4) = 2.424%

c) After-tax cost of the preferred stocks

The cost of preferred stocks is given as $100 million, paying $15 dividends per share. Trader Bubba sold its preferred shares for $220 and had to incur $20 per share flotation cost. The tax rate is 40%.

Formula to calculate the after-tax cost of preferred stocks: After-tax cost of preferred stocks = cost of preferred stocks * (1 - flotation cost / market price) / (1 - tax rate)

After-tax cost of preferred stocks = $15 * (1 - 20 / 220) / (1 - 0.4) = 9.75%

d) After-tax cost of the common stocks

The beta of common stocks is given as 2, the risk-free rate is 2%, and the market rate is 6%. The tax rate is 40%.

Formula to calculate the after-tax cost of common stocks: After-tax cost of common stocks = risk-free rate + beta * (market rate - risk-free rate) * (1 - tax rate)

After-tax cost of common stocks = 2% + 2 * (6% - 2%) * (1 - 0.4) = 5.2%

e) Weighted average cost of capital (WACC)

WACC = w1r1 + w2r2 + w3r3 + w4r4

Where w = weight,

r = cost of capital.

W1 = $50 million / $400 million = 0.125 or 12.5% (weight of loans)

W2 = $200 million / $400 million = 0.5 or 50% (weight of bonds)

W3 = $100 million / $400 million = 0.25 or 25% (weight of preferred stocks)

W4 = $50 million / $400 million = 0.125 or 12.5% (weight of common stocks)

WACC = 0.125 * 1.8% + 0.5 * 2.424% + 0.25 * 9.75% + 0.125 * 5.2% = 3.874%

f) Net Present Value (NPV) and Internal Rate of Return (IRR) for both types of trucks

Formula to calculate NPV: NPV = -Initial Investment + ∑(Net Cash Flows / (1 + r)t)

Where Initial Investment is the cost of the truck,

Net Cash Flows are the cash flows of each year,

r is the discount rate, and

t is the year.

For the solar truck,Initial investment = $30,000

Net Cash Flows per year = $8,000

Discount rate = WACC

NPV = -$30,000 + $8,000 / (1 + 3.874%) + $8,000 / (1 + 3.874%)2 + ... + $8,000 / (1 + 3.874%)8 = $28,845.80IRR = 12.23%

For the electric-powered truck,Initial investment = $20,000

Net Cash Flows per year = $5,000

Discount rate = WACC

NPV = -$20,000 + $5,000 / (1 + 3.874%) + $5,000 / (1 + 3.874%)2 + ... + $5,000 / (1 + 3.874%)8 = $17,716.80IRR = 13.15%

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I don't have personal feelings, emotions, or diversity elements. However, I can provide you with a general explanation of how diversity can impact an individual and their role in a team or organization.

1. Feelings about being different: People's feelings about being different can vary. Some may feel proud and empowered by their unique experiences, while others may feel isolated or misunderstood. Embracing and celebrating one's differences can lead to increased self-esteem and personal growth.

2. Elements of diversity to be proud of: Individuals might be proud of their cultural background, language, traditions, or unique talents and skills. These elements can bring a wealth of knowledge and experience to a team or organization, fostering creativity and innovation.

3. Changing an element to be less diverse: While diversity is generally beneficial, an individual might wish to change an element to be less diverse in order to fit in or avoid discrimination. It's important to recognize that everyone's experiences and perspectives are valuable, and true progress comes from embracing diversity rather than trying to suppress it.

4. How differences contribute to a team or organization: Diverse perspectives and experiences can lead to better problem-solving, innovation, and understanding of different customer needs. Diversity also fosters a more inclusive and welcoming environment, attracting a wider range of talent and promoting employee satisfaction and retention.

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Answer:

5 1/5

Step-by-step explanation:

you set up the fraction in the division bracket with the denominator staying the same in the final answer. The denominator will go on the inside, and the 5 on the outside.

5 1/5 :)))))))))))))))))))))))))))))))))))))))))))

The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the confidence coefficient.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

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Answer:

(a) Maximax criterion: Order 200 books.

(b) Maximin criterion: Order 200 books.

(c) Equally likely criterion: Order 200 books.

(d) Criterion of realism with a = 0.7: Calculate the expected payoff based on the chosen value of a and select the corresponding option.

(e) Minimax regret criterion: Order 200 books.

Step-by-step explanation:

The maximax criterion involves selecting the option with the highest possible payoff. We will calculate the maximum payoff for each option and choose the one with the highest value.Payoff for ordering 50 books:

Revenue = 30 * 50 = $1500

Maximum payoff = $1500Payoff for ordering 100 books:

Revenue = 30 * 100 = $3000

Maximum payoff = $3000Payoff for ordering 150 books:

Revenue = 30 * 150 = $4500

Maximum payoff = $4500Payoff for ordering 200 books:

Revenue = 30 * 200 = $6000

Maximum payoff = $6000Based on the maximax criterion, Waldo should choose the option of ordering 200 books since it has the highest maximum payoff.(b) Maximin Criterion:

The maximin criterion involves selecting the option with the highest minimum payoff. We will calculate the minimum payoff for each option and choose the one with the highest value.Payoff for ordering 50 books:

Revenue = 30 * 50 - (20 * 50 - 4 * 50) = $900

Minimum payoff = $900Payoff for ordering 100 books:

Revenue = 30 * 100 - (20 * 100 - 4 * 100) = $1800

Minimum payoff = $1800Payoff for ordering 150 books:

Revenue = 30 * 150 - (20 * 150 - 4 * 150) = $2700

Minimum payoff = $2700Payoff for ordering 200 books:

Revenue = 30 * 200 - (20 * 200 - 4 * 200) = $3600

Minimum payoff = $3600Based on the maximin criterion, Waldo should choose the option of ordering 200 books since it has the highest minimum payoff.(c) Equally Likely Criterion:

The equally likely criterion assumes that each demand level is equally likely to occur. We will calculate the expected payoff for each option and choose the one with the highest value.Expected payoff for ordering 50 books:

Expected revenue = (30 * 50 + 4 * (50 - 50)) / 4 = $375

Expected payoff = $375Expected payoff for ordering 100 books:

Expected revenue = (30 * 100 + 4 * (50 - 100)) / 4 = $750

Expected payoff = $750Expected payoff for ordering 150 books:

Expected revenue = (30 * 150 + 4 * (50 - 150)) / 4 = $1125

Expected payoff = $1125Expected payoff for ordering 200 books:

Expected revenue = (30 * 200 + 4 * (50 - 200)) / 4 = $1500

Expected payoff = $1500Based on the equally likely criterion, Waldo should choose the option of ordering 200 books since it has the highest expected payoff.(d) Criterion of Realism with a = 0.7:

The criterion of realism involves assigning a weight (0 ≤ a ≤ 1) to the optimistic payoff and the remaining weight (1 - a) to the pessimistic payoff. We will calculate the expected payoff for each option using the given value of a and choose the one with the highest value.Expected payoff for ordering 50 books:

Expected revenue = a * (30 * 50) + (1 - a) * (30 * 50 - 20 * 50 + 4 * 50) = $450a

Expected payoff = $450aExpected payoff for ordering 100 books:

Expected revenue = a * (30 * 100) + (1 - a) * (30 * 100 - 20 * 100 + 4 * 100) = $900a

Expected payoff = $900aExpected payoff for ordering 150 books:

Expected revenue = a * (30 * 150) + (1 - a) * (30 * 150 - 20 * 150 + 4 * 150) = $1350a

Expected payoff = $1350aExpected payoff for ordering 200 books:

Expected revenue = a * (30 * 200) + (1 - a) * (30 * 200 - 20 * 200 + 4 * 200) = $1800a

Expected payoff = $1800aTo find the maximum expected payoff, we can compare the values of a * 450, a * 900, a * 1350, and a * 1800 for different values of a. The optimal value of a will determine the corresponding option.(e) Minimax Regret Criterion:

The minimax regret criterion involves calculating the regret for each option and selecting the one with the minimum regret. Regret represents the difference between the maximum possible payoff and the actual payoff.Regret for ordering 50 books:

Regret = 6000 - (30 * 50 - (20 * 50 - 4 * 50)) = $5250

Minimum regret = $5250Regret for ordering 100 books:

Regret = 6000 - (30 * 100 - (20 * 100 - 4 * 100)) = $4200

Minimum regret = $4200Regret for ordering 150 books:

Regret = 6000 - (30 * 150 - (20 * 150 - 4 * 150)) = $3150

Minimum regret = $3150Regret for ordering 200 books:

Regret = 6000 - (30 * 200 - (20 * 200 - 4 * 200)) = $2100

Minimum regret = $2100Based on the minimax regret criterion, Waldo should choose the option of ordering 200 books since it has the minimum regret.

Waldo Books is facing a decision theory problem. By different criteria, the decision to order books can change. By maximax, Waldo should order 200 books, by maximin, 50 books. By equally likely, realism, and minimax regret criteria, computations considering payoffs, optimism levels, and potential regrets are needed.

This is a "decision theory problem" in the field of business and economics. Let's calculate the profit from each option. Profit will be $10 for each book sold (revenue of $30 minus cost of $20) and a loss of $16 for each book not sold (cost of $20 minus resell value of $4).

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The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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Step-by-step explanation:

\( \sin(20) = 3 \div x\)

Multiply both sides with x :

\( x \times \sin(20) = 3\)

And divide both sides with sin(20) :

\(x = 3 \div \sin(20) = 8.771\)

Which gives us x=8,771

Answer:

AB = 6

Step-by-step explanation:

sin 20° = 3/?

\(\frac{1}{2}\) = \(\frac{3}{x}\)

cross-multiply: x = 6

An injection does not prove that the cardinality of the first set is less than or equal to the cardinality of the second set. To determine the cardinality of sets, we need to compare the sizes of the sets using bijections. A bijection is a one-to-one correspondence between the elements of two sets.

If we can establish a bijection between the first set and the second set, then we can say that they have the same cardinality. In this case, the cardinality of the first set is equal to the cardinality of the second set.

However, if we can only establish an injection from the first set to the second set, it does not necessarily mean that the cardinality of the first set is less than or equal to the cardinality of the second set. An injection is a one-to-one mapping from the elements of the first set to the elements of the second set, but it does not guarantee that every element of the second set is being mapped to.

In conclusion, an injection alone is not enough to prove that the cardinality of the first set is less than or equal to the cardinality of the second set. The use of bijections is necessary for determining the equality of cardinalities.

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The three numbers are 4, 6, and 9.

Three numbers form a geometric progression.

Three numbers in a geometric progression can be written in terms of the first term (a) and the common ratio (r) as a, ar, ar². The second term is increased by 2, so the new terms are a, ar+2, ar².

Then the progression will become arithmetic: ar^2 - (ar+2) = (ar+2) - a

ar² - ar - 2 = ar + 2 - a

ar² - 2ar - a - 2 = 0 ...(1)

On solving equation (1), we get (r-1)(ar+2) = 0

If r = 1, then a, a+2, a+4 are in an arithmetic progression.

ar² + (ar+2+9) = (ar+2+9)²

ar² + ar + 11 = 0

On solving the above equation, we get:

r = (-1 ± √(1-4(11)a))/2a

As r ≠ 1, we have:

r = (-1+√(1-4(11)a))/2a

Substituting the value of r in equation (1), we get:

a = 4

Therefore, the three numbers are 4, 6, 9.

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Answer:

x=2, y=4. (2, 4).

Step-by-step explanation:

3x-3y=-6 implies 3(x-y)=3(-2), so x-y=-2.

-----------------------------

x-y=-2

3x+y=10

---------------

4x=8

x=8/4=2

2-y=-2

y=2-(-2)=2+2=4

Answer: (-12,-7), (10,-7), (-2,5)

Step-by-step explanation:

Start from original point and move 12 units in any direction to make the segment 12 units long.

So, you will need to make a monthly payment of 1312.26 for 36 months to pay off the balance.

If you choose to buy the TV, you must pay a deposit equal to 50000, or 20% of the entire price. Your deposit will therefore be 0.20 x 50000, or 10000.

The remaining 40,000 will be paid off over the course of 36 months at a 12% annual interest rate that is compounded each month. We must apply the following calculation to get the monthly payment:

Payment is equal to (PV x r x (1+r)n) / (1+rn - 1)

where n is the total number of payments, r is the monthly interest rate (12% / 12 = 1% per month), and PV is the present value (the balance that remains) (36 months).

When we change the values, we obtain:

Payment: (40000 x 0.01 x (1+0.01)36) / (1+0.01)36-1) = 1312.26

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The correct answer is option D. 1 1/2. This would mean that the difference between the medians is 1.5 times larger than the interquartile range for the boys.

The median is a measure of central tendency in a set of data, and it is the value that separates the data into two equal parts, with half of the values falling below it and half of the values falling above it. The interquartile range (IQR) is a measure of dispersion that describes the range of values within the middle 50% of the data.

In this case, the difference between the medians of boys and girls is described as a multiple of the interquartile range for the boys. This multiple would represent how many times larger or smaller the difference between the medians is than the IQR for the boys.

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Answer:

Step-by-step explanation:

Dimensions:

Area is:

Answer:

7

Step-by-step explanation:

note that 7³ = 343

then

\(\sqrt[3]{343}\)

= \(\sqrt[3]{7^3}\)

= 7

cos(θ) = -4√3/7 and it lies in 3rd quadrant and is in form of reduced radical.

To find cos(θ) given sin(θ) = -1/7 and θ is in the 3rd quadrant, we can use the Pythagorean identity: sin²(θ) + cos²(θ) = 1. Since sin(θ) is given as -1/7, we can substitute it into the equation and solve for cos(θ).

sin²(θ) + cos²(θ) = 1

(-1/7)² + cos²(θ) = 1

1/49 + cos²(θ) = 1

cos²(θ) = 1 - 1/49

cos²(θ) = 48/49

since θ is in the 3rd quadrant, where cosine is negative, we take the negative square root:

cos(θ) = -√(48/49)

cos(θ) = -√(48)/√(49)

cos(θ) = -√(48)/7

cos(θ) = -4√3/7

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The CPA Practice Advisor reports that the mean preparation fee for federal income tax returns was 261. Use this price as the population mean and assume the population standard deviation of preparation fees is 120.

We need to find the probability of selecting a random sample of 20 tax returns and a standard deviation of the sample preparation fees of 50 or less.

We use the central limit theorem that states that, regardless of the shape of the population, the sampling distribution of the sample means approaches a normal distribution with mean μ and standard deviation

σ/√n

where μ is the population mean, σ is the population standard deviation, and n is the sample size.

Therefore, we have:

\(\mu = 261\]\\sigma = $120\]\\n = 20\]\)

\(S.E.= \frac{\sigma}{\sqrt{n}}\\S.E =\frac{\ 120}{\sqrt{20}}\\S.E =26.83\)

The probability of selecting a random sample of 20 tax returns and a standard deviation of the sample preparation fees of 50 or less is given by:

\(P(Z < \frac{X - \mu}{S.E})\]\)

where X is the sample mean, μ is the population mean, and S.E is the standard error of the mean.

To calculate the probability, we standardize the distribution of the sample means using the z-score formula, i.e.,

\(\[z = \frac{X - \mu}{S.E} = \frac{\50 - \261}{\26.83} = -7.91\]\)

Therefore, the probability of selecting a random sample of 20 tax returns and a standard deviation of the sample preparation fees of 50 or less is zero because the z-score is less than the minimum z-score (i.e., -3.89) that corresponds to the probability of selecting a random sample of 20 tax returns and a standard deviation of the sample preparation fees of 50 or less.

Thus, it is impossible to obtain such a sample.

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Answer:

21/200

Step-by-step explanation:

28% × 3/8

28/100 × 3/8

84/800 = 21/200

Answer:

\( \boxed{\red{\frac{21}{200}}} \)

Step-by-step explanation:

\( \frac{3}{8} \times 28\% \\ \frac{3}{8} \times \frac{28}{100} \\ = \frac{84}{800} = \frac{21}{200} \)