solve similar triangles (advanced)

Answer: 1,285, 1,282, 1,278

Step-by-step explanation:

Answer:

1,285, 1,282, 1,278

Step-by-step explanation:

The value of the European call option on the stock, based on the given parameters, is $2.65. This is calculated using the Black-Scholes option pricing model with the provided stock price, strike price, risk-free rate, time to expiration, and implied volatility.

To calculate the value of the European call option, we can use the Black-Scholes option pricing model. The formula for the call option value is:

C = S * N(d1) - X * e^(-rT) * N(d2)

Where:

C is the call option value,
S is the current stock price,
N() represents the cumulative standard normal distribution function,
d1 = (ln(S/X) + (r + σ^2/2) * T) / (σ * √T),
d2 = d1 - σ * √T,
X is the strike price of the option,
r is the risk-free rate,
T is the time to expiration in years, and
σ is the volatility of the stock price.

Plugging in the given values, we have:

S = $73.07,
X = $73,
r = 0.05,
T = 0.2,
σ is the implied volatility.

By calculating the values of d1 and d2 using the provided formula, we can then use the cumulative standard normal distribution function to find N(d1) and N(d2). Finally, substituting all the values into the option pricing formula, we obtain the value of the European call option as $2.65.

This calculation assumes that the stock price follows a lognormal distribution, the market is efficient, and there are no transaction costs or taxes.

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Answer:

-1/2y+1/2x

Step-by-step explanation:

when you times -1/2 times you get -1/2 but when you get -1/2y- -1/2x

but when your working with integers if there is two negetive signs together than you will add      

Answer:

D

Step-by-step explanation:

EDGE 2021

Answer:

Kindly check explanation

Step-by-step explanation:

Give the line of best fit :

y = 1.62x + 18 ; where ;

y = wait time ; x = number of staffs available

If slope of the line is -1.62.

The slope of linear graph represents the ratio of change in the y variable and the x variable. With a slope value of - 1.62, the rate of change is negative and thus an increase in x will lead to a decrease in y. This means that for every unit increase in the number of staffs, the wait time reduces at a rate of 1.62 per unit.

Constructing a confidence interval for the mean of a distribution based on one sample is Confidence level = 1 - significance level.

The definition of the confidence level is (1-α). Zα is the number of standard deviations from the mean at which X with a certain probability lies. If Z = 1.96 is selected, the likelihood that the real mean falls inside the range is set at 0.95, hence we are asking for the 95% confidence interval.

Let us consider,

Confidence level = c

significance level \(= \alpha\)

\(c = 1 - \alpha\)

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Answer:

950

Step-by-step explanation:

380x100 divided by 40=950

Answer: 950

Step-by-step explanation:

Answer:

x = (8+y)/3

Step-by-step explanation:

3x-y=8

Add y to each side

3x-y+y=8+y

3x = 8+y

Divide each side by 3

3x/3 = (8+y)/3

x = (8+y)/3

Answer:

Step-by-step explanation:

3x = y - 8

x = y/3 + 8/3

Answer:

A

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the base radius and h the height )

Here r = 6 and h = 8, then

V = π × 6² × 8 = π × 36 × 8 = 288π cm³ → A

For n ≥ 459, Algorithm A is better than Algorithm B when B uses n√n operations.

To determine the value of n₀ for which Algorithm A is better than Algorithm B when B uses n√n operations, we need to find the point at which the number of operations for Algorithm A is less than the number of operations for Algorithm B.

Algorithm A: 10n log n operations

Algorithm B: n√n operations

Let's set up the inequality and solve for n₀:

10n log n < n√n

Dividing both sides by n gives:

10 log n < √n

Squaring both sides to eliminate the square root gives:

100 (log n)² < n

To solve this inequality, we can use trial and error or graph the functions to find the intersection point. After calculating, we find that n₀ is approximately 459. Therefore, For n ≥ 459, Algorithm A is better than Algorithm B when B uses n√n operations.

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R-1.3: For \($n \geq 14$\), Algorithm A is better than Algorithm B when B uses \($n^2$\) operations.

R-1.4: Algorithm A is always better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

R-1.3:

Algorithm A: \($10n \log n$\) operations

Algorithm B: \($n^2$\) operations

We want to determine the value of \($n_0$\) such that Algorithm A is better than Algorithm B for \($n \geq n_0$\).

We need to compare the growth rates:

\($10n \log n < n^2$\)

\($10 \log n < n$\)

\($\log n < \frac{n}{10}$\)

To solve this inequality, we can plot the graphs of \($y = \log n$\) and \($y = \frac{n}{10}$\) and find the point of intersection.

By observing the graphs, we can see that the two functions intersect at \($n \approx 14$\). Therefore, for \($n \geq 14$\), Algorithm A is better than Algorithm B.

R-1.4:

Algorithm A: \($10n \log n$\) operations

Algorithm B: \($n\sqrt{n}$\) operations

We want to determine the value of \($n_0$\) such that Algorithm A is better than Algorithm B for \($n \geq n_0$\).

We need to compare the growth rates:

\($10n \log n < n\sqrt{n}$\)

\($10 \log n < \sqrt{n}$\)

\($(10 \log n)^2 < n$\)

\($100 \log^2 n < n$\)

To solve this inequality, we can use numerical methods or make an approximation. By observing the inequality, we can see that the left-hand side \($(100 \log^2 n)$\) grows much slower than the right-hand side \($(n)$\) for large values of \($n$\).

Therefore, we can approximate that:

\($100 \log^2 n < n$\)

For large values of \($n$\), the left-hand side is negligible compared to the right-hand side. Hence, for \($n \geq 1$\), Algorithm A is better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

So, for R-1.4, the value of \($n_0$\) is 1, meaning Algorithm A is always better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

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Balloon's altitude = 43.7ft as

change in altitude/500 = tan 5°  

change in altitude = .0875*500

                              =43.7ft

Answer:

$10,080

Step-by-step explanation:

Monthly premium = $56

So, yearly premium = $56 × 12 = $672

Time period = 15 years

Now, we can calculate the total cost for 15 years period by using following formula,

Total cost = yearly premium × Time period

By putting the value, we get

Total cost = $672 × 15

= $10,080

Hence, total cost for 15 years period is $10,080.

Answer:

165.666666667

Step-by-step explanation:

prisms have six walls, so you divide 994 by six

Responder:

240 huevos

Explicación paso a paso:

Número de cajas de huevos = 4

Huevos por caja = 50

Total de huevos en caja = 50 * 4 = 200 huevos

Número de cajas = 3

Número de huevos por caja = 10

Total de huevos en caja = 10 * 4 = 40 huevos

Huevos totales = (huevos en caja + huevos en cartón)

Total = (200 + 40) = 240 huevos

Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17

(A)  The sample proportion (p') is 0.89.

(B) The critical value for a one-tailed test of proportion with a significance level of 0.10 is 1.28.

(C) To test if the population proportion is 0.85 at a significance level of 0.10.

(D) we reject the null hypothesis that the population proportion is 0.85.

A. The population proportion (p) is 0.85, as stated in the study. The sample proportion (p') is 0.89, calculated by dividing the number of teachers who use the internet (302) by the total sample size (340).

B. The critical value for a one-tailed test of proportion with a significance level of 0.10 is 1.28. This value is obtained from the standard normal distribution table for a one-tailed test at a 90% confidence level.

C. To test if the population proportion is 0.85 at a significance level of 0.10, we need to calculate the test statistic. The test statistic value is 2.47, which is calculated by taking the difference between the sample proportion (p') and the hypothesized population proportion (p), and then dividing it by the standard error.

D. Based on the calculated test statistic and the significance level, the decision would be to reject the null hypothesis. Since the test statistic (2.47) is greater than the critical value (1.28), we have evidence to suggest that the proportion of teachers using the internet to teach has increased significantly. Therefore, we reject the null hypothesis that the population proportion is 0.85.

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Answer:

x = 8cm

Step-by-step explanation:

17² = 15² + x²

289 = 225 + x²

- x² = 225 - 289

x² = 64

x = √64

x = 8

\({ \boxed{ \sf \color{blue}{answer}}}\)

x = 8 cm

Step-by-step explanation:

17² = 15² + x²

289 = 225 + x²

x² = 225 - 289

x² = 64

x = √64

x = 8

Teorema pythagoras

Answer:

-4 \(\leq\) x \(\leq\) 3

Step-by-step explanation:

The filled in dots mean that those numbers are included

The length should be x ≥ 3 inch and 4x ≥ 12 square inches.

The mathematical expression for inequality states that neither side is equal. In mathematics, inequality occurs when the relationship results in a non-equal comparison between two expressions or numbers. Any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠), can take the place of the equal sign "=" in this expression. Polynomial inequality, rational inequality, and absolute value inequality are the various kinds of mathematical inequalities.

Given a rectangle, length  = 4 inches

area is at least 12 square inches

inequality equation for area

A ≥ 12

area  = l x b

where l = length = 4 inches and b = breadth = x

A ≥ 12

4x ≥ 12

x ≥ 3 inches

Hence the breadth should be x ≥ 3 inches and equation of area is

4x ≥ 12 square inches.

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The complete question is,

Kendra is drawing a rectangle. The length will be 4 inches, and the area will be at least 12 square inches. Let x represent the width of the rectangle. Which inequality describes the problem?

To find the constant of proportionality, divide the total amount of basketballs that have been used by the total number of games. This will give you the rate of new basketballs per game:

Fill the column of "Number of NBA games" with the numbers from 1 to 9. Using the constant of proportionality, multiply each number in the first column by 3 to find how many basketballs are used depending on the number of games.

Remember: the proportional relationship being represented is the number of new basketbals that are used per game. The constant of proportionality is 27/9 = 3, and that's the value that belongs next to the 1 in the table.

The given third-order linear equation is (t - 2t^2)y' - 4y'' = -2t with y(3) = -2, y'(3) = 2, y''(3) = -3.

We can write this equation as a system of first-order linear equations with initial values by introducing three new variables x_1, x_2, and x_3 such that:

x_1 = y

x_2 = y'

x_3 = y''

with initial values x_1(3) = -2, x_2(3) = 2, x_3(3) = -3.

The resulting system of equations is:

x_1' = x_2

x_2' = x_3

x_3' = (2t^2 - t)x_2 - 4x_3 + 2t

This system can be solved numerically for the unknown functions x_1, x_2, and x_3 with the initial conditions given.

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Explanation:

From the properties of a parallelogramgiven in the image below, we will have that

From the parallelogram, we were given the opposite sides to be

Hence,

Since the property of a parallelogram states that opposite sides are equal, we will have that

Answer:

Maria

Step-by-step explanation:

A typical snake bite delivers 0.0045 grams of venom.

Maria wrote it in scientific notation as \(4.5\times 10^{-3}\)

Tammy wrote it in scientific notation as \(4.5\times 10^{3}\)

Any number can be written in the form of scientific notation as follows :

\(N=a\times 10^b\) (a is real no and b is integer)

The given no is 0.0045.

There are 2 zeroes before 4. Also the decimal is there before 2 zeroes.

\(0.0045=\dfrac{45}{10000}\\\\=\dfrac{45}{10}\times \dfrac{1}{1000}\\\\=4.5\times 10^{-3}\)

Hence, Maria is correct.

Answer:

I can't see the question so how can I answer it.if you want me to solve it for you the use a qualified camera

Answer:

Okay bestie ‼️

Step-by-step explanation:

The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²

The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t

The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.

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Answer:

A≈78.54cm² Diamter= 10

Step-by-step explanation:

hope this helps

Answer:

A=78.54 cm sq

Step-by-step explanation:

Using the formulas

A=πr2

d=2r

Solving for A

A=1

4πd2=1

4·π·102≈78.53982cm²