You are considering a project in Bolivia that would generate 3 million dollars in cash flows per year going forever. The cost of the project is 10 million dollars. The discount rate for the project is 15%. You believe that there is some probability of expropriation prior to the 3rd year (after the 2nd cash flow). Which of the following statements is most correct?
a. This is a good project if the probability of expropriation is larger than.33.
b. This is a good project if the probability of expropriation is smaller than.33.
c. This is a good project if the probability of expropriation is smaller than .
d. This is a good project if the probability of expropriation is smaller than .66.

Answer:

58

Step-by-step explanation:

45=((3x+11)+(10x-12))÷2

90=13x-1

13x=91

x=7

ML=10(7)-12

    =58

Using midline interval, the value of ML is 58.

The distance from the "midline of the interval to either end line is called midline interval".

According to the question,

The line JK is 3x+11, the line ML is 10x - 12. In order to find the value of ML.

The formula to calculate value of ML is midline value =  \(\frac{(x1 + x2)}{2}\).

Let x₁ = 3x + 11 and x₂ = 10x - 12

45 = \(\frac{(3x + 11) + (10x - 12 )}{2}\)

90 = 3x + 11 + 10x -12

     = 13x -1

13x = 91

   x = 7

Substitute x = 7, in equation x₂ we get 10(7) - 12 = 70 - 12 = 58.

Hence, using midline interval the value of ML is 58.

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Answer:

graph A shows all natural numbers less than 3

Step-by-step explanation:

Answer:

The Answer Is B

Step-by-step explanation:

Answer:

n=-13, n=12

Step-by-step explanation:

Answer: n = 12, -13

We have to isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

1 hour

Step-by-step explanation:

300/6= 50

in one hour he drives 50 miles

so the answer is 1 hour

The solution of the quadratic equation by completing the square is:

x = -4 ± 2√3

The quadratic equation is given as:

f(x) = x² + 8x + 4

Group terms that contain the same variable, and move the constant to the opposite side of the equation if equated to zero to get:

x² + 8x = -4

Complete the square. Remember to balance the equation by adding the same constants to each side.

Ad the square of half the coefficient of x to both sides to get:

x² + 8x + 4² = -4 + 16

x² + 8x + 16 = 12

Rewrite as perfect squares to get:

(x + 4)² = 12

Take the square root of both sides to get:

x + 4 = ±2√3

x = -4 ± 2√3

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Answer:

no fred is not correct

Step-by-step explanation:

so u say

5/8×6/1

then u say 5×6=30

then u say 8×1=8

then u say 30÷8= 3.75

so yr answer is =3.75

hope u understand

Answer:

im pretty sure the answer is (-5,-7)?

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

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The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Answer:

Hi, I'd be happy to help. Is there a photo you can attach of the problem you need help with?

Answer:

15 miles per hour

Step-by-step explanation:

12 miles per hour / 60 mins = 0.2 miles per minute

0.2 mpm * 10 mins = 2 miles (it takes her 10 mins to travel 2 miles)

at to 2 minutes shes already 0.4 miles ahead of her brother.

he will have to travel to school in 8 mins to arrive at the same time as his sister so his speed will have to be x*8= 2 so x=2/8 or 0.25 so his speed will have to 0.25 mpm so 0.25*60= 15

his speed should be 15 miles per hour

Tan(x/2) = (1 + cosx)/sinx is equivalent to the trigonometric identity cscx

An equation is an expression that can be used to show the relationship between variables and numbers.

Trigonometric identities are based on the six trigonometric ratios. They are sine, cosine, tangent, cosecant, secant, and cotangent.

It is given as:

tanФ = sinФ/cosФ, cotФ = 1/tanФ = cosФ/sinФ, cosecФ = 1/sinФ and secФ = 1/cosФ

According to half angle formula:

tan(x/2) = (1 + cosx)/sinx

Hence:

tan(x/2) + cotx = [(1 - cosx)/sinx] + (cosx/sinx)

tan(x/2) + cotx = (1 - cosx + cosx)/sinx

= 1/sinx

= cscx

Therefore tan(x/2) = (1 + cosx)/sinx is equivalent to cscx

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Answer:

a) 96.64% probability that maximum speed is at most 50 km/h

b) 24.67% probability that maximum speed is at least 48 km/h

c) 86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 46.8, \sigma = 1.75\)

A. What is the probability that maximum speed is at most 50 km/h?

This is the pvalue of Z when X = 50. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{50 - 46.8}{1.75}\)

\(Z = 1.83\)

\(Z = 1.83\) has a pvalue of 0.9664

96.64% probability that maximum speed is at most 50 km/h.

B. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48.

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{48 - 46.8}{1.75}\)

\(Z = 0.685\)

\(Z = 0.685\) has a pvalue of 0.7533

1 - 0.7533 = 0.2467

24.67% probability that maximum speed is at least 48 km/h.

C. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

Z = 1.5 has a pvalue of 0.9332

Z = -1.5 has a pvalue of 0.0668

0.9332 - 0.0668 = 0.8664

86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

Answer:

-13

Step-by-step explanation:

it must be either -11 or -13. -13 is less  than -12.

Answer:

(a) 56%

(b) 28%

Step-by-step explanation:

Hope this helps! :)

As a result, we have demonstrated that it is always possible to remove 88 numbers from a 100-digit integer while keeping the remainder divisible by 101.

If a number has an even number of numbers, add the very first digit and deduct the last character from the remainder. 3784 can be divided by 11 thus. Subtract the initial and final numbers from the remainder of the number if the amount of digits is unusual. 82907 can be divided by 11 thus.

Let the 100-digit number be represented by:

a₁a₂a₃...a₉₉a₁₀₀

where each \(a^{i}\) is a non-zero digit.

We can represent this number as the sum of its digits multiplied by powers of 10:

N = a₁ × 10⁹⁹+a₂ × 10⁹⁸+a₃ × 10⁹⁷+...+a₉₉ × 10¹+a₁₀₀ × 10⁰

We want to show that we can delete 88 of the digits of this number to obtain a new number that is divisible by 101. Let's consider the remainders of N when divided by 101:

N = a₁ × (-1)⁹⁹+a₂ × (-1)⁹⁸+a₃ ₓ (-1)⁹⁷+...+a₉₉ ₓ (-1)¹+a₁₀₀ ₓ (-1)⁰(mod 101)

N = (-a₁+a₂-a₃+...+a₉₈-a₉₉)+(a₉₉-a₁₀₀)(mod 101)

Finding a subgroup of 12 numbers from this number whose total is divisible by 101 is our goal. We can apply the Pigeonhole Principle since we only need to locate 12 of the 100 numbers.

The 100 numbers should be divided into 12 sets of 9 digits each (except for the last group which contains 4 digits). The total of the numbers in at least one of these categories must be divisible by 101 according to the Pigeonhole Principle.

Let's assume that the total of the i-th group is 101-divisible. We can eliminate all of the numbers from the other 11 groups and only retain the digits from group i. This will result in a 9-digit number whose total is divisible by 101 and whose numbers are all non-zero.

Once we have nine groups that give us 9-digit numbers with sums that are all divisible by 101, we can continue this procedure an additional eight times by choosing another group with a sum that is divisible by 101.

Then, by adding these 9 numbers together, we can create an 81-digit number with non-zero digits and a total that is divided by 101. By adding 7 non-zero numbers at the conclusion, this number can be made into an 88-digit number.

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The equivalent expressions to \(24^{-7}\) are given as follows:

C. \(\left(\frac{1}{24^{-7}}\right)^{-1}\)

F. \((24^3 \times 24^4)^{-1}\)

Equivalent expressions are expressions that have the same value for all possible values of the variables. In other words, equivalent expressions are different ways of writing the same mathematical idea.

The exponent in the denominator can be moved to the numerator with the changed signal, hence:

\(\left(\frac{1}{24^{-7}}\right)^{-1} = (24^7)^{-1}\)

Applying the power of power rule, we multiply the powers, hence:

\((24^7)^{-1} = 24^{-7}\)

When two terms with the same base and different exponents are multiplied, we add the bases and keep the exponents, hence:

\((24^3 \times 24^4)^{-1} = (24^7)^{-1} = 24^{-7}\)

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Step-by-step explanation:

To find the range, we need to subtract the smallest value from the largest value in the dataset:

Range = Largest value - Smallest value

Range = 92 - 3

Range = 89

To find the variance and standard deviation, we need to calculate the mean first:

Mean = (Sum of all values) / (Number of values)

Mean = (92+19+41+24+75+53+70+3+67+64+9) / 11

Mean = 45.09 (rounded to two decimal places)

Next, we need to calculate the variance:

Variance = (Sum of squared differences from the mean) / (Number of values - 1)

Variance = [(92-45.09)^2 + (19-45.09)^2 + (41-45.09)^2 + (24-45.09)^2 + (75-45.09)^2 + (53-45.09)^2 + (70-45.09)^2 + (3-45.09)^2 + (67-45.09)^2 + (64-45.09)^2 + (9-45.09)^2] / (11-1)

Variance = 1071.45 (rounded to two decimal places)

Finally, we can calculate the standard deviation by taking the square root of the variance:

Standard deviation = Square root of variance

Standard deviation = Square root of 1071.45

Standard deviation = 32.74 (rounded to two decimal places)

The range tells us the difference between the highest and lowest values in the dataset, which in this case is 89. The variance and standard deviation tell us how spread out the data is from the mean. The higher the variance and standard deviation, the more spread out the data is. In this case, the variance and standard deviation are both relatively high, indicating that the data is fairly spread out.

Answer:

37.7 feet

Step-by-step explanation:

The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius, where π (pi) is approximately 3.14159.

For example, if we have a circle with a radius of 3 feet, its circumference would be approximately 18.85 feet (rounded to five decimal places).

When we double the radius to 6 feet, the circumference also doubles. In this case, the circumference would be approximately 37.70 feet (rounded to five decimal places).

In summary, when the radius of a circle doubles, the circumference also doubles, maintaining a direct proportional relationship between the two measurements.

Answer:

Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.

Question 2: To find the standard deviation, we first need to find the mean:

Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0

Next, we find the difference between each data point and the mean:

(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)

19, -4, 2, -114, -4, 19, 9, 19, 6, -2

Then we square each difference:

361, 16, 4, 12996, 16, 361, 81, 361, 36, 4

The sum of these squared differences is:

361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136

To find the variance, we divide the sum of squared differences by the number of data points minus one:

Variance = 14136 / 9 = 1570.7

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The bottom-right most cell tells us that the total number of students that responded to the survey is 310 students.

To find the answer, we can go through each choice.

A. Females taking Geometry

Row 1 Column 2 tells us that 53 females are taking geometry. 53/310 is about 17%.

B. Females taking Algebra II.

Row 1 Colume 3 tells us that 62 females are taking Algebra II. 62/310 is 20%.

C. Males taking Geometry.

Row 2 Colume 2 tells us that 59 males are taking Geometry. 59/310 is about 19%. Choice C is correct.

D. Males taking Algebra I.

44 out of the total 310 respondents are male and is taking Algebra I. 44/310 is about 14%.

Answer:

C

Step-by-step explanation:

59/310 *100 = 19.03%

so 19%

Answer:

4xy^2z

assuming those numbers after the first ones are exponents

Maybe 28kms in 1 hour

Or 2,8kms because 7/10 is 0,7km

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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Answer:

the wholesale discount is 28%.

Step-by-step explanation:

To find the wholesale discount, we need to calculate the difference between the retail price and the wholesale price as a percentage of the retail price. We can use the following formula:

Wholesale discount = ((Retail price - Wholesale price) / Retail price) x 100%

Substituting the given values into the formula, we get:

Wholesale discount = ((1320 - 950.40) / 1320) x 100%

Wholesale discount = (369.60 / 1320) x 100%

Wholesale discount = 0.28 x 100%

Therefore, the wholesale discount is 28%.

To write the answer as a whole number or an exact decimal, we can multiply 0.28 by 100 to get:

Wholesale discount = 28%

So the wholesale discount is 28%.

Answer:

Hope it helpsssssss

Step-by-step explanation:

4/7, 8/14, 12/21, 16/28, 20/35, 24/42, 28/49, 32/56, 36/63, 40/70, and so on

Answer:

1:4

2:8

3:12

4:16

5:20

6:24

7:28

8:32

9:36

10:40

Step-by-step explanation:

Answer:

280

Step-by-step explanation:

Answer:

8×35=280.

This is the best I can give to you

Answer:  3 & 6/11 (choice B)

===========================================

Work Shown:

39/11 = (33 + 6)/11

39/11 = (33/11) + (6/11)

39/11 = 3 + (6/11)

39/11 = 3 & 6/11

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

Or you could use a calculator to see that

39/11 = 3.545 approximately

The whole part is 3 which is the stuff to the left of the decimal point.

The remainder is 39-3*11 = 39-33 = 6 which is the numerator of the fractional part. Therefore the improper fraction 39/11 converts to the mixed number 3 & 6/11.