Find the value of c
1.)\((4)^{3c}*(4)^{5c}=4/16\)

The price of the zero-coupon bond with a $100 face value and 20 years to maturity, given a 4.9% yield to maturity, is approximately $38.41. The closest answer choice is A.



To calculate the price of a zero-coupon bond, we can use the formula:

Price = Face Value / (1 + YTM)^n

Where:

- Face Value is the bond's face value ($100 in this case)

- YTM is the yield to maturity (4.9%)

- n is the number of years to maturity (20 years)

Using the given values, we can calculate the price of the bond:

Price = $100 / (1 + 0.049)^20

Price = $100 / (1.049)^20

Price ≈ $38.41 (rounded to the nearest cent)

This calculation shows that the price of the bond is significantly lower than its face value, which is typical for zero-coupon bonds since they do not pay any periodic interest. Investors can purchase the bond at a discounted price and receive the face value upon maturity.

The price of the zero-coupon bond with a $100 face value and 20 years to maturity, given a 4.9% yield to maturity, is approximately $38.41. The closest answer choice is A.

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Answer: x = 5/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

One that has the next least in common with the rest.

The charted values that originate in a worksheet are called Chart Data Sources.

Charted values that originate in a worksheet are called Chart Data Sources. Chart Data Sources refer to the source data used to construct a chart in a spreadsheet program like Microsoft Excel. This data is usually contained in the worksheet cells and ranges used to plot the chart. The chart will then be updated as the data changes in the spreadsheets. Chart Data Sources can also refer to external data sources like databases, text files, or web services.

Therefore, the charted values that originate in a worksheet are called Chart Data Sources.

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Answer:

Step-by-step explanation:

36/25 = 1.44

√1.44 = 1.2

H = 45×1.2 = 54 cm

L = 80×1.2 = 96 cm

W = 25×1.2 = 30 cm

The right alternative to replace the question mark (?) is nik.

The given series is wfb, tgd, qhg. To find the right alternative to replace the question mark (?), we need to identify the pattern in the series.

Looking at the series, we can observe that the first letter in each term is moving back two steps in alphabetical order, while the second letter is moving forward one step, and the third letter is moving forward one step and then moving forward two steps which means that it is moving forward with "n+1" steps where n = 0, 1, 2, 3,...

Applying this, we can determine the next term in the series:

w → t → q → n

f → g → h → i

b → d → g → k

So, the next term comes to be "nik"

Therefore, the right alternative to replace the question mark (?) is "nik".

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Answer:

The force of friction is 19.1 N

Step-by-step explanation:

According to Newton's second law, the net force acting on the bag is equal to the product between its mass and its acceleration:

where

is the net force

m is the mass

a is the acceleration

The bag is moving at constant speed, so its acceleration is zero:

Therefore the net force is zero as well:

Here we are interested only in the forces acting along the horizontal direction, therefore the net force is given by:

where

is the horizontal component of the applied force, with

F = 22.5 N

is the force of friction

And solving for , we find

Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75. To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms.

For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395

For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266

For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122

To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923

Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75.

To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms. For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923. Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Answer:

(2, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Endpoint A(1, 2)

Endpoint B(3, 6)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Answer:

60 km/hr

Step-by-step explanation:

Let the speed at the initial average speed from Town X to Town Y be a.

We are told that it journeyed to Town Z at an average speed 20 km/h faster than its initial average speed. Thus, its average speed here is (a + 20) km/hr.

Town Y was 200 km from Town Z.

Thus, time spent here is;

t_2 = 200/(a + 20)

Time from X to Y is; t_1 = 150/a

We are told that it took the same time to travel for both parts of the journey.

Thus; t_1 = t_2

150/a = 200/(a + 20)

Cross multiply to get;

150(a + 20) = 200a

150a + 3000 = 200a

200a - 150a = 3000

50a = 3000

a = 3000/50

a = 60 km/hr

The number of ways of partitioning a set with n elements into two parts, where one part has 4 elements and the other part has the remaining elements, is given by the formula P=nC4*(n-4)!. This can be calculated using combinatorial analysis.

Given a set with n elements, we are required to partition this set into two parts where one part has 4 elements, and the other part has the remaining elements. We can calculate the number of ways in which this can be done using combinatorial analysis.

Let the given set be A, and let the number of ways of partitioning the set as required be denoted by P. We can compute P as follows:P= Choose 4 elements out of n × the number of ways of arranging the remaining elements= nC4 × (n - 4)!

Here, nC4 represents the number of ways of choosing 4 elements out of n elements, and (n - 4)! represents the number of ways of arranging the remaining n - 4 elements.

Suppose that we have a set with n elements such that n≥4. We want to partition the set into two subsets, where one of the subsets contains exactly four elements, and the other contains the remaining elements.

The number of ways of doing this can be found using the following formula:P = nC4 * (n-4)!

where nC4 is the binomial coefficient, which represents the number of ways of choosing four elements from n elements, and (n-4)! is the number of ways of arranging the remaining n-4 elements.

Thus, the above formula takes into account both the number of ways of choosing the four elements and the number of ways of arranging the remaining elements.

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Answer: \(2^4 \times 5\)

Step-by-step explanation:

\(80=2 \times 40\\\\80=2 \times 2 \times 20\\\\80=2 \times 2 \times 2 \times 10\\\\80=2 \times 2 \times 2 \times 2 \times 5\\\\80=2^4 \times 5\)

Answer:

65 degrees

Step-by-step explanation:

I recently answered a question in detail that was similar to this one. Feel free to look at my answered questions for it.

For this one, the easiest way to think about it is this. The line on which both angle 4 and angle 1 sit is a straight line, that makes them supplementary angles which is just a fancy word that means if you add them together they equal 180.

(angle 4) + (angle 1) = 180

And if (angle 1) = 115, then that means

(angle 4) = 180 - 115

(angle 4) = 65

Answer:

3x at the power of 2 -2x+21

ask for explanation if needed

The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.

Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.

The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.

In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.

The sentence can be rewritten as follows to make use of the word "been":

"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."

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The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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Answer:

See below

Step-by-step explanation:

Sandra's rate for baking pies is 11/day

Convert the four time questions to days:

1 Day:  (1 day)*(11 pies/day) = 11 pies

1 Week:  (1 Week)(7 days/week)*(11 pies/day) = 77 pies

2 weeks:  (2 Weeks)(7 days/week)*(11 pies/day) =154 pies

1 year:  (1 year)*(52 Weeks/year)(7 days/week)*(11 pies/day) =4004 pies

Step-by-step explanation:

Theoretical probability describes how likely an event is to occur. We know that a coin is equally likely to land heads or tails, so the theoretical probability of getting heads is 1/2. Experimental probability describes how frequently an event actually occurred in an experiment.

EXAMPLE-

Theoretical probability:

For instance, since a flipped coin has two sides and each side is equally likely to land up, the theoretical probability of landing heads (or tails) is exactly 1 out of 2.

Experimental probability:-

For example, the probability of getting a head if you flip a coin is ½, since only 2 things could happen (a head or a tail) and each one has an equal chance of occurring.

mark me as brainliest if possible. :)

Answer:

P = 14x + 4

Step-by-step explanation:

P = 2(3x) + 2(4x + 2)

P = 6x + 8x + 4

P = 14x + 4

Answer:

18000 milimeters  

Step-by-step explanation:

the conversion rate for meters to  1 to 1000

so you do 18*1000= 18000 milimeters  

Mark should administer 42 mcg of medication to his patient who weighs 70 kg.

Let \(\(x\)\) be the amount of medication Mark should deliver.

According to the manufacturer's recommendation, the dose of medication for healthy adults is 0.6 mcg for each kg they weigh. Since Mark's patient weighs 70 kg, the amount of medication Mark should administer can be represented by the following ratio equation:

\(\(\frac{x}{70} = \frac{0.6}{1}\)\)

In this equation, the numerator \(\(x\)\) represents the amount of medication Mark should deliver, and the denominator 70 represents the weight of the patient in kg.

The numerator and denominator are set in proportion to the recommended dose of 0.6 mcg per kg of body weight.

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Answer:

30:40

Step-by-step explanation:

Item A:  item B :  total

3                 4        3+4

3                  4          7

The total is 70

70/7 = 10

Multiply each item by 10

Item A:  item B :  total

3*10           4 *10     7*10

30                 40       70

Answer:

30 and 40

Step-by-step explanation:

3 : 4  means 3 out of every 7 objects and 4 out of every 7.

\(\frac{3}{7} (70) = 30\)

\(\frac{4}7} (70) = 40\)

Answer:

answer to the question is 10 units..

Answer:

10 units

Step-by-step explanation:

(0 , 6) = (x1 , y1)

(8 , 0) = (x2 , y2)

distance formula = \(\sqrt{(x2 - x1)^2 + (y2 - y1)^2}\)

=\(\sqrt{(8 - 0)^2 + (0 - 6)^2}\)

=\(\sqrt{8^2 + (-6)^2}\)

=\(\sqrt{64 + 36}\)

=\(\sqrt{100}\)

=10 units

Answer:

\(x - 12 \\ coefficent = 1 \\ constant = - 12 \\ thnk \: you\)

Answer:

x= -7

Step-by-step explanation:

the labeled angles are alternate-interior angles which are congruent

we can solve for 'x' by creating this equation:

x+139 = 132

x = -7

1. 14/3

2. 9

4. 5

5. 15

(Sixth one is confusing sorry! But I hope you do well on it since I can't help you :|)

When the patient recovery time from a specific surgical procedure is normally distributed, with a mean of 5.2 days and a standard deviation of 2.3 days, the probability of spending more than 2 days in recovery will be 0.61.

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 various outcomes. Statistics is the study of events that follow a probability distribution. Information about the likelihood that something will happen is provided by probability. For instance, meteorologists use weather patterns to forecast the likelihood of rain. Probability theory is used in epidemiology to comprehend the connection between exposures and the risk of health effects.

Here,

z=(X-μ)/σ

X=2

μ=5.2

σ=2.3

Z=(2-5.2)/2.3

Z=-1.39

-1.39+1

=0.39

1-0.39=0.61

The probability of spending more than 2 days in recovery will be 0.61 when the patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.2 days and a standard deviation of 2.3 days.

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Answer:

He can go 100 miles

Step-by-step explanation:

30 - 18 = 12

12 ÷ 0.12 = 100

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Answer:

16

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Use Pemdas

6 - 3 = 3

4 + 8 = 12

12 / 2 = 6

6 + 3 = 9