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Hey there! I'm happy to help!

Let's see what we have for each variable.

I = 105

P = 100

r = 0.15

Now, let's plug it in and solve for our t (time)

105=100(0.15)(t)

Swap sides so t is on the left.

100(0.15)(t)=105

Divide both sides by 100.

0.15t=1.05

Divide both sides by 0.15

t=700

So, we see that it takes 700 months to earn this amount.

Have a wonderful day and keep on learning! :D

The number of months that it took to earn this amount will be 84 months.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

I = (PRT)/100

Where P is the principal, R is the rate of interest in percentage, and T is the time.

Samuel invested money in his bank account.

He had a principal, P, of $100 in his account at the beginning of the period, which increased at a rate, R, of 0.15 per year.

At the end of the period, he had interest, I, of $105 in his account.

105 = 100 x 0.15 x t

t = 1.05 / 0.15

t = 7 years

The number of months that it took to earn this amount will be

⇒ 7 x 12

⇒ 84 months

The number of months that it took to earn this amount will be 84 months.

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The correct option is : c. Valid

Does the logical relationship between the premises and conclusion in the given argument hold true?

Yes, the logical relationship between the premises and conclusion in the given argument holds true.

To evaluate the given argument, we can break it down into its premises and conclusion:

Premises:

1.e ⊃ j (If e, then j)

2.b ⊃ q (If b, then q)

3.d ⊃ (j • ∼q) (If d, then (j and not q))

Conclusion:

(e • b) ≡ d ((e and b) if and only if d)

To determine the validity and cogency of the argument, we need to assess whether it is logically valid and whether its premises are true.

Validity: An argument is valid if the truth of its premises guarantees the truth of its conclusion. Let's analyze each premise:

1.e ⊃ j (If e, then j)

This premise asserts a conditional statement. If e is true, then j must also be true. This premise seems reasonable.

2.b ⊃ q (If b, then q)

Similar to the first premise, this premise asserts a conditional statement. If b is true, then q must also be true. This premise seems reasonable as well.

3.d ⊃ (j • ∼q) (If d, then (j and not q))

Once again, this premise states a conditional relationship. If d is true, then both j and not q must be true. This premise also seems reasonable.

Now let's consider the conclusion:

(e • b) ≡ d ((e and b) if and only if d) This conclusion states an equivalence, asserting that (e and b) is true if and only if d is true.

Given that all the premises are reasonable and logically valid, we can conclude that the argument is valid.

Therefore, the correct answer is:

c. Valid.  

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Answer:

kate can buy 20 tickets

Step-by-step explanation:

hope this helps

i am not sure about the answer

Answer:

Well, as it turns out, when two figures are similar or congruent, they have certain properties, and these properties can be used to prove relationships between the figures. When two figures are similar figures, they have the following properties: Corresponding angles have equal measure.

Step-by-step explanation:

There are 30 of 1/10's in the number 3

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

How many 1/10's are in 3?​

The above statement is a quotient expression that has the following features

Dividend = 3

Divisor = 1/10

So, we have

Quotient = Dividend /Divisor

Substitute the known values in the above equation, so, we have the following representation

Quotient = 3/(1/10)

Evaluate

Quotient = 30

Hence, there are 30 1/10's

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Answer:

7/5 y intercept 1

Step-by-step explanation

Answer:

B: slope 5/7 Y-intercept is 1

Step-by-step explanation:

To calculate the slope it is rise orver run
To calculate the Y intercept you look at the graph and where-ever x=0 and y=- is the number.

The slope is 5/7 because the rise is 10 and the run is 14. 10/14 is simplified to 5/7.

the Y intercept is 1 because on the vertical line the line passes through 0,1.

When substituting the given values of a = 4 and b = 2 into the given expression, we find that the result is -60.

To evaluate the expression a+(-b)a+(−b)a, let's substitute the given values for a and b. We are given that a = 4 and b = 2.

First, we evaluate (-b)a as (-2)4, which equals -8. Then, we substitute this value back into the expression:

a+(-b)a+(−b)a becomes 4+(-8)4+(−8)4.

Next, we perform the multiplications:

4+(-8)4+(−8)4 simplifies to 4+(-32)+(-32).

To continue, we simplify the negative values:

4+(-32)+(-32) equals 4-32-32, which further simplifies to -60.

Therefore, a+(-b)a+(−b)a, where a = 4 and b = 2, is equal to -60.

In summary, when substituting the given values of a = 4 and b = 2 into the given expression, we find that the result is -60.

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The probability that none of the shoes are black is 51.2%.

Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. The probability that an event will occur P(E) is equal to the ratio of favorable outcomes to total outcomes.

Given twenty percent of the shoes in a factory are black,

probability of black shoes = 0.2

probability of not getting a black shoe = 1 - 0.2

probability of not getting a black shoe = 0.8

shoes selected three times and each time the shoe is replaced,

probability for each time is 0.8

for three times = 0.8 x 0.8 x 0.8

total probability = 0.512

probability in percent = 0.512 x 100 = 51.2%

Hence the probability is 51.2%

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Answer: To get from the original equation 12x+3=21x-15 to 4x+1=7x-5, Anika likely subtracted 9x from both sides of the equation.

This is because 12x - 9x = 3x and 21x - 9x = 12x, which simplifies the equation to 3x + 3 = 12x - 15.

Then, Anika likely subtracted 3 from both sides to get 3x = -18, which simplifies to x = -6.

Step-by-step explanation:

Answer:

y=-1x+5.

Step-by-step explanation:

Replace m with -1, which is the slope you gave, and

replace b with 5, the y-intercept you gave,

in the equation y=mx+b.

y=-1x+5

In the expression, the values are:

a) k = 2.4

b) c = -141.0625

We have the expression:

a√(b² − c) = 5k

a)For the value of ‘k’ when a = 3, b = 6 and c = 20, we have:

a√(b² − c) = 5k

3√(6² − 20) = 5k             (solve for k)

3√(36 − 20) = 5k

3√(16) = 5k  

3*4 = 5k  

12 = 5k

k = 12/5

k = 2.4

b) For the value of ‘c’ when a = 4, b = 7 and k = 11, we have:

a√(b² − c) = 5k

4√(7² − c) = 5*11          (solve for c)

4√(49 − c) = 55

√(49 − c) = 55/4

√(49 − c) = 13.75

49 − c = 13.75²

49 - c = 189.0625

c = 49 - 189.0625

c = -141.0625

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The probability of an event is given by dividing the favorable outcomes by total number of outcomes. The sum of all the probabilities of events is always 1.

The probability that 2 red cards and 11 black cards are dealt is .

The probability of an event is given by dividing the favorable outcomes by total number of outcomes. The sum of all the probabilities of events is always 1. If for finding probability we have to select r out of n. Combination is used to select r items out of n, the formula is as follows,

\(^nC_r=\frac{n!}{r!(n-r)!}\)

Finding the probability that 2 red cards and 11 black cards are dealt,

Number of favorable outcomes will be \(^{26}C_2\times^{26}C_{11}\).

Total number of outcomes will be \(^{52}C_{13}\)

Now, the probability will be,

\(P()=\frac{^{26}C_2\times^{26}C_{11}}{^{52}C_{13}} \\\\=\frac{325\times7726160}{635013559600} \\\\=0.00395\)

Therefore, the probability that 2 red cards and 11 black cards are dealt is 0.00395.

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Answer:

Plug the x and y values to get it

Step-by-step explanation:

The area of the rectangle is 12 square units which vertices are P(2, 3), Q(4, -1), R(-8, -7), and S(-10, -3).

To find the area of the rectangle, we need to first find the side lengths of the rectangle. We can do this by using the coordinates of the points to find the distances between them.

The side length of the rectangle along the x-axis is the distance between points P and Q, which is 4 - 2 = 2 units.

The side length of the rectangle along the y-axis is the distance between points P and S, which is 3 - (-3) = 6 units.

Now that we know the side lengths of the rectangle, we can use the formula for the area of a rectangle, which is length x width, to find the area.

The area of the rectangle is 2 x 6 = 12 square units.

Therefore, the answer is 12 square units.

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The volume of the cone is approximately 37.7 cubic units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a cone, we use the formula:

V = (1/3) * π * r² * h

where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3) * 3.14 * 3² * 4 ≈ 37.7

Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).

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Answer:

21

Step-by-step explanation:

1+6=7

7+4=11

11+11=21

Answer:

m=7

Step-by-step explanation:

it's in the picture

the left got cut out but there's a bracket at the end of the first line

Answer: Answer in detail below

Step-by-step explanation:

1. Write an inequality to represent the situation below:

Let "x" be the number of tickets Desiree can buy.

The amount she spends on tickets is equal to the total amount she has minus the amount she spends on food:

Total amount - Amount spent on food = Amount spent on tickets

Therefore, the inequality to represent this situation is:

1.75x ≤ 35 - 15

2. Define your variable in words:

"x" represents the number of tickets Desiree can buy.

3. Solve the inequality:

1.75x ≤ 20

x ≤ 20 ÷ 1.75

x ≤ 11.43 (rounded to the nearest whole number because you cannot buy a fraction of a ticket)

4. Describe what the solution means in the context of the problem:

The solution x ≤ 11 means that Desiree can buy a maximum of 11 tickets for rides with the money she has left after spending $15 on food. If she buys more than 11 tickets, she will not have enough money to pay for them.

i. The wind power is calculated to be approximately 10.44 MW.

ii. The mechanical power that could be achieved by the wind turbine rotor is approximately 9.58 MW.

iii. The electrical power output of the wind turbine is approximately 8.77 MW.

To determine the wind power, we need to use the formula: P_wind = 0.5 * ρ * A * V^3, where ρ is the air density, A is the swept area of the turbine rotor, and V is the wind speed. Given the air flow rate and speed, we can calculate the wind power to be approximately 10.44 MW. The mechanical power that could be achieved by the wind turbine rotor is calculated by multiplying the wind power by the power coefficient, which is the maximum possible efficiency of the wind turbine according to the Lanchester-Betz limit. In this case, the mechanical power is approximately 9.58 MW. Finally, the electrical power output of the wind turbine is determined by considering the efficiencies of the gear, generator, and electric system. By multiplying the mechanical power by the product of these efficiencies, we can find the electrical power output, which is approximately 8.77 MW. Overall, based on the given data and the mentioned efficiencies, the wind power is converted into mechanical power by the rotor and further into electrical power by the generator and other components of the wind turbine system.

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Step-by-step explanation:

5x^3(x+1)=5x^4+5x

answeri s a

The odds ratio for the association between exposure to emf's and breast cancer would be (11/5) / (108/436) = 2.2.

1. Calculate the odds of exposure for cases: 11/5 = 2.2

2. Calculate the odds of exposure for controls: 108/436 = 0.25

3. Divide the odds of exposure for cases by the odds of exposure for controls: 2.2/0.25 = 8.8

4. Finally, the odds ratio for the association between exposure to EMF's and breast cancer is 2.2.

The odds ratio for the association between exposure to EMF's and breast cancer can be calculated by dividing the odds of exposure for cases by the odds of exposure for controls. To calculate this, first take the number of cases exposed (11) and divide it by the number of cases not exposed (5). This will give the odds of exposure for cases (2.2). Second, take the number of controls exposed (108) and divide it by the number of controls not exposed (436). This will give the odds of exposure for controls (0.25). Finally, divide the odds of exposure for cases (2.2) by the odds of exposure for controls (0.25). This will give the odds ratio for the association between exposure to EMF's and breast cancer (2.2).

Odds ratio = (11/5) / (108/436) = 2.2

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Explanation:

For the x value x = 3, the observed y value is y = 6 which is from the point (3,6).

The predicted y value is found by plugging x = 3 into the line of best fit equation

y = 5x-2.5

y = 5(3)-2.5

y = 12.5

The residual is the difference between the two y values

e = residual

e = (observed y value) - (predicted y value)

e = 6 - 12.5

e = -6.5

The negative residual tells us the observed y value is smaller than the predicted y value for this given x value.

The roots for n = 3 are 12, -6 + 10.3923i, and -6 - 10.3923i. By continuing this process for higher values of n, we can find additional roots of 1296i using De Moivre's theorem.

To find the roots of a complex number, we can use the theorem known as De Moivre's theorem. This theorem relates the roots of a complex number to its magnitude and argument.

Let's consider the complex number 1296i. We want to find its roots.

First, we can express 1296i in trigonometric form. The magnitude of 1296i is 1296, and the argument can be found by taking the inverse tangent of the imaginary part divided by the real part:

Argument = arctan(0/1296) = 0

Therefore, in trigonometric form, 1296i can be written as 1296 * (cos(0) + i*sin(0)).

Now, let's apply De Moivre's theorem to find the roots of 1296i.

De Moivre's theorem states that if a complex number is expressed as r * (cos(theta) + isin(theta)), then its nth roots can be found by taking the nth root of the magnitude r and multiplying it by the complex number (cos(theta/n) + isin(theta/n)), where n is a positive integer.

In our case, the complex number is 1296 * (cos(0) + i*sin(0)), and we want to find its roots.

Since we are looking for the roots, we need to consider all possible values of n. Let's start with n = 2.

For n = 2, the square root of the magnitude 1296 is 36, and the argument becomes theta/2:

Root 1: 36 * (cos(0/2) + isin(0/2)) = 36 * (cos(0) + isin(0)) = 36

Root 2: 36 * (cos(180/2) + isin(180/2)) = 36 * (cos(90) + isin(90)) = 36i

So, the roots for n = 2 are 36 and 36i.

Next, let's consider n = 3.

For n = 3, the cube root of the magnitude 1296 is 12, and the argument becomes theta/3:

Root 1: 12 * (cos(0/3) + isin(0/3)) = 12 * (cos(0) + isin(0)) = 12

Root 2: 12 * (cos(360/3) + isin(360/3)) = 12 * (cos(120) + isin(120)) = -6 + 10.3923i

Root 3: 12 * (cos(2360/3) + isin(2360/3)) = 12 * (cos(240) + isin(240)) = -6 - 10.3923i

So, the roots for n = 3 are 12, -6 + 10.3923i, and -6 - 10.3923i.

By continuing this process for higher values of n, we can find additional roots of 1296i using De Moivre's theorem.

In summary, De Moivre's theorem allows us to find the roots of a complex number by taking the nth root of its magnitude and multiplying it by the appropriate trigonometric values. In the case of 1296i, we found the roots for n = 2 and n = 3 to be 36, 36i, 12, -6 + 10.3923i, and -6 - 10.3923i.

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The number of keys required to fully implement a symmetric algorithm with 10 participants is: 45 (Option C)

Symmetric encryption or Algorithm is a kind of encryption that uses a single key (a secret key) to encrypt and decode electronic data.

The key must be exchanged between the organizations communicating using symmetric encryption so that it may be utilized in the decryption process.

The formula that determines the number of keys necessary for a symmetric algorithm is given as;

(n*(n-1))/2,

which is 45 in this situation, when n = 10.

That is

(10 * (10-1))/2

= 45.

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Full Question:

How many keys are required to fully implement a symmetric algorithm with 10 participants?

A. 10

B. 20

C. 45

D. 100

Answer: C. 30

Step-by-step explanation: Based on the rate of change and the decreasing amount of hot chocolates he sells, he will sell approximately 30 hot chocolates if it is 36 degrees fahrenheit outside. Hope this helps!

The correct statement is d. A is dependent on B, A is independent of C.Whether a number is even (A) is not affected by whether it is divisible by 3 (B), so A is independent of B. However, if a number is divisible by 4 (C), it is guaranteed to be even (A), so A is dependent on C.

This is because if a number is divisible by 3, it cannot be even (i.e. not in event A), and vice versa. Therefore, A and B are dependent. However, being divisible by 4 does not affect whether a number is even or not, so A and C are independent. An even number is divisible by 2. Since all numbers divisible by 4 are also divisible by 2, we can conclude that if an event is divisible by 4 (C), it must also be divisible by 2 (A). Therefore, event A is dependent on event C. However, there is no direct relationship mentioned between event A (even number) and event B (divisible by 3). Divisibility by 3 and being an even number are unrelated properties.

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The larger the group of answer choices, the less likely our data represent the model due to larger differences between the expected frequencies.

Based on the terms provided, we want to know the relationship between the size of a group of answer choices, differences between expected frequencies, and how likely the data represents a model.

The larger the group of answer choices, the larger the differences between the expected frequencies, and the less likely our data represent the model.

This is because a larger group of answer choices increases the complexity of the dataset, which may lead to more significant deviations from the expected frequencies, ultimately making it less likely that the data represents the given model.

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Answer:

They are called vertical angles but are also known as "Vertically Opposite Angles"

Step-by-step explanation:

can i get brainliest im 1 away from ranking up

Answer:

"Vertical" refers to the vertex

Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other.

Step-by-step explanation:

The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles. "Vertical" refers to the vertex (where they cross), NOT up/down. They are also called vertically opposite angles.