Pat receives a series of four annual federally subsidized student loans, each for $5400 at 6.5%. To defray rising costs for her senior year, 3 years after acquiring the first loan she takes out a private student loan for $4100 at 7.5% interest with a term of 10 years and capitalizes the interest for her last year of college. She graduates 9 months after getting the private loan. Payments on all loans are deferred until 6 months after graduation. Find her monthly payment.

There are 20 possible routes that a man could take to go between cities and then take a different route back.

In mathematics, a permutation of a set is, broadly speaking, the rearranging of its elements if the set is already sorted, or the arrangement of its members into a sequence or linear order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context.

Let the number of roads between the cities A and B = 5.

The rules of permutation must be used in this situation.

A permutation is an arrangement of all or a portion of a collection of items that takes into account the arrangement's order.

The man uses five different routes to get from A to B because there are five different routes accessible.

He can get back by 4 (5 1) methods because he needs to take a different route.

Therefore, there are 20 possible routes that a man could take to go between cities and then take a different route back.

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Answer:

  CD = 13 cm

Step-by-step explanation:

We assume you intend XC = 2/3 of XM, since XD cannot be that fraction of XM.

__

Of course XM = MY = 12, since M is the midpoint of a segment 24 cm long. Then 2/3 of XM is 8 cm, and 3/4 of MY is 9 cm.

  CD = CM + MD = 4 cm + 9 cm

  CD = 13 cm

The highest point for the quadratic function for the height of the object, h(t) = -16·t² + 224·t + 816, indicates that the interval over which the height of the object is increasing is; (-∞, 7]

The shape of the graph of a quadratic function is a parabola.

The function for the height of the object in question 3 is; h(t) = -16·t² + 224·t + 816

Where;

t = The time in seconds

The height of the object is increasing in the interval to the left of the highest point, which can be found as follows;

The x-coordinate of the highest point of the quadratic function, f(x) = a·x² + b·x + c is; x = -b/(2·a)

Therefore, the x-coordinates of the highest point of the object is; -224/(2 × (-16)) = 7

Therefore, the height of the object is increasing in the interval; -∞ < t ≤ 7

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Answer:49

Step-by-step explanation:

A = \(\frac{3+11}{2}\) · 7

= \(\frac{14}{2} \\\) · 7

= 7·7

=49

The angle on the unit circle is solved to be

56.01 degrees (to the nearest tenth)

To find the angle of the terminal side through the given point on the unit circle, we can use the inverse trigonometric functions.

given that P = ((√5)/4, (√11)/4)

θ = arctan ((√11)/4 / (√5)/4)

θ = arctan((√11)/(√5))

θ ≈ 56.01 degrees

hence to the nearest tenth of a degree, the angle of the terminal side through the point P = ((√5)/4, (√11)/4) on the unit circle is approximately 56.01 degrees.

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The value of k that satisfies the given condition is approximately 0.4041.

In the expansion of (1+kx)⁵, the coefficient of x⁵ is given by the term:

C(5,k) * (kx)⁵ = k⁵ * C(5,k) * x⁵

where C(5,k) is the binomial coefficient or the number of ways to choose 5 items out of k.

So, we have the equation:

k⁵ * C(5,k) = -672

We can use a table of binomial coefficients to find C(5,k) for different values of k, but this can be time-consuming. Alternatively, we can use the fact that C(5,k) = C(5,5-k) and rewrite the equation as:

k⁵ * C(5,5-k) = -672

Expanding C(5,5-k), we get:

k⁵ * C(5,5-k) = k⁵ * C(5,k) = -672

Now, we can use trial and error to solve for k. Using this method, we can find that k = -4 or k ≈ 0.4041. However, since k must be positive (since it appears as a factor in the expansion), the only valid solution is k ≈ 0.4041.

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Answer:

........................

Answer:

2640 cubic feet

Step-by-step explanation:

V(l·w·h) = 240* x 11 = 2640

*240 is already the length x width

Answer:

N = 20

Step-by-step explanation:

5/3 = 1 2/3

20/12 = 1 8/20

They are equivalent

The statements that are correct include the following:

B. The total number of students is > 160.

C. The percent as a part-to-whole ratio is 16/100.

E. There are 1600 students in the school.

In Mathematics, a percentage can be defined as any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

For the total number of students, we have:

Total number of students = 10/100 × T = 160

0.1T = 160

T = 160/0.1

T = 1,600 students.

Note: Percentage as a part-to-whole ratio is 10/100.

In conclusion, we can reasonably infer and logically deduce that the total number of students at Park Junior High is equal to 1,600 students.

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Complete Question:

At park junior high 10% or 160 of the students play a musical instrument how many students attended the school?

Which statements are correct? check all that apply.

A.the total number of students is 160

B. The total number of students is > 160.

C.The percent as a part-to-whole ratio is 10/100

D.the percent as a part to whole ratio is 160/100

E.there are 1600 students in the school

F.there are 250 students in the school. ​

Answer:

1/3n-3<6

Step-by-step explanation:

"when 3 is subtracted from one third of a number n"

meaning: 1/3n-3

"the result is less than 6"

less than is <, so it'd be

1/3n-3<6

Answer: 1/3n-3<6

Step-by-step explanation:

Answer:

x=34°

Step-by-step explanation:

100+46=146

180-146=34

so x =34°

Answer:

x=34°

there is your answer :)

Using the given linear function, it is found that Avery was 7 kilometers above sea level before she started climbing.

A linear function is modeled by:

\(y = mx + b\)

In which:

In this problem, her altitude in kilometers after t hours is modeled by:

A(t) = 7 + 1.3t.

The y-intercept is of b = 7, which means that Avery was 7 kilometers above sea level before she started climbing.

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Answer:

Step-by-step explanation:

To find the limit of (n!)^(1/n) as n approaches infinity, we can use the Stirling's approximation for n!, which is:

n! ≈ (n/e)^n √(2πn)

where e is the mathematical constant e ≈ 2.71828, and π is the mathematical constant pi ≈ 3.14159.

Using this approximation, we can rewrite (n!)^(1/n) as:

(n!)^(1/n) = [(n/e)^n √(2πn)]^(1/n) = (n/e)^(n/n) [√(2πn)]^(1/n)

Taking the limit as n approaches infinity, we have:

lim (n!)^(1/n) = lim (n/e)^(n/n) [√(2πn)]^(1/n)

Using the fact that lim a^(1/n) = 1 as n approaches infinity for any constant a > 0, we can simplify the second term as:

lim [√(2πn)]^(1/n) = 1

For the first term, we can rewrite (n/e)^(n/n) as [1/(e^(1/n))]^n and use the fact that lim a^n = 1 as n approaches infinity for any constant 0 < a < 1. Thus, we have:

lim (n/e)^(n/n) = lim [1/(e^(1/n))]^n = 1

Therefore, combining the two terms, we have:

lim (n!)^(1/n) = lim (n/e)^(n/n) [√(2πn)]^(1/n) = 1 x 1 = 1

Hence, the limit of (n!)^(1/n) as n approaches infinity is 1.

Answer:1

Step-by-step explanation:

Answer:

C) Chris and Dylan

Step-by-step explanation:

Let's conside the first equation x+y=8

Since it is an equation with degree 1, it is a straight line. So 2 coordinates are enough to plot a graph.

To plot a grpah, let's take, x=0,1

If x=0

So, the coordinate is (0,8)

If x=1

So, the coordinated is (1,7)

Let's plot the graph.

Let's take the second equation

6x+3y=36

If x=0

Hence the y coordinated is (0,9)

If x=1

Hence the coordinate is (1,10)

Let's plot the graph

Hence both the graphs are plotted.

Cesar initially had $2,500 in savings.

Let's solve the problem step by step.

Let's assume that the initial amount of money Cesar had is represented by "x" dollars.

According to the problem, Cesar spent 15% of his savings on a cellphone, which means he has 85% of his initial savings left. We can represent this mathematically as:

0.85x = 2,125

To find the initial amount of money Cesar had, we need to solve for x. We can do this by dividing both sides of the equation by 0.85:

x = 2,125 / 0.85

Calculating this value:

x = 2,500

Cesar initially had $2,500 in savings.

Please note that the calculations are done assuming a straightforward interpretation of the problem. If there are additional factors or context that could affect the interpretation, it's important to consider them in order to arrive at an accurate answer.

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We can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability.

What is probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

The theoretical probability of rolling a 5 on a fair die is 1/6, which means that if the die is rolled many times, we would expect to see a 5 about 1/6 of the time.

For the first 100 trials, Maya rolled a 5 on 25 of those trials. The experimental probability of rolling a 5 in this case is:

experimental probability = number of 5's rolled / number of trials

experimental probability = 25/100

experimental probability = 0.25

So, in the first 100 trials, Maya's experimental probability of rolling a 5 was 0.25.

For the first 200 trials, Maya rolled a 5 on 30 of those trials. The experimental probability of rolling a 5 in this case is:

experimental probability = number of 5's rolled / number of trials

experimental probability = 30/200

experimental probability = 0.15

So, in the first 200 trials, Maya's experimental probability of rolling a 5 was 0.15.

Comparing these experimental probabilities to the theoretical probability, we see that after 100 trials, Maya's experimental probability of rolling a 5 (0.25) is higher than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 100 trials was somewhat biased in favor of rolling a 5.

On the other hand, after 200 trials, Maya's experimental probability of rolling a 5 (0.15) is lower than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 200 trials was somewhat biased against rolling a 5.

Overall, we can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability. This is known as the law of large numbers, which states that as the number of trials or observations increases, the experimental probability will tend to approach the theoretical probability.

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We might say that Maya's experimental probabilities oscillate about the theoretical probability, but after more trials, the experimental probabilities ought to converge to the theoretical probability.

What is probability?

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.

A fair die has a theoretical probability of rolling a 5 of 1/6, therefore if the die is rolled several times, we can anticipate seeing a 5 roughly 1/6 of the time.

For the first 100 trials, Maya rolled a 5 on 25 of those trials. The experimental probability of rolling a 5 in this case is:

experimental probability = number of 5's rolled / number of trials

experimental probability = 25/100

experimental probability = 0.25

So, in the first 100 trials, Maya's experimental probability of rolling a 5 was 0.25.

For the first 200 trials, Maya rolled a 5 on 30 of those trials. The experimental probability of rolling a 5 in this case is:

experimental probability = number of 5's rolled / number of trials

experimental probability = 30/200

experimental probability = 0.15

So, in the first 200 trials, Maya's experimental probability of rolling a 5 was 0.15.

Comparing these experimental probabilities to the theoretical probability, we see that after 100 trials, Maya's experimental probability of rolling a 5 (0.25) is higher than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 100 trials was somewhat biased in favor of rolling a 5.

On the other hand, after 200 trials, Maya's experimental probability of rolling a 5 (0.15) is lower than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 200 trials was somewhat biased against rolling a 5.

Overall, we can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability. This is known as the law of large numbers, which states that as the number of trials or observations increases, the experimental probability will tend to approach the theoretical probability.

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Answer:y will be 45 then Multiply 45x3 which equals 135. Then add 135+62 and get your awnser.

Step-by-step explanation:

Answer:

1- H , 2- B , 3- A , 4- F

Step-by-step explanation:

Just simplify and you will get the answer.

Goodluck

Answer:

The Set of Natural Numbers: {1, 2, 3, 4, 5, . . .}

The Set of Whole Numbers: {0, 1, 2, 3, 4, 5, . . .}

The Set of Integers: {. . . , −5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5, . . .}

Step-by-step explanation:

Answer:

To find the complex conjugate, negate the term with i

.

32−14i

Step-by-step explanation:

Answer:

Step-by-step explanation:

54

I think

Answer:

\( \: \: \: \: \: 1 : 3 \\ = 4 : 12 \\ = 6 : 18 \\ = 8 : 24 \\ \)

hope this helps

Answer:

Answer:

4:12

6:18

8:24

hope this helps

Step-by-step explanation:

Answer:

4x(3y+1)

Step-by-step explanation:

Answer:

The first answer is 14 marbles.

The second answer is 4 marbles.

Step-by-step explanation:

1. Add as many marbles needed to Carter's pile to match the amount of marbles with Sani's amount to get both amounts to be even.

2. The number of marbles you moved to Carter's pile to make both amounts even is the answer to the second question.

Answer: both boys started with 14 marbles sani’s sister took 4 marbles and gave them to carter

Step-by-step explanation:

If they started with the same amount then sanis sister took some and gave them to carter and made it to where sani now has 18 and carter has 10 it’s simple math.

10 to 18 is 8 in between so split 8 in half and you get 4 so you count down 4 from 18 and you get 14.

There for both boys started with 14 marbles.

Answer: S = 20 lbs L = 45 lbs.  Both answer have been rounded from below

Step-by-step explanation:

L+S = 65 lbs

55L + 65S = 3774 lbs

55L+55S = (65)(55) = 3,575 lbs

10S = 199 lbs

S = 19.99 (round to 20)

L + S = 65

L + 19.99 = 65

L = 45.01 (round to 45)

Answer: outcomes of E1 = [1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36]

outcomes of E2 = [1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35]

Step-by-step explanation: This is the answer on Plato/edmentum! Hope I was able to help! :)

Answer:

outcomes of E1 = [1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36]

outcomes of E2 = [1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35]

Step-by-step explanation:

plato answer

Answer:

The answer is 4...

Hope it helps! ^^