Rich is attending a 4-year college. As a freshman, he was approved for a 10-year, federal unsubsidized student loan in the amount of $7,900 at 4.29%. He knows he
has the option of beginning repayment of the loan in 4.5 years. He also knows that during this non-payment time, interest will accrue at 4.29%.
If Rich decides to make no payments during the 4.5 years, the interest will be capitalized at the end of that period.

a. What will the new principal be when he begins making loan payments?

b. How much interest will he pay over the life of the loan?

The number of weeks in which Sarah and Asher have saved the same amount of money is 8 weeks.

The number of weeks in which Sarah and Asher have saved the same amount of money is calculated by setting the two equations equal to each other as follows;

12x + 6 = 9x + 30

Simplify the equation by collecting similar terms as follows;

12x - 9x  = 30 - 6

3x = 24

x = 24/3

x = 8

Thus, the number of weeks in which Sarah and Asher have saved the same amount of money is 8 weeks.

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The standard form expression of the equation as given in the task content is; 6x² -3x +16 = 0.

According to the task content above;

It follows that to write the equation in the standard form; ax² +bx +c= 0.

One must expand and rewrite the equation as follows;

3x -6x² = 16

6x² -3x +16 = 0.

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In the graph of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

The simple linear regression equation represents a linear relationship between a dependent variable and an independent variable. It can be written as y = ß0 + ß1x, where ß0 is the intercept and ß1 is the slope of the regression line.

The slope (ß1) determines the rate of change in the dependent variable (y) for each unit change in the independent variable (x). It represents the steepness or inclination of the regression line. The sign of ß1 indicates whether the line has a positive or negative slope, indicating the direction of the relationship between the variables.

Thus, in the context of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

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Answer:

6b+0=6b

Step-by-step explanation:

M a t h

Answer:

THE ANSWER IS 120

Step-by-step explanation:

AND SURE LETS TALKK

Answer:

24 × 5 is equal to 120

hi hi hi hi

:) :) :) :) :) :) :) :) :)

Answer:

6 5/12

Step-by-step explanation:

LDC= 12

4•6+1=25

25/6

2•4+1=9

9/4

25•2

6•2

50/12

9•3=27

4•3=12

50/12

4 2/12

27/12

2 3/12

2+4=6

3/12+2/12=5/12

1.  a) z = 1 - jsi We know that j² = -1. Therefore, we can write z as follows: z = 1 - jsiz² = (1 - js i) (1 - js i) = 1² - (js i)² - 2 (1) (js i) = 1 + s² + j2si = s² + 1 - j2s

Remember that we must write z in the form x + yi, where x and y are real. We can identify x as s² + 1, and y as -2s.b) To find the value of p, we must first calculate z². Using the result from part (a), we have:z² = (s² + 1 - j2s)² = s4 - 2s² + 1 - j4s³Now, we must find a value of p such that z² - pz is real.

This can be illustrated on the Argand diagram as follows: cube roots of unity diagram4.  z1 = -3 + 4i is a solution of z² + cz + 25 = 0. We can therefore write:(z - z1)(z - z2) = 0, where z2 is the other root of the equation. Expanding this gives:z² - (z1 + z2)z + z1z2 = 0.

Therefore, z1 = 5 ∠ 126.87°. Using the fact that the argument of a quotient is equal to the difference of the arguments of the numerator and denominator, we can write : log [ (z1 + 2)/(z1 - 3) ] = log (z1 + 2) - log (z1 - 3)Substituting in the value of z1 gives : log [ (-1 + 4i)/(8 - 3i) ] = log (5 - 5i) - log (17 - 7i)7.  Thus, at the start of the year 2040, there will be 37.5 mg of the material left. We can continue in this manner to find the amount of material at the start of any year. The general formula for the amount of material after t years is: A = 150 (1/2)t/15b) We are given that the amount of material left is 1 mg.

Therefore, we have:1 = 150 (1/2)t/15Solving this for t gives:t = 45 ln 2 ≈ 31.0 years Therefore, there will be 1 mg of radioactive material left at the start of the year 2031.

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Answer: C) 13

Step-by-step explanation:

The applicable law here is the “Pythagorean Theorem”, which is simply given as: c^2= a^2+b^2

In this case “c” represents the hypotenuse, while “a” and “b” represents the two legs respectively.

This then translates to:

16^2= 9^2+b^2

256= 81+b^2

256-81=b^2

175= b^2

b = √175

b = 13.22

To the nearest whole number:

b = 13

 f(t) = L^(-1){1 / (s^2 + s)} Inverse Laplace transform tables or techniques, determine the time-domain function f(t) that satisfies the given integral equation.

The Laplace transform is a powerful mathematical tool that can be used to solve complex integral equations, like the one you've provided: f(t) + t * ∫(t - τ)f(τ)dτ = t.

To solve this equation using the Laplace transform, follow these steps:

1. Apply the Laplace transform to both sides of the equation. The Laplace transform of f(t) is F(s), and the Laplace transform of t is 1/s^2. The integral equation becomes:

  L{f(t)} + L{t * ∫(t - τ)f(τ)dτ} = L{t}

  F(s) + L{t * ∫(t - τ)f(τ)dτ} = 1/s^2

2. Next, apply the convolution theorem to the integral term. The convolution theorem states that L{f(t) * g(t)} = F(s) * G(s). In this case, f(t) = t and g(t) = (t - τ)f(τ):

  F(s) + L{t} * L{(t - τ)f(τ)} = 1/s^2

3. Now, substitute the known Laplace transforms for t and f(t):

  F(s) + (1/s^2) * F(s) = 1/s^2

4. Combine the terms containing F(s):

  F(s) * (1 + 1/s^2) = 1/s^2

5. Isolate F(s) by dividing both sides of the equation by (1 + 1/s^2):

  F(s) = (1/s^2) / (1 + 1/s^2)

6. Simplify the expression for F(s):

  F(s) = 1 / (s^2 + s)

7. Finally, apply the inverse Laplace transform to F(s) to obtain the solution for f(t):

  f(t) = L^(-1){1 / (s^2 + s)}

Using inverse Laplace transform tables or techniques, you can determine the time-domain function f(t) that satisfies the given integral equation.

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The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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We can see that since the values that multiply each component (x & y) are less than an unit, the transformation rule would be a reduction.

a) The number of ways to form a committee of 6 people from the department is 177,100.

b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.

c) The number of ways to form a committee of 6 people with more women than men is 91,455.

a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.

The number of ways to choose 6 people from a group of 25 is given by the combination formula:

C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100

Therefore, there are 177,100 ways to form a committee of 6 people from the department.

b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.

The number of ways to choose 3 men from 10 is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120

Similarly, the number of ways to choose 3 women from 15 is:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455

To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:

Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600

Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.

c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.

For 1 man and 5 women:

Number of ways to choose 1 man from 10: C(10, 1) = 10

Number of ways to choose 5 women from 15: C(15, 5) = 3,003

For 2 men and 4 women:

Number of ways to choose 2 men from 10: C(10, 2) = 45

Number of ways to choose 4 women from 15: C(15, 4) = 1,365

The total number of ways to form a committee with more women than men is the sum of these two cases:

Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)

     = 10 * 3,003 + 45 * 1,365

     = 30,030 + 61,425

     = 91,455

Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.

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The coordinates of the point D that partitions the segment in ration 1:2 is D = (4. 3).

The line segment is divided into two pieces by a point, which may or may not be equal. If we know the coordinates of the point, we may calculate the ratio by which the supplied line segment is divided. Also, if we are aware of the ratio that the line segment connecting two places has produced, we may locate the point of division. The two may be accomplished using a section formula from coordinate geometry.

The position of a point that splits a line segment connecting two points into two portions with a length ratio of m:n is found using the section formula.

The coordinates of the point A and B from the given figure is:

A = (1, 3) and B = (10, 3)

The section formula is given as:

(x, y) = (mx2 + nx1 / m+n , my2 + ny1 / m+n)

Substitute the values of m = 1 and n = 2, and the coordinates of the point A and B.

(x, y) = ((1)(10) + (2)(1)/ 3 , (1)(3) + (2)(3) 3)

D(x,y) = (4, 3)

Hence, the coordinates of the point D that partitions the segment in ration 1:2 is D = (4. 3).

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Answer:

I think it's x=4

Step-by-step explanation:

i forgot how I got it

Answer: x = -4

Step-by-step explanation: Got it right

Answer:

$55.25

Step-by-step explanation:

20 3/8=163     163 divided by $2.95= $55.25

Answer:

97.5

Step-by-step explanation:

234/24=9.75

10x9.75=97.5

Part a: The probability that a given battery will last between 2.3 and 3.6 years is 80.41%.

Part b: The probability that a given battery will last longer than 24 months is 97.72%.

For the given question,

The data for the storage battery are-

Part a: The probability that a given battery will last between 2.3 and 3.6 years.

Find z score for x = 2.3 years.

z(2.3) = (x - μ )/σ

Put the values,

z(2.3) = (2.3 - 3.0)/0.5

z(2.3) = -1.4

Use negative z score table;

P(z = -1.4) = 0.0808

Similarly, for x = 3.6

z = (3.6 - 3)/0.5

z = 1.2

Use positive z table;

z = 0.8849

P(2.3<x<3.6) = 0.8849 - 0.0808

P(2.3<x<3.6) = 0.8041

Thus, the probability that a given battery will last between 2.3 and 3.6 years is 80.41%.

Part b: The probability that a given battery will last longer than 24 months = 2 years.

x = 2 years

z (2) = ( 2 - 3.0 )/ 0.5

z = 2

P(x > 2) = 0.9772

Thus, the probability that a given battery will last longer than 24 months is 97.72%.

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Answer:

pretty sure it's 3 7/8

The answer to your question would be B. 10/15 and 14/21.

10/15 in simplest form is 2/3

14/21 in simplest form is 2/3

Answer:

Two lines, both in the same plane, that never intersect are called parallel lines. Parallel lines remain the same distance apart at all times. The symbol // is used to denote parallel lines.

how to prove that two lines are equal: If two lines are cut by a transversal and the alternate exterior angles are equal, then the two lines are parallel. Angles can be equal or congruent; you can replace the word "equal" in both theorems with "congruent" without affecting the theorem. So if ∠B and ∠L are equal (or congruent), the lines are parallel.                                 therefore the answer is E. The two lines are everywhere equidistant.

Answer:

d

Step-by-step explanation:

1 = 1 cup

1/2 can be 2/4

2/4+1/4=3/4

1+3/4 = 1 3/4

Answer:

The lengths ( in feet ) of two sides of a regular quadrilateral are represented by th expresion

8x-6 and 4x+22 . find the length of a side of the quadrilateral

Answer by Alan3354(67447) (Show Source): You can put this solution on YOUR website!

A regular quadrilateral is a square, so

8x-6 = 4x + 22

Can you finish it?

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The length of a side of the quadrilateral is 38 feet.

Given that, The lengths (in feet) of two sides of a regular quadrilateral are represented by the expressions 8x + 6 and 4x + 22.

We need to find the length of a side of the quadrilateral.

The regular quadrilateral is a 4-sided polygon which is equiangular and equilateral. Square is a quadrilateral with all the sides equal and all angles equal to 90°. Hence, the square is a regular quadrilateral.

Now, 8x+6=4x+22

⇒8x-4x=22-6

⇒4x=16

⇒x=4

Then, 8x+6=38 feet and 4x+22=38 feet

Therefore, the length of a side of the quadrilateral is 38 feet.

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Answer:

230mps can be ans you can try it

Answer:

66.) 1.) M=-9/7

2.) Y-INTERCEPT (9)

3.) X-INTERCEPT (7).

Answer:

Step-by-step explanation:

I don’t really know, don’t answer falsely on my answer, I literally have a f^cking quiz

Step-by-step explanation:

First, let's find 1% of 550.

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

HOW TO FIND 1% OF 550:

                                       (see the point?)

                                               (see it?)

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

     Now, let's multiply the "new" number amount we have. ($5.50)

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

         (yeah, I don't think I need to explain this but I did lol)

You got the answer! Congrats!

-eliana44ever

An equation to find the number of donuts Hazel bought.: 2.15x + 3.12 = 11.72.

For the stated question-

Let 'x' be the number of donuts.

Let y be the number of drinks.

Then,

2.15x + 3.12y = 11.72.

In this case y = 1, number of drink.

Then, An equation to find number of donuts donuts.

2.15x + 3.12 = 11.72.

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Answer:

30 min

Step-by-step explanation:

So, how long does it take to kayak a mile? It takes about 30 minutes to kayak 1 mile on flat calm water. Obviously this number will depend on several factors: how much paddling experience you have, wind and wave conditions, and what type of kayak you’re paddling.