Please help me with this math thank u

Please Help Me With This Math Thank U

Answers

Answer 1
I think it’s $20.50 + 10m

Related Questions

Use synthetic division an(d)/(o)r factoring to write f(x)=20x^(3)+44x^(2)-17x-5 in completely factored form, given that (-(5)/(2)) is a zero of f(x).

Answers

The function f(x) in completely factored form is (4x+1)(5x-1)(x+5).

To write f(x)=20x^(3)+44x^(2)-17x-5 in completely factored form, we can use synthetic division with the given zero of (-(5)/(2)).

Step 1: Set up the synthetic division with the given zero and the coefficients of the polynomial.

(-(5)/(2)) | 20  44  -17  -5
         |______________

Step 2: Bring down the first coefficient, 20, and multiply it by the given zero.

(-(5)/(2)) | 20  44  -17  -5
         |     -50
         |______________
         | 20

Step 3: Add the result of the multiplication to the next coefficient and repeat the process until all coefficients have been used.

(-(5)/(2)) | 20  44  -17  -5
         |     -50   3   10
         |______________
         | 20  -6  -14   5

Step 4: The last number in the bottom row is the remainder. If it is zero, then the given zero is a factor of the polynomial. In this case, the remainder is 5, so (-(5)/(2)) is not a factor of f(x).

Since (-(5)/(2)) is not a factor of f(x), we cannot use synthetic division to write f(x) in completely factored form. Instead, we can use factoring to find the factors of f(x).

f(x) = 20x^(3)+44x^(2)-17x-5

= (4x+1)(5x-1)(x+5)

Therefore, f(x) in completely factored form is (4x+1)(5x-1)(x+5).

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one of the angles of a parallelogram is 36\deg greater than another one. find the angles of the parallelogram.

Answers

The value of the angles of the parallelogram are 72 degree and 108 degree.

What are the characteristics of a parallelogram?

A quadrilateral with the opposing sides parallel is known as a parallelogram. It has numerous crucial traits, including:

A parallelogram has equal-length opposite sides. A parallelogram has opposite angles that are equally sized. A parallelogram's diagonals cut each other in half. A parallelogram is divided into four equal-sized triangles by its diagonals. A parallelogram's internal angles add up to 360 degrees. A parallelogram is classified as a rectangle if it also contains four right angles, making it a rectangle-shaped parallelogram.

Let us suppose the smaller angle = x.

The other angle is thus x + 36.

In a parallelogram the opposite angles are equal thus:

x + x + x + 36 + x + 36 = 360

4x + 72 = 360

4x = 288

x = 72

The value of x + 36 = 72 + 36 = 108

Hence, the value of the angles of the parallelogram are 72 degree and 108 degree.

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Marcus found these three ordered pairs for the equation y = 52x + 150: (0, 150), (10,670), and (20,1190).

When he graphs these, what is the best range for the y-axis?
0 to 150
0 to 670
0 to 20
0 to 1190

Answers

the answer is 0 to 1190
brainliest would be great:))

First divide 97.65625 by 2.5. True? Or false

Answers

True,  39.0625 is the value of First division .

What is division, and how does it work?

Multiplication is the opposite of division. When you divide 12 into three equal groups, you get four in each group if three groups of four add up to 12, which they do when you multiply. The primary objective of division is to count the number of equal groups that are created or the number of individuals in each group after a fair distribution.

                                    In mathematics, division is the process of dividing a number into equal parts and determining how many of those parts there are in total. For instance, breaking 15 into 3 equal groups of 5 is equivalent to dividing 15 by 3.

= 97.65625 / 2.5

 =  39.0625

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How would I solve this and what’s the answer

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Step-by-step explanation:

these 2 parallel lines create similar triangles.

that mags they're is one common scaling factor for the side lengths bergen the 2 triangles.

and that means they must have the same ratio.

the large triangle has the side lengths

24 + 9 = 33

32 + x

the smaller triangle has the corresponding side lengths

24

32

so, the equal ratios are

24/33 = 32/(32+x)

24(32 + x) = 32×33

32 + x = 32×33/24 = 4×11 = 44

x = 44 - 32 = 12

Im really confused .

Answers

Answer:

Triangle A is not a scale drawing

Triangle B is a scale drawing

Triangle C is not a scale drawing

find the surface area of each figure. round answers to the nearest hundredth, if necessary

Answers

The surface area of the prism is 224 ft².

What is a prism?

Having identical endpoints in three dimensions, a prism is a solid object. This combination consists of flat faces, identical bases, and equal cross-sections.

We are given a figure of a prism having a square base.

We know that

Surface Area of Prism (A) = 2a² + 4ah

We are given the following information:

a = 4 ft

h = 12 ft

On substituting these values in the formula, we get

⇒A = 2(4)² + 4(4)(12)

⇒A = 2(16) + (16)(12)

⇒A = 32 + 192

⇒A = 224 ft²

Hence, the surface area of the prism is 224 ft².

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Since there are multiple questions so the question answered above is attached below

Samuel's house is due west of Stafford and due south of Seaside. Stafford is 24 kilometers from Samuel's house and 74 kilometers from Seaside. How far is Seaside from Samuel's house, measured in a straight line? kilometers Submit

Answers

The distance between Seaside and Samuel's house is approximately 77.8 kilometers.

Determine The distance

To find the distance between Seaside and Samuel's house, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the hypotenuse is the distance between Seaside and Samuel's house, and the other two sides are the distances from Stafford to Samuel's house and from Stafford to Seaside.

1. Let x be the distance between Seaside and Samuel's house.

2. According to the Pythagorean theorem, x^2 = 24^2 + 74^2

3. Simplifying the equation gives us x^2 = 576 + 5476

4. Further simplifying gives us x^2 = 6052

5. Taking the square root of both sides gives us x = 77.8

Therefore, the distance between Seaside and Samuel's house is approximately 77.8 kilometers

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rio drew two similar rectangles. one rectangle was 9 inches long and 6 inches wide. the second rectangle was 15 inches wide. how long was the second rectangle?

Answers

As a result, the length of the second rectangle is 22.5 inches.

Are rectangles always squares?

Every square is also a rectangle because a square is a parallelogram with all particular corners at right angles. Yet not all rectangles are squares; for a rectangle to be a square, all of its sides must be the same length.

We can infer that the two rectangles may have a similar shape but differ in size because we can see how similar they are to one another.

By using the fact that the ratio of the adjacent angles of two comparable rectangles is the same, we can determine the length of the following rectangle.

Let x be the second rectangle's length. Then we can establish a ratio:

9/6 = x/15

We can cross-multiply to find x:

9 x 15 = 6 × x

135 = 6x

x = 22.5

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Help needed! Immediately would be very great :)

Answers

Answer: 56 inches

Step-by-step explanation:

To find the length of each side, use Pythagorean's Theorem, a² + b² = c²

Note the bottom sides are the same length and the top two are the same length.

Bottom sides:

5² + 12² = c²

25 + 144 = c²

169 = c²

13 = c

Top sides:

9² + 12² = c²

81 + 144 = c²

225 = c²

15 = c

Add it all together

13 + 13 + 15 + 15 = 56

The perimeter is 56 inches.

Hope this helps!

DUE TODAY HELP!!!!!!!!!!!!
The image shows a circle with radius 5 units. Use the arc length and the radius to calculate the radian measure of 180 degrees.

Answers

The radian measure of 180 degrees is [tex]\pi \\[/tex] radians.

How to find the relation between angle subtended by the arc, the radius and the arc length?

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

The superscript 'c' shows angle measured is in radians.

If radius of the circle is of r units, then:

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

We are given that;

Radius=5units

Radian=180 degrees

Now,

The arc length of a circle is given by the formula:

arc length = (r * theta)

where r is the radius of the circle and theta is the angle in radians subtended by the arc at the center of the circle.

We know that the radius of the circle is 5 units, and we want to find the radian measure of an arc that subtends an angle of 180 degrees.

Since 180 degrees is half of a full circle, the arc length of this arc will be half of the circumference of the circle:

arc length = (1/2) * 2 * pi * r

          = pi * r

Plugging in r = 5, we get:

arc length = pi * 5 = 5pi

Now we can use the formula for arc length to find the radian measure of the arc:

arc length = r * theta

5pi = 5 * theta

theta = pi

Therefore, by the arc length the answer will be [tex]\pi[/tex] radians.

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helppppp
Suppose the annual interest rate is 7.5% and the interest is compounded annually. How much will an investment of $1,000 be worth after 3 years?

Answers

The amount after 3 years with an interest rate of 7.5% will be $1,242.3.

What is compound interest?

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Assume the yearly interest rate is 7.5% and the interest is compounded once a year.

If the amount of investment is $1,000 and the amount after 3 years is given as,

A = P(1 + r)ⁿ

A = $1,000 × (1 + 0.075)³

A = $1,000 × (1.075)³

A = $1,000 × 1.24229

A = $1,242.3

The amount after 3 years with an interest rate of 7.5% will be $1,242.3.

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Find the missing degrees in the circle

Answers

The missing degrees in the circle are 260 degrees.

What is circle ?

A circle is a geometrical shape that represents a set of points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is called the radius, and the diameter of the circle is the distance across its widest point, passing through the center.

To find the missing degrees in the circle, we need to use the fact that the sum of the central angles in a circle is equal to 360 degrees.

In this circle, we have two central angles: one measuring 100 degrees and the other measuring x degrees. We also know that the sum of these two central angles is equal to 360 degrees.

Therefore, we can set up the following equation:

100 + x = 360

To solve for x, we can subtract 100 from both sides:

x = 260

Therefore, the missing degrees in the circle are 260 degrees.

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27. For which values of k, if any, are u and v orthogonal? (a) u = (k. 1,3), v = (1,7,K) (b) u = (-2,k,k), v = (k. 5, k) 28. Use vectors to find the cosines of the interior angles of the triangle with vertices A(0,-1), B(1,-2), and C(4,1), 29. Use vectors to show that A(3, 0, 2), B(4,3,0), and C(8, 1.-1) are vertices of a right triangle. At which vertex is the right angle? 30. In each part determine whether the given number is a valid ISBN by computing its check digit. (a) 1-56592-170-7 (b) 0-471-05333-5 31. In each part determine whether the given number is a valid ISBN by computing its check digit. (a) 0-471-06368-1 (b) 0-13-947752-3

Answers

For two vectors to be orthogonal, their dot product should be zero.

(a) The dot product of u and v is k+21k=22k. For u and v to be orthogonal, 22k=0, which means k=0.

(b) The dot product of u and v is -2k^2+5k^2+k^2=4k^2. For u and v to be orthogonal, 4k^2=0, which means k=0.

Therefore, in both cases, the vectors are orthogonal when k=0.

Let AB and AC be vectors joining the points A(0,-1), B(1,-2), and C(4,1), respectively. Then,

AB = (1-0, -2-(-1)) = (1,-1)

AC = (4-0, 1-(-1)) = (4,2)

The cosine of the angle between two vectors u and v is given by the dot product of u and v divided by the product of their magnitudes, i.e., cos(theta) = (u.v)/(|u||v|).

(a) Cosine of angle A = cos(BAC) = (AB.AC)/(|AB||AC|) = (1(4) + (-1)(2))/sqrt(2^2+1^2 * 4^2+2^2) = 2/3

Cosine of angle B = cos(CAB) = (AC.AB)/(|AC||AB|) = (4(1) + 2(-1))/sqrt(4^2+2^2 * 2^2+1^2) = 1/3

Cosine of angle C = cos(ABC) = (AB.BC)/(|AB||BC|) = ((1)(3) + (-1)(-1))/sqrt(2^2+1^2 * 2^2+1^2) = 5/9

(b) Let AB and BC be vectors joining the points A(3,0,2), B(4,3,0), and C(8,1,-1), respectively. Then,

AB = (4-3, 3-0, 0-2) = (1, 3, -2)

BC = (8-4, 1-3, -1-0) = (4, -2, -1)

AC = (8-3, 1-0, -1-2) = (5, 1, -3)

The cosine of the angle between two vectors u and v is given by the dot product of u and v divided by the product of their magnitudes, i.e., cos(theta) = (u.v)/(|u||v|).

Cosine of angle A = cos(BAC) = (AB.AC)/(|AB||AC|) = (1(5) + 3(1) + (-2)(-3))/sqrt(1^2+3^2+(-2)^2 * 5^2+1^2+(-3)^2) = 0

Cosine of angle B = cos(CAB) = (AC.AB)/(|AC||AB|) = (5(1) + 1(3) + (-3)(-2))/sqrt(5^2+1^2+(-3)^2 * 1^2+3^2+(-2)^2) = -7/9

Cosine of angle C = cos(ABC) = (AB.BC)/(|AB||BC|) = ((1)(4) + (

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Write the first five terms of a sequence. Don't make your sequence too simple. Write both an explicit formula and a recursive formula for a general term in the sequence.

Answers

For the arithmetic sequence:

f(n) = f(1) + (n - 1)*4

Where the first term of the sequence is f(1) = 2

are:

f(1) = 2

f(2) =  6

f(3) = 10

f(4) =  14

f(5) =  18

How to write the first five terms of a sequence?

We want to write the first five terms of a sequence, so first let's define the sequence.

We can define an arithmetic sequence with the recursive formula:

f(n) = f(n) + 4

And the explicit formula.

f(n) = f(1) + (n - 1)*4

Where we can define the first term of the sequence as f(1) = 2

Then the first five terms are:

f(1) = 2

f(2) = 2 + 4 = 6

f(3) = 6 + 4 = 10

f(4) = 10 + 4 = 14

f(5) = 14 + 4 = 18

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Please help I’ll give brainliest!!

Answers

25-9x² can be expressed in factor form as (5+3x)(5-3x)

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 25-9x²

We have to factor it completely

We have an identity that a²-b²=(a+b)(a-b)

25-9x² can be written as 5²-(3x)²

Now apply the identity

(5+3x)(5-3x)

Hence, 25-9x² can be expressed in factor form as (5+3x)(5-3x)

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Follow the guided instructions below to rotate the figure 90° clockwise about the point (2, 3).

Answers

Answer:

Follow the guided instructions below to rotate the figure 90° clockwise about the point (2, 3).

Step-by-step explanation:

Follow the guided instructions below to rotate the figure 90° clockwise about the point (2, 3).

Answer:15 because it is connected to the line

Step-by-step explanation:

Real World Example 1 - Write and Solve an Inequality
a. Of the students surveyed at Madison High School, fewer than eighty-four said they have
never purchased an item online. This is about one-eighth of all those surveyed. How
many students were surveyed?





X < 84

8x < 84 (8)

The answer is 8x < 672

Answers

According to the information, the mathematical expression with which the problem is solved is 8x < 672.

How to find the expression that solves this problem?

To find the expression that solves this problem we must take into account that it is an inequality. So we must use the symbols greater than > or less than <. Additionally, we must read the information in the statement to identify how it goes to the inequality.

According to the above, there are less than 84 students who answered that they had never bought online (x). Then the expression would start like this:

x < 84

Subsequently, they do not say that x equals one eighth of the total number of students. Then the expression would be modified like this:

8x < 84 (8)

Finally, if we simplify this expression, it would look like this:

8x < 672

So, that would be the expression of this inequality.

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For a control to reference trajectory, a robot at (5, 0) should
join a line trajectory line from (2, 3) to (8, 7). Calculate the
normalized orthogonal distance.

Answers

The normalized orthogonal distance between the robot and the reference trajectory line is approximately 4.16.

The normalized orthogonal distance is the distance between the robot and the reference trajectory line. We can use the following formula to calculate the normalized orthogonal distance:

normalized orthogonal distance = |(y2 - y1)x0 - (x2 - x1)y0 + x2y1 - y2x1| / √((y2 - y1)^2 + (x2 - x1)^2)

Where (x0, y0) is the position of the robot, and (x1, y1) and (x2, y2) are the positions of the two points on the reference trajectory line.

Plugging in the values given in the question, we get:

normalized orthogonal distance = |(7 - 3)5 - (8 - 2)0 + 8*3 - 7*2| / √((7 - 3)^2 + (8 - 2)^2)

Simplifying the equation, we get:

normalized orthogonal distance = |20 - 0 + 24 - 14| / √(16 + 36)

normalized orthogonal distance = |30| / √(52)

normalized orthogonal distance = 30 / √(52)

normalized orthogonal distance ≈ 4.16

Therefore, the normalized orthogonal distance between the robot and the reference trajectory line is approximately 4.16.

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There are 1,000 grams in 1 kilogram. Lucas has a bucket with 2 kilograms of sand. Mac has a bucket with 4 kilograms of sand. How many grams of sand do they have in all?

Answers

In total, they have 6000 grams of sand.

What are basic arithmetic operations?

The basic arithmetic operations are the four fundamental mathematical operations used to manipulate numerical values. They are addition, subtraction, multiplication, and division.

To solve the problem, we need to know the conversion factor between kilograms and grams, which is 1 kilogram = 1000 grams.

First, we can find out how many grams of sand Lucas has in his bucket. We are given that he has 2 kilograms of sand, so we can use the conversion factor to convert kilograms to grams:

2 kilograms x 1000 grams/kilogram = 2000 grams

Therefore, Lucas has 2000 grams of sand in his bucket.

Next, we can find out how many grams of sand Mac has in his bucket. We are given that he has 4 kilograms of sand, so we can use the conversion factor again:

4 kilograms x 1000 grams/kilogram = 4000 grams

Therefore, Mac has 4000 grams of sand in his bucket.

To find out the total amount of sand they have in grams, we can add the amount of sand each of them has:

2000 grams + 4000 grams = 6000 grams

Therefore, in total, they have 6000 grams of sand.

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After solving an equation the answer is x=3. What can you say about the solution?

Answers

The solution to the equation is x=3, which means that when x is equal to 3, the equation is true.

The solution of an equation is the value of the variable that satisfies the equation.

In this case, the solution is x=3, which means that when x is substituted with 3, the equation is true.

We can say that the solution is unique, as there is only one value of x that satisfies the equation. It is also a real solution, as the value of x is a real number.

Additionally, we can say that the solution is finite, as there is a specific value for x that satisfies the equation.

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Aliza needs to run at a rate faster than 8.2 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below:​

Answers

Answer:

8.50667 or approximately 8.51 feet per second

Step-by-step explanation:

The most approximate way to get the feet per second is to multiply the miles per hour by 1.467.

Answer this easy geometry question. And no links, please.

Answers

Answer:

Yes, they are equal.

Step-by-step explanation:

Because these are both right triangles, we know that one angle is similar. And seeing that side MO is the hypotenuse of both triangles, by the SA theorem we know that the two are equal. Or because we know that this is a reactangle or square by the four equal angles, we know that because this triangle is split in half, the triangle have to be equal.

-Hope this

Which answer choice correctly represents the quotient of 28,134 divided by 71?
A.
B.
C.
D.

Answers

Answer:

please give brainliest

Step-by-step explanation:

396.253521127

In ΔIJK, i = 2. 1 inches, � m∠J=103° and � m∠K=13°. Find the length of k, to the nearest 10th of an inch

Answers

Answer:

k = .5 inches

Step-by-step explanation:

factor x^3 + 1/8
thank you

Answers

[tex]\textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) ~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] ~\dotfill\\\\ x^3+\cfrac{1}{8}\implies x^3+\cfrac{1^3}{2^3}\implies x^3+\left( \cfrac{1}{2} \right)^3~\hfill \stackrel{\textit{let's just for a second make}}{\cfrac{1}{2}=a} \\\\\\ x^3+a^3\implies (x+a)(x^2-ax+a^2)\implies \left( x+\frac{1}{2} \right)\left( x^2-\frac{x}{2}+\frac{1}{4} \right)[/tex]

i need helpp pp pp p

Answers

Answer:

I CAN NOT SEE THAT OML

Step-by-step explanation:

Prove that any two consecutive terms in the Fibonacci sequence
are relatively prime. (The Fibonacci sequence is given by f1 = 1,
f2 = 1, fn = fn−2 + fn−1.)

Answers

They are relatively prime.

Proof: Let fn and fn-1 be any two consecutive terms in the Fibonacci sequence. By definition, fn = fn-2 + fn-1. Since both fn and fn-1 are integers,

they must have no common factors other than 1,

so they are relatively prime.

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On a piece of paper, graph this system of inequalities. Then determine which
region contains the solution to the system.
y≤x-2
y²-x-4
OA. Region A
B. Region B
OC. Region C
OD. Region D
A
D
10
8
6
4
2
-10-8-04-2 01
2
-8
-8
-10
N
4
'В'
B
C
B
10

Answers

The region that contains the solution to the system is region B

How to determine the region with the solution

Given the following system of inequalities

y ≤ x - 2

y ≥ 1/4x - 4

Next, we analyze each of the inequalities expressions

Inequality 1: y ≤ x - 2

This is a less than or equal to inequalitySo, the bottom part is shaded

Inequality 2: y ≥ 1/4x - 4

This is a greater than or equal to inequalitySo, the upper part is shaded

Using the above as a guide, we have the following:

This means that the intersection regionn contains the solution

This is represented by the region (b)

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A factory manufactures a metal peice in 32 minutes new technology allowed the factory to cut that time by 8% then another improvement cut the time by 5% how long does it take to manufacture the peice now round your answer to nearest minute

Answers

The time is takes to manufacture the piece after two improvements is 28 minutes

Calculating how long it takes to manufacture a piece

From the question, we are to calculate how long it takes to manufacture a metal piece

First, we need to find the new time taken to manufacture the metal piece after the two improvements.

The first improvement reduces the time by 8%. This means that the new time is:

32 - (8% of 32)

= 32 - 2.56

= 29.44 minutes

The second improvement reduces the time by 5%. This means that the new time is:

29.44 - (5% of 29)

= 29.44 - 1.45

= 27.99 minutes

We can round this to the nearest minute, which gives us 28 minutes.

Hence, it takes 28 minutes to manufacture the metal piece.

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Obtain the general solution to a 2nd order derivative for f(x)with real coefficients if one of the roots of the auxiliaryequation is 3 + 7i Which point is a solution to this system of inequalities? the majority of white laborers in the Chesapeake colonies(Virginia and Maryland) were indentures (indentured servants). Indentured servants were Please people help me with this :Now that you have read both "Time capsule" and "The End of Science Fiction," write a short response:Discuss the common themes in each poem. What mistakes have both societies made in the name of progress? Do you think the society in "The End of Science Fiction" has passed the point of no return like the society Margaret Atwood describes in "Time capsule"? Why or why not? What advice do you think the narrators of the two poems would give to each other? Consider the function y=z+2x+3Part AWhat are the coordinates of the vertex of the given function? Show your work.Part BWhat is the function in vertex form? Pleaseee help!!! Help me! Which number sentence is true?ABCD Please help me to solve this math problem:-From a port P, a ship sails 46 km on abearing of 104 followed by 32 km on abearing of 310%.a Calculate the distance and bearing ofthe ship from P after this journey.b The ship travels west until it is duenorth of P, The captain says they they arenow less than 10 km from P.Is he correct? The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable. A mapping diagram with one circle labeled x-values containing values negative 8, negative 5, negative 1, 1, and 12 and another circle labeled y values containing values negative 4 and negative 2 and arrows from negative 8 to negative 4, negative 5 to negative 2, negative 1 to negative 2, 1 to negative 2, 12 to negative 4, and 12 to negative 2. The question is present in the image A student is making a solution of NaCl in water. If the student uses 6.72 grams of NaCl and enough water to make 2.14 liters of solution, what is the molarity of the student's salt solution? Express the product of ((2)/(3)x+(4)/(3)) and (2x+(5)/(6)) as a trinomial in simplest form. A company has 20 employees. Each employee earns the same salary. If the company pays a total of $730,000 in salaries, how much does each employee earn? Does the internal environment of a cell change based on its external environment? A bank is offering you a mortgage on a house that costs $250,000. The down payment is 3% of the purchase price and the closing costs are another 3%. The interest rate is 5.5% and the loan term is 30 years. What amount of money do you need to save to purchase the home (down payment + closing costs)? What is the total amount the bank will be loaning you? What do you expect your monthly payments to be? Can someone help me with punctuation mark, dots, commas and words if there wrong, please What are the other three angle measures if 1 has a measure of 45? I WILL GIVE U 55 POINTS PLSSSSS(The Americas: The Aztecs MC) How were the Aztecs and ancient Egyptians alikeBoth depended on women to rule them. bBoth worshipped the same religious figures. cBoth used viziers to supervise the government. dBoth based their culture on available water sources To illustrate how DV01 changes with maturity, we consider a bond with yield y = 3.5% for different maturities, including perpetuity and different values of coupons:a) zero coupon bondsb) discount bonds with coupon rate c = 0.75%c) par bondsd) premium bonds with coupon rate c = 6.2%DV01 is the change in the Dollar Value of a security for a 1 basis point change in rates. Example 1: 20 year 5% (semi-annual) coupon bond issued at par. What is its yield? Change y by one b.p (up or down) . and determine the change in the price. Formally DV01 is defined asDV01= 1 P 10000 ywhere P is the slope of the curve, yield-price, which can be yestimated through usual finite difference:P P y y Nina has 100 rupess note. She spent 40 rupess on clothes so she is left with 60 rupees then she spent 30 rupees on food so she is left with with 30 rupess and now she spends 18 rupess on jewellry so she is left with 12 rupees then she spends 12 rupess on snacks and now she is left with 0 rupess. Now when she adds 40, 30, 18, 12 she gets 100 rupees but when she adds 60, 30, 12 and 0 she gets 102. How? What is the equation of a line perpendicular to y = 12x + 3, which has an x-intercept 8 units greater than the x-intercept of y = 12x + 3?