4x+8<2x+2

this has quite a bit of points

The present value of the bond is $32.67. Bond valuation is a method used to determine the theoretical fair value of a specific bond.

The main goal of this valuation process is to determine the maximum amount an investor should pay for a bond. To calculate the present value of the bond, we use the following formula:

PV = FV/(1 + i)nwherePV = present value of the bondFV = future value of the bondn = number of years in the future when the bond will be paidi = discount rateWe can now calculate the present value of the bond as follows: PV = $34/(1 + 0.08034)6PV = $34/1.5931PV = $21.35

Therefore, the present value of the bond is $21.35. Hence, option 1 is incorrect. To determine the correct answer from the options given, we need to use the following formula: PV = FV/(1 + i)nPV = $34/(1 + 0.08034)6PV = $34/1.5931PV = $21.35 Since the bond promises to pay $34, the bond's present value is $21.35, which is less than the face value.

Thus, the bond is trading at a discount. To determine the current market value of the bond, we need to subtract the discount from the face value as follows: Market value of bond = FV - discountMarket value of bond = $34 - $21.35Market value of bond = $12.65

Therefore, the Present Value of the bond is $32.67. Hence, option 2 is correct.

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Answer:

a) Exterior Angle Theorem

b) x = 109°

Step-by-step explanation:

For a, you can thank the Exterior Angle Theorem. Since the angles of a triangle equal 180°, we can figure out what the third interior angle's measurement is, then subtract that from 180 to get the exterior angle's measure. Since the two angles labeled (64° and 45°) will make an obtuse angle, then the third interior is an acute angle. Add 64 and 45 to get the exterior angle's measurement of 109 degrees. That would mean the third interior angle's measurement would be 71 degrees. 64 + 45 + 71 = 180, so this is true.

(I had used the HSEAT to explain this.)

Answer:

the equation for the slope inception from

y=\(\frac{6}{5}\)\(x^{2}\) + \(\frac{11}{5}\)x + 34

Step-by-step explanation:

Answer:

B. AC > AB

Step-by-step explanation:

AC is the longest line and AB is shorter than AC

The minimum distance the annihilation event could have occurred from the center of the machine is approximately 98.94 nanometers.

To determine the minimum distance the annihilation event could have occurred from the center of the machine, we can use the speed of light as a constant and the time difference between the collisions of the gamma rays.

The speed of light in a vacuum is approximately 299,792,458 meters per second (m/s).

Since the time difference between the collisions of the gamma rays is given as 0.33 nanoseconds, we need to convert this time to seconds. One nanosecond is equal to 1 × 10⁻⁹seconds.

0.33 nanoseconds is equal to 0.33 × 10⁻⁹ seconds.

Now, we can calculate the minimum distance using the equation:

Distance = Speed of light × Time

Distance = 299,792,458 m/s × 0.33 × 10⁻⁹ seconds

Distance ≈ 98.94 nanometers

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The total distance from Nina's house to the school to the community center (20 units) is greater than the total distance from Nina's house to the school to the grocery store (18 units).

Part a: To calculate the distance in units from Nina's house to her school using absolute values, we need the coordinates of both locations. Let's assume Nina's house is located at point A (x1, y1) and her school is located at point B (x2, y2). The distance between these two points can be calculated using the distance formula:

Distance = |x2 - x1| + |y2 - y1|

Let's say Nina's house is at coordinates (3, 5) and her school is at coordinates (-2, -1). Plugging these values into the formula:

Distance = |(-2) - 3| + |(-1) - 5|

        = |-5| + |-6|

        = 5 + 6

        = 11 units

Therefore, the distance from Nina's house to her school is 11 units.

Part b: To determine whether the total distance from Nina's house to the school to the grocery store is greater than the total distance from Nina's house to the school to the community center, we need the distances between these locations. Let's assume Nina's house is point A, her school is point B, the grocery store is point C, and the community center is point D.

Let's say the distance from Nina's house to the school is 11 units, the distance from the school to the grocery store is 7 units, and the distance from the school to the community center is 9 units.

Total distance from Nina's house to the school to the grocery store = 11 + 7 = 18 units

Total distance from Nina's house to the school to the community center = 11 + 9 = 20 units

Therefore, the total distance from Nina's house to the school to the community center (20 units) is greater than the total distance from Nina's house to the school to the grocery store (18 units).

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Step-by-step explanation:

this is the answer

25+10y+y^2

The value of "n" is 6.

"n" is related to a circle with intersecting chords labeled 5, n+4, 7, and n+8 [1]. To find the value of "n", we can use the property that states that if two chords intersect inside a circle, the products of their segments are equal. Using this property, we can set up the following equation:

7(n+4) = 5(n+8)

Expanding the brackets, we get:

7n + 28 = 5n + 40

Simplifying, we get:

2n = 12

n=6

A circle is a two-dimensional geometric shape that is defined as a set of all points in a plane that are at a fixed distance (called the radius) from a given point (called the center). It is a closed shape, meaning that it has no beginning or end, and its boundary is a continuous curve.

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The height of the center of the Ferris wheel 51 m.

The height of capsule M is 51 m and the height of capsule T is 102 m.

Using this information, we can calculate the height of the center of the Ferris wheel, the height of capsule M, and the height of capsule T.

Height of the center of the Ferris wheel:

The center of the Ferris wheel is the midpoint of its diameter. Therefore, the height of the center of the Ferris wheel is half of the height of the top of the wheel above the ground.

Height of center of Ferris wheel = 102 meters / 2 = 51 meters.

Height of capsule M:

Since capsule M is at the same height as the center of the Ferris wheel, the height of capsule M is also 51 meters.

Height of capsule T:

Since capsule T is at the very top of the Ferris wheel, its height above the ground is equal to the height of the top of the Ferris wheel above the ground.

Height of capsule T = 102 meters.

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Answer:

10. 5.5 min

20. 48 text messages

Step-by-step explanation:

55 *0.1 = 5.5

240*0.2 = 48

Answer:

5.5x10=55      Tatum spent 5.5 minutes warming up

The required value of the account after 2 years is $337.08.

The equation below represents the value V of a bank account in which $300 is invested at 6.00% interest compounded yearly:

\(V = 300 \times (1.06)^t\)    .....(i)

where t is the period in years.

It is required to find the value of the account after 2 years.

The value of the bank account after 2 years can be found by substituting t = 2 into the given equation (i):

V = 300 × (1.06)²

V = 300 × 1.1236

Apply the multiplication operation to get

V = 337.08

Therefore, the value of the account after 2 years is $337.08.

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Answer:

y = 3x - 9

Step-by-step explanation:

First, find the slope using y2 - y1 / x2 - x1

36 - 21 = 15

15 - 10 = 5

15/5 = 3, so the slope (m) is 3.

Now, plug into point-slope form: y - y1 = m (x - x1)

y - 21 = 3 (x - 10)

Simplify

y - 21 = 3x - 30

y = 3x - 9

I hope this helps!!

Other fractions could represent the part of the beads on the bracelet that will be green are : 1/3, 2/6, 3/9, 4/12.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

The maximum number of beads the bracelet can have  = 12 beads

The fraction of green beads in the bracelet = 1/3

⇒ 1 bead in every 3 bead is GREEN.

⇒The minimum number of total beads = Number of (green+ Other) bead                                                           = 2 + 1  = 3

Now, the possible number of total beads the bracelet can have is

3, 4, 5 , 6, 7, 8, 9 ,10, 11 and 12.

If there are total 3 beads, the fraction representing the green bead  = 1/3

If there are total 6( =3 +3) beads, the fraction representing the green bead  

= 1 green bead in first 3 beads +  1  green bead in next 3 beads

=   2 green beads in total 6 beads

=   2/6

If there are total 9( = 3 +3 +3) beads, the fraction representing the green bead  = 3/9

If there are total 12( = 3 +  3 +3 +3) beads, the fraction representing the green bead  = 4/12

Hence, other fractions could represent the part of the beads on the bracelet that will be green are :1/3, 2/6, 3/9, 4/12.

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Answer:

√20 units.

Step-by-step explanation:

Please see attached photo for diagram.

The other leg of the triangle is x as shown in the attached photo.

Using the pythagoras theory, we can obtain the the value of x as follow:

x² = 4² + 2²

x² = 16 + 4

x² = 20

Take the square root of both side.

x = √20 units

Therefore, the value of the other leg x of the triangle is √20 units

Answer:

\(\sqrt{} 20\) is your answer hope this helps

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

a dozen equals 12

two dozens equals 24

so u do 24 times 2.50

hope this helps

The two lines are parallel because both have equal slope.

What area parallel lines?

If two lines do not cross one another anywhere on the plane, they are considered to be parallel. All parallel lines are spaced equally apart from one another.

Numerous forms have parallel lines running along their edges. In the rectangle below, the single and double arrow lines, as well as their junction points, are parallel to one another. Additionally, it is possible to create both horizontal and vertical shapes.

Given : line 1  : y=5x+1

          line 2 :  2y-10x+3=0

                       2y = 10x - 3

We know that, parallel lines always have equal slope.

The slope can be found by using formula :

     coefficient of y / coefficient of x

So, here, line 1 has slope = 2/10 = 1/5

and, line 2 has slope = 1/5

So, both have same slopes hence, both are parallel lines.

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The probability that the sum of all dice rolls is even when a fair, 6-sided dice is rolled until a 6 shows up is equal to 1/2.What are random variables?Random variables are variables that can take on several different values, each with an assigned probability, in statistics.

The chance of getting each value is a probability value that indicates how frequently each value should appear in a large sample size.A dice that is fair and has six sides is rolled until a 6 shows up. The rolls would be 1 to 5, with equal probability (1/5 each). There are even and odd numbers among 1 to 5, and the probability of an odd number is the same as the probability of an even number. The first six shows up and the game ends when it comes up.

So, when an even number of rolls are made, the sum of all dice rolls is even. When an odd number of rolls are made, the sum of all dice rolls is odd.There is a 1/2 probability that the game will end after an even number of rolls. If the game ends after an odd number of rolls, the sum of all dice rolls is odd, thus the probability of the sum of all dice rolls being even is 1/2, the main answer.

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Answer:

The answer is A because the line is in -2 negative and positive 5

0.38 is 7/18 (filling space)

Answer:

0.388888889

Step-by-step explanation:

It would be 1 by 3

Since [4 -1 0] and [2 1 0] are both 1 by 3, the result should be the same since they match up.

also im learning the same thing right now lol

The numerical length of the line segment FG is 10 units.

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Point G is on FH, hence:

FH = FG + GH

Given that GH = 8, FH = 3x + 3, FG = 2x, hence:

3x + 3 = (2x) + 8

x = 5

FG = 2x = 2(5) = 10

The numerical length of the line segment FG is 10 units.

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The cost for the replacement for the window as required to be determined in the task content is; $1826.77.

It follows from the task content that the cost of replacing the window is required to be determined.

Since the triangular window mimics an equilateral triangle, it's area, A given side length, a is;

A = √3/4 • a².

Ultimately, the area of the window is;

A = √3/4 • 15²

A = 97.42785793 ft².

Since glass costs; 18.75 per square foot; it follows that the cost of replacing the window is; 97.42785793 ft² × 18.75 = $1826.77.

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Answer:

box plot becauase wire width is numerical :)

Step-by-step explanation:

6 seconds, i think

sry if im wrong

Answer:

A because it is a square root. all of the other answers are rational. Please vote Brainliest!

Answer:

yes I will give you correct answer but please follow me

The linear function showing the cargo ship’s path on the map is given at the image at the end of the answer.

The slope-intercept representation of a linear function is given by the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are explained as follows:

In this problem, the function is given as follows:

y + 20 = -2x.

In slope-intercept format, the function is:

y = -2x - 20.

This means that:

Hence the line is presented on the image given at the end of the answer.

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Answer:

y parallel =10 or 10

Step-by-step explanation:

The observed allele frequencies for the T102C locus are as follows: T allele frequency = 0.388 and C allele frequency = 0.612.


To calculate the observed allele frequencies, we divide the number of occurrences of each allele by the total number of alleles observed.

In this case, the T allele is observed in 108 TT genotypes and 194 TC genotypes, giving a total of 108 + 194 = 302 T alleles. Similarly, the C allele is observed in 194 TC genotypes and 48 CC genotypes, giving a total of 194 + 48 = 242 C alleles.

To calculate the T allele frequency, we divide the number of T alleles by the total number of alleles: 302 T alleles / (302 T alleles + 242 C alleles) = 0.388 (or approximately 0.39).

Similarly, the C allele frequency is calculated as: 242 C alleles / (302 T alleles + 242 C alleles) = 0.612 (or approximately 0.61).

Therefore, the observed allele frequencies for the T102C locus are T allele frequency = 0.388 and C allele frequency = 0.612.

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Explanation

We are given the following:

We are required to determine the equation of the ellipse.

We know that the general equation of an ellipse is of the form:

We can determine the equation of the ellipse as follows:

Hence, the answer is: