Find the missing side lengths. Leave your answers as radicals in simplest form.
Please help!!!! Due today

The amount (present value) of a semi-annual coupon paid for a 3% bond with a face value of 80,000 which matures after 15 years is $80,000.

The price of a bond is its present value.

The present value can be determined as the discounted cash inflows.

In this situation, we can determine the present value of the bond using an online finance calculator as follows:

N (# of periods) = 30 (15 years x 2)

I/Y (Interest per year) = 3%

PMT (Periodic Payment) = $1,200

FV (Future Value) = $80,000

Results:

Present Value (PV) = $80,000.00

Sum of all periodic payments = $36,000.00

Total Interest = $36,000.00

Thus, the amount of the bond is $80,000.

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it is false but 4 is not y-4x=0

Let her standard pay rate = x

She worked 40 hours for x per hour she also worked 5 hours at 1.5x ( time and a half)

Write an equation:

40x + 5(1.5x) = 1163.75

Simplify:

40x + 7.5x = 1163.75

Combine like terms:

47.5x = 1163.75

Divide both sides by 47.5

X = 24.50

Her regular hourly rate is $24.50

Answer:

let rate be x

by question

40x+7.5x=1163.75

x=1163.75/47.5=24.5

her regular income is $24.5 per hour.

The siblings met at the point (4,7). This can be determined by looking at the graph and seeing that the point (4,7) is the only point with an x-coordinate of 4 and a y-coordinate of 7.

Coordinate refers to the pair of numbers used to identify the position of a particular point on a graph, map, or other two-dimensional plane. Each coordinate consists of an x-coordinate and a y-coordinate that indicate the horizontal and vertical position of the point, respectively. Coordinates can be used to plot points, draw shapes, and determine distances between points. For example, the coordinates (4, 7) would tell you that the point is located four units to the right and seven units up from the origin point. Coordinates can also be used to describe the location of a point in three-dimensional space, with the addition of a z-coordinate.

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Answer: 45°

Step-by-step explanation:

The diagonals in squares are axes of symmetry.

This means the cut the corner angles in half.

90° ÷ 2 = 45°

Answer:

[tex]8 \sqrt{2} [/tex]

Step-by-step explanation:

8²+8²=(BC)²

64+64= 128

BC²=128

BC=

[tex]8 \sqrt{2} [/tex]

Answer:

[tex] V_{prism} = 222\: cm^3 [/tex]

Step-by-step explanation:

For bottom portion:

l = 8 cm, w = 6 cm, h = 2 cm

[tex] V_1= lwh = 8*6*2= 96 \: cm^3 [/tex]

For top portion:

l = 6 cm, w = 3 cm, h = 9 - 2 = 7 cm

[tex] V_2= lwh = 6*3*7= 126 \: cm^3 [/tex]

[tex] V_{prism} = V_1 + V_2[/tex]

[tex] V_{prism} = 96 + 126[/tex]

[tex] V_{prism} = 222\: cm^3 [/tex]

Another way:

[tex] V_{prism} = 8*6*9-6*5*7[/tex]

[tex] V_{prism} = 432-210[/tex]

[tex] V_{prism} = 222\: cm^3 [/tex]

Answer:

Elliot = 16 years old

Miya = 10 years old

Cara = 25 years old

Step-by-step explanation:

Define the variables:

The average age of Elliot, Miya and Cara is 4 years more than the average age of Elliot and Miya:

[tex]\implies \dfrac{x+y+z}{3}=\dfrac{x+y}{2}+4[/tex]

[tex]\implies \dfrac{x+y+z}{3}=\dfrac{x+y+8}{2}[/tex]

[tex]\implies 2(x+y+z)=3(x+y+8)[/tex]

[tex]\implies 2x+2y+2z=3x+3y+24[/tex]

[tex]\implies 2z=x+y+24[/tex]

[tex]\implies x=2z-y-24[/tex]

Cara is 9 years older than Elliot:

[tex]\implies z = x + 9[/tex]

Four years ago, Elliot was double the age of Miya:

[tex]\implies (x - 4) = 2(y - 4)[/tex]

[tex]\implies x - 4 = 2y-8[/tex]

[tex]\implies x +4 = 2y[/tex]

[tex]\implies y=\dfrac{1}{2}x +2[/tex]

Substitute the equations for z and y into the equation for x and solve for x:

[tex]\implies x=2z-y-24[/tex]

[tex]\implies x=2(x+9)-\left(\dfrac{1}{2}x +2\right)-24[/tex]

[tex]\implies x=\dfrac{3}{2}x-8[/tex]

[tex]\implies \dfrac{1}{2}x=8[/tex]

[tex]\implies x=16[/tex]

Substitute the found value of x into the equation for z and solve for z:

[tex]\implies z = 16 + 9[/tex]

[tex]\implies z = 25[/tex]

Substitute the found value of x into the equation for y and solve for y:

[tex]\implies y=\dfrac{1}{2}(16) +2[/tex]

[tex]\implies y=8+2[/tex]

[tex]\implies y=10[/tex]

Therefore, the ages of Elliot, Miya and Cara are:

Answer:

A. (4,0) and (- 1,0) is the answer

Answer:

Ok Cool thx i guess.

Step-by-step explanation:

Its rectangle btw.

Answer:

It is in its simplest form

Step-by-step explanation:

When the points are (2, 6), (2, -2), and (8 units), the polygon's or triangle's area is 8. ( 4 , -2)

A triangle, which is a polygon, has three sides and three vertices. One of geometry's basic shapes is it. A triangle with the vertices A, B, and C is referred to as Triangle ABC. A unique plane and triangle are discovered in Euclidean geometry when the three points are not collinear. Having three sides and three corners, a triangle is a polygon. The triangle's corners are defined as where the three sides meet one another end to end. 180 degrees is the sum of the angles in a triangle.

given

area of the polygon ( triangle ) = 1/2 * b * h

= 1/2 * 4 * 4

= 8 units

so When the points are (2, 6), (2, -2), and (8 units), the polygon's or triangle's area is 8. ( 4 , -2)

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Producing written and visual content for social media can be divided into two items that can be developed as a one-person small business in a little amount of time.

Social media is internet communication that enables real-time information sharing and customer interaction. Social networking can help you: better connect with your audience. building online networks sell and publicise the goods and services you offer.

Social media's effects on business

The social media presence of businesses in order to boost visibility, engagement, positioning, and value creation for their intended audience has been facilitated by the digital revolution.

In order to help businesses establish their strategy in the digital environment, marketing and advertising agencies can quickly produce digital media such posters and catalogues in addition to advertising text as their core offerings.

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Plug in values of x to find corresponding values of y.

For example, replace x with 0 to find that...

y = -5x-3

y = -5*0 - 3

y = 0 - 3

y = -3

We have x = 0 lead to y = -3.

Therefore, the point (0, -3) is on this line. This is the y intercept.

Now try something like x = 1

y = -5x-3

y = -5*1 - 3

y = -5 - 3

y = -8

It shows the point (1,-8) is also on the line.

The straight line goes through (0,-3) and (1,-8)

We can repeat this process infinitely many times since there are infinitely many numbers to pick for x.

See the graph below. I used GeoGebra to make it, but you can use something like Desmos or similar.

Answer: It's closer to 1/2

Step-by-step explanation: It's closer to 1/2 and here's why:

So, 1/2 (exact) is 8/16

0 = 0

1 = 16/16

Since 9/16 is the closest to 8/16 or around 1/2 in this case, it'd be about 1/2. I hope this helps!

✵Answer:

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hope it helps...

have a great day!!

Answer:

p-value≈0.025

Step-by-step explanation:

Khan Academy

From the stimulated results, the p-value of the test will be 0.025.

It should be noted that a p-value simply means a measure of the probability which an observed difference could have occurred by random choice.

In this case, the class took a random sample of n = 24 students and the mean height of students in their sample was Ž = 166.5 cm.

The p value of 0.025 indicates that the hypothesis fails to account for the facts that were presented.

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Answer:

It would be 0.62.

Step-by-step explanation:

This is because the total probability is 1 and the chance of it being a green ball is 0.38, so:

1 - 0.38 = 0.62.

Answer:

30 quarts= 0.8057 bushels

rounded to the nearest hundredths = 0.81

Answer:

60

Step-by-step explanation:

see attachment for explanation

Answer:

Volume is 167.6

Step-by-step explanation:

V = pi*r²*h /3

V = pi*4²*10/3

V = pi*16*10/3

V = 50.26548246*10/3

V = 167.55

Answer:

Below

Step-by-step explanation:

"Lynn is making a snack. The recipes call for 3/8 cup of water for oats and 1/4 cup"

(I changed the numbers to fractions ....)

she needs   3/8 + 1/4 cup ....add them together by finding a common denominator

1/4 = 2/8    

then   3/8 + 2/8 = (3+2)/8 = 5/8 cup

  if she has one cup of water she has enough....she only needs 5/8 cup

Answer:

The solution is b

Step-by-step explanation:

3× -2y-9

4x +3y =22

Answer:

7 seconds that Hannah runs on the side walk

Step-by-step explanation:

let's A is the second that Hannah runs on the side walk.
and B is the second that Hannah runss on the cross street. Base on the information we have 2 equations for 2 unknowns .
A + B = 12
16 A + 3 B =  127  simply to add/subtract column we have
=> 16A + 3B  = 127 (1)
      3A + 3B = 36  (2)  runs on the side walk.
And 12-7 =5 seconds is the time that Hannah runs on the cross street.

Hannah spend 7 seconds for running on the sidewalk.

Here,

Hannah runs down the street to catch her bus.

She runs for a total of 12 seconds.

On the sidewalk, she runs 16 feet per second. When she crosses the street, she runs 3 feet per second.

Hannah runs a total distance of 127 feet.

We have to find, How many seconds did Hannah spend running on the sidewalk.

What is Linear equation in two variables?

Linear equations in two variables is defined as, If a, b, and r are real numbers then ax + by = r is called a linear equations in two variables.

Now,

Let X is the second that Hannah spend running on the sidewalk.

And, Y is the second that Hannah runes on the cross the street.

Since, She runs for a total of 12 seconds.

⇒ X + Y = 12 .... (i)

And,  On the sidewalk, she runs 16 feet per second. When she crosses the street, she runs 3 feet per second and Hannah runs a total distance of 127 feet.

⇒ 16 X + 3 Y = 127 ....(ii)

By solving equation (i) and (ii), we get;

⇒ X = 7 and Y = 5

Hence, Hannah spend 7 seconds for running on the sidewalk.

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The required temperature in Beijing China is -7°C on Tuesday.

As mentioned in the numeral,

On Monday in December
The temperature in Harbin China is  -8°C,

Now,
The Temperature in Beijing china is -2°C
According to the condition, the temperature on the next day in Beijing is 5° degrees colder than it was yesterday since the temperature is becoming colder implying that the temperature is getting decreased by -5°C.

The temperature on Tuesday is given as,
T = -2°C - 5°C  [subtracting -5 because the temperature is decreased]
T = - 7°C

Thus, the required temperature in Beijing China is -7°C on Tuesday.

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Answer:

There are 23 students

-- 9 students play neither sport

-- therefore, 23 - 9  =  14 students play at least one of the two sports; some play both sports.

Inclusive or:  the probability will be:  14 / 23 that a student chosen at random will play at least one of the two sports.

Exclusive or: we need to first find how many students play both sports.

Since 14 persons play sports and since 7 play basketball and 12 play baseball, this requires 7 + 12 = 19 students.

Subtracting  19 - 14 = 5 give the number of students who play both sports.

If we eliminate these 5 persons as well as the 9 who play neither sport, we have to eliminate 5 + 9  =  14 persons.

This gives 23 - 14 = 9 persons who play only one of the two sports.

The probability will be:  9/23 play a sport, but only one sport.

Step-by-step explanation:

The probability that a student does not play an instrument given that they play a sport is 6/7 or approximately 0.857.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To find the probability that a student does not play an instrument given that they play a sport, we need to use conditional probability.

Let A be the event that a student plays a sport and B be the event that a student plays an instrument.

We want to find P(not B | A), which is the probability that a student does not play an instrument given that they play a sport.

We know that,

P(A) = 7/23, P(B) = 9/23, and P(A and B) = 3/23.

Using the formula for conditional probability, we have:

P(not B | A) = P(A and not B) / P(A)

We can find P(A and not B) by using the fact that,

P(A and B) = P(B) - P(A and not B).

P(A and not B)

= P(B) - P(A and B)

= 9/23 - 3/23

= 6/23

Substituting into the formula, we get:

P(not B | A) = (6/23) / (7/23) = 6/7

Therefore,

The probability that a student does not play an instrument given that they play a sport is 6/7 or approximately 0.857.

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Answer:

A. m<C = 57 degrees, a = 12, b = 19

Step-by-step explanation:

First we can start by calculating Angle C by using the rule that all interior angles of a triangle always add to 180 degrees:

180 - (39+84) = C

180 - 123 = C

C = 57

Now let's calculate side a. We can do this by using the sin rule: [tex]\frac{sin A}{a}=\frac{sin C}{c}[/tex]

According to the diagram we know that Angle A is 39 degrees, Angle C is 57 degrees, and side c is 16 so we can substitute these values into the formula and solve:

[tex]\frac{sin39}{a} =\frac{sin 57}{16} \\\\\frac{0.629320}{a} =\frac{0.838671}{16}\\\\0.629320=0.052417a\\0.629320/0.052417=a\\a= 12[/tex]

We can use the same method to solve for side b:

[tex]\frac{sin84}{b} =0.052417 \\0.994522=0.052417b\\0.994522/0.052417=b\\b= 19[/tex]

We now have the following values:

Angle C = 57 degrees, a = 12, b = 19

We can now see that A/Number 1 is the correct option.

Hope this helped!

Answer:

8,100,000,000

Step-by-step explanation:

I used a calculator lol