The statements which is true for a bond of par value $1,000 is that the market value includes a discount of $47. 70.
What is market value?Market value is the current price of a product, company, or something consorting to the stock of the market.
It is the price which is required to buy something in the current market.
Bonds issued by Animite Energy are selling at a rate of 95.230. This is the bond percentage of the Animite energy in the market. This means if someone wants to buy 95.230 of this company's bond, then he get $100.
Now for the 1000 bonds, the amount required is,
[tex]C=95.230\times10\\C=952.30[/tex]
Hence, for the 1000 bonds, the amount required is 952.30. Therefore, the discount will be,
[tex]d=1000-952.30\\d=47.70[/tex]
Hence, the statements which is true for a bond of par value $1,000 is that the market value includes a discount of $47. 70.
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Answer:c
Step-by-step explanation:
If the Product is -16 and the Sum is -6, what are the two factors?
Answer:
11 * 5 = 55
Step-by-step explanation:
The factors are 5 and 11?
HURRY! 60 POINTS. BRAINLIEST. A THANKS AND 5 STARS IF CORRECT.!! ANSWER THE QUESTION IN THE SCREENSHOT
Answer:
(a) (3x +1)(x +1)
Step-by-step explanation:
The values of the factors are represented by the horizontal and vertical dimensions of the area. In each direction, we have a "blue" dimension, and a "red" dimension.
Horizontally, we have a dimension of (3 × blue + 1 × red).
Vertically, we have a dimension of (1 × blue + 1 × red).
We can assign blue = 1, red = x, and we would have (3 +x)(1 +x). This does not match any answer choices.
We can also assign blue = x, red = 1, and we would have (3x +1)(x +1). This matches the first answer choice.
The product which is represented by the algebra tiles is (a) (3x +1)(x +1)
What is Algebra?This refers to the branch of mathematics where letters and symbols are used to represent numbers.
Hence, we can see that from the given image, there are different values which shows the horizontal and vertical dimensions of the area and from the:
First dimension horizontally, we have (3 × blue + 1 × red)Second dimension vertically, we have (1 × blue + 1 × red).Hence, if we represent the values of blue = 1, red = 1, then it would produce (3x +1)(x +1) and this is the correct answer.
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Find the value of each trigonometric ratio. Express as fraction
Answer:
the answer of cosc= 8/17
PLEASEEE I NEED MORE ANSWERS
Answer:
3 loaves of bread
Step-by-step explanation:
2/3*3=6/3= 2 cups of oil
Which of the following probabilities is equal to approximately 0. 2957? Use the portion of the standard normal table below to help answer the question. Z Probability 0. 00 0. 5000 0. 25 0. 5987 0. 50 0. 6915 0. 75 0. 7734 1. 00 0. 8413 1. 25 0. 8944 1. 50 0. 9332 1. 75 0. 9599 P (negative 1. 25 less-than-or-equal-to z less-than-or-equal-to 0. 25) P (negative 1. 25 less-than-or-equal-to z less-than-or-equal-to 0. 75) P (0. 25 less-than-or-equal-to z less-than-or-equal-to 1. 25) P (0. 75 less-than-or-equal-to z less-than-or-equal-to 1. 25).
Probability of an event is the measure of its chance of occurrence. The event out of the listed events whose probability is 0.2957 is given by : Option C: [tex]P(0.25 \leq Z \leq 1.25)[/tex]
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z-score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p-value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
Using the z-table, we get the needed probabilities as:
Case 1:
[tex]P(-1.25 \leq Z \leq 0.25) = P(Z \leq 0.25) - P(Z \leq -1.25) \approx 0.5987 - 0.1056 = 0.4931[/tex]
Case 2:
[tex]P(-1.25 \leq Z \leq 0.75) = P(Z \leq 0.75) - P(Z \leq -1.25) \approx 0.7734- 0.1056=0.6678[/tex]
Case 3:
[tex]P(0.25 \leq Z \leq 1.25) = P(Z \leq 1.25) - P(Z \leq 0.25) \approx 0.8944 - 0.5987=0.2957[/tex]
Case 4:
[tex]P(0.75 \leq Z \leq 1.25) = P(Z \leq 1.25) - P(Z \leq 0.75) \approx 0.8944 - 0.7734 =0.1210[/tex]
Thus, the event out of the listed events whose probability is 0.2957 is given by : Option C: [tex]P(0.25 \leq Z \leq 1.25)[/tex]
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the question is in the picture i attached. the right answer gets brainlist :) <3
Answer:
∠ 4 = 130°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 4 is an exterior angle of the triangle , so
∠ 4 = ∠ 1 + ∠ 2 ( substitute values )
11x + 9 = 6x + 6 + 4x + 14 , that is
11x + 9 = 10x + 20 ( subtract 10x from both sides )
x + 9 = 20 ( subtract 9 from both sides )
x = 11
Then
∠ 4 = 11x + 9 = 11(11) + 9 = 121 + 9 = 130°
your friend may have only calculated ∠ 1
∠ 1 = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°
Complete the inequality showing the twoconsecutive integers between which 125‾‾‾‾√ lies. Enter your answers in the boxes. <125‾‾‾‾√
Answer:
11 and 12
Step-by-step explanation:
If you mean between which consecutive integers does [tex]\sqrt{125}[/tex] lie....
Find the square numbers either side of 125: 121 and 144.
Therefore, the consecutive integers between which [tex]\sqrt{125}[/tex] lies are:
√121 and √144 ⇒ 11 and 12
If a 4-gallon punch recipe calls for 6 1/8 cups of sugar, about how many cups of sugar are needed for 1 gallon of punch? About _____ cups of sugar.
Answer:
approximately 1 1/2 cups of sugar
Step-by-step explanation:
6 1/2 divided by the 4 gallons is the easiest way to get your answer
List a typical value for each distribution. Explain how you found the answer.
Answer:
I believe the answer is IQR
Step-by-step explanation:
gordon bought a bag that was a mix of apples and oranges in a ratio of 5:4 there were 27 fruits in all how many fruits were in the bag please show work
Answer:
apples= 15
oranges = 12
Step-by-step explanation:
5+4=9
27/9=3
therefore
apples=3*5=15
oranges=4*3=12
what is the bottom answers?
Find the value of x.
Answer:
x = 7
Step-by-step explanation:
The dashes on the lines show they are equal in length.
Therefore, by inspection of the diagram, we can see that the measures of the sides of the smaller triangle (with base 5x) are half the measures of the sides of the larger triangle (with base 70).
Therefore, creating an equation with this information:
5x = 1/2 x 70
⇒ 5x = 35
⇒ x = 7
Solution:
Note that:
2(Perimeter of smaller triangle) = Perimeter of larger triangle.This means that...
2(5x) = 70Simplify the equation and solve for x.
2(5x) = 70=> 10x = 70=> 10x/10 = 70/10=> x = 7The value of x is 7.
Which relation is not a function?
1
2
-8
A
→B B
DOC
2
4
-10
3
EC
6
12
(1)
(3)
A
4
6
10
B
H
F
3
8
412
с
(2)
(4)
What is the best approximation for the area of this circle? Use 3. 14 to approximate pi. 18. 8 ft² 37. 7 ft² 75. 4 ft² 113. 0 ft².
The best approximation for the area of the circle which has the 6 cm long radius is 113 ft². Option 4 is correct.
What is the area of the circle?The area of the circle is the space occupied by that circle in 2 dimensional plane or space. It can be given as,
[tex]A=\pi r^2[/tex]
Here, (r) is the radius of the circle.
The image of the circle is attached below. In the given figure the center of the circle is O and the radius of the circle is 6 cm.
Thus the area of this circle can be find out using the above formula as,
[tex]A=\pi (6)^2\\A=3.14\times6^2\\A=113.04\\A\approx113\rm ft^2[/tex]
Thus, the best approximation for the area of the circle which has the 6 cm long radius is 113 ft². Option 4 is correct.
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A statistician wants to determine the relationship between typing speed, in words per minute, and the time, in minutes, it takes to type one page of a specific book. Twenty-five trials are completed and the correlation coefficient between typing speed and time is determined to be -0.622. Therefore, slower typing speed was related to greater time. How is the correlation affected if the units for time are changed from minutes to seconds
The way that the correlation will be affected if the units are changed from minutes to seconds is that the correlation will still be the same.
What is correlation?Correlation simply means a statistical measure which expresses the extent to which two variables are linearly related.
From the information, it was stated that twenty-five trials are completed and the correlation coefficient between typing speed and time is determined to be -0.622.
In this case, even when the units for time are changed from minutes to seconds, the correlation won't change. This is because the change in units has no effect on the correlation.
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Answer:
The correlation would stay the same because the change in units for time would have no effect on it.
Step-by-step explanation:
Find the coordinates of the y-intercept and x-intercepts of the following. (image!)
Answer:
Step-by-step explanation:
We can do this a couple of ways. We can graph it -- see below. Or we can do the math.
Math
y = x^2 - 2x - 15
This trinomial factors into
y = (x - 5)(x + 3)
from which
x - 5= 0
x = 5
and
x + 3 = 0
x = - 3
The y intercept is the value obtained when all the xs on the right = 0
y = 0^2 - 2*0 - 15
y = - 15
Answer
x intercepts: (-3,0),(5,0)y intercept: (0,-15)The graph is below.
help me I don't understand this question
Answer:
I see that you have two of your answers correct but I think your second one would be...
A rectangular prism has a length of 2 1/2 meters, a width of 4 meters, and a height of 2 1/2 meters. What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal. -Please help me I rewatched the class like 8 times I don't understand usually I am good at this stuff! If someone could explain that would be awesome!
Answer:
Given:-
length=[tex]\displaystyle{2\frac{1}{2} }[/tex]meterswidth=4metersheight=[tex]\displaystyle{2\frac{1}{4} }[/tex] metersVolume=lwh
[tex] = \displaystyle{2 \frac{1}{2}m \times 4 m \times 2 \frac{1}{4} m}[/tex]
[tex]= \displaystyle{ \frac{5}{2}m \times 4m \times \frac{9}{4} m }[/tex]
[tex] = \displaystyle{ } \frac{180 }{8} {m}^{3} [/tex]
[tex]= \displaystyle{ 22 \frac{4}{8} {m}^{3} }[/tex]
50 points!!
Match the corresponding function formula with each function when h(x) = 3x + 2 and g(x) = 2^x.
1. K(x) = (3x)2 -x + 2 -x + 1
k(x) = g(x) ∘ h(x)
2. K(x) = 2 ^3x + 2
k(x) = g(x) × h(x)
3. K(x) = 2^x - 3x - 2
k(x) = h(x) ÷ g(x))
4. K(x) = 3(2 x) + 2
k(x) = h(x) ∘ g(x)
5. K(x) = 2^x + 3x + 2
k(x) = g(x) - h(x)
6. K(x) = 2^x(3x + 2)
k(x) = g(x) + h(x)
1. K(x) = (3x)2 -x + 2 -x + 1
k(x) = g(x) ∘ h(x)
2. K(x) = 2 ^3x + 2
k(x) = g(x) × h(x)
3. K(x) = 2^x - 3x - 2
k(x) = h(x) ÷ g(x))
4. K(x) = 3(2 x) + 2
k(x) = h(x) ∘ g(x)
5. K(x) = 2^x + 3x + 2
k(x) = g(x) - h(x)
6. K(x) = 2^x(3x + 2)
k(x) = g(x) + h(x)
PLEASE PLEASE HELP
I PUT A PHOTO
Awnser: I don't think you can try asking a parent or teahcer
Step-by-step explanation:
Solve for x. Round your answer to the nearest tenth.
25
X
16
22
Answer:
10.72
Step-by-step explanation:
a²+b²=c²
->
25²-16²= y²
625-256=y²
V369=y
y≈ 19.21
x²= 22²-y²
x²= 484-369
x= V115
x≈ 10.72
By using Pythagoras theorem the value of x is, 10.7 units
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The figure is shown.
Let the unknown side = y
Now, For upper triangle, we can use Pythagoras theorem as;
⇒ 25² = y² + 16²
⇒ 625 = y² + 256
⇒ y² = 369
⇒ y = √369
⇒ y = 19.2
Hence, The value of x is find as by using Pythagoras theorem as;
⇒ 19.2² + x² = 22²
⇒ 368.6 + x² = 484
⇒ x² = 484 - 368.6
⇒ x² = 115.4
⇒ x = √115.4
⇒ x = 10.7 units
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I do not know the answer for this, what is the answer?
Answer:
B. translation, then reflection.
Step-by-step explanation:
translation means moving the shape without flipping or rotating it.
reflection means flipping it like in a mirror
If a gallon of gas costs
382
9
10
cents, how much does
1
3
gallon cost?
Answer:
the answer should be 49,773.3 $
Step-by-step explanation:
Cost of a gallon of gas=3829.10 $
Cost of 13 gallons =?
Cost of 13 gallons of gas ⛽=3829.10$ * 13
=49773.3 $
THEREFORE:The cost of 13 gallons of gas is= 49773.3 $
thank you
Judith built a fence to surround her property on a coordinate plane, the four corners of the fence are located at (-16,1), (-6,5), (4,1) and (-6,-3), which of the following most accurately describes the shape of the Judith's fence?
Answer:
i would say a rhombus because i drew it on a coordinate plae and thats wut it looked like
Step-by-step explanation:
Answer: b because if she is building a fence it will be a rectangle type of shape
Step-by-step explanation: (-16,1),(-6,5),(4,1), and (-6,3)
Kindly give answer with step by step solution
Answer:
C. 11/20
Step-by-step explanation:
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PLEASE HELP WITH THISSS!!!
5b+3+9c
5c, 3, 1, or 9
whats the answer?
Answer:
for better help with this question what exactly are we trying to find?
The answer choices are 89, 91, 92 and 94
Answer:
94
Step-by-step explanation:
first solve for x:
3x+22+3x+14= 180
6x+36= 180
6x= 144
x= 24
next fill the equation for angle 4 back in with x and solve:
3(24)+22= 94
easy question, please help
Step-by-step explanation:
All you need to do is divide cost by mile since they already factored in the additional $3 for you.
1. 8/5 = $1.60
2. 11/8 = $1.375 = $1.38
3. 23/20 = $1.15
find the average 17 18 16 17 18 19 17 16 17
Answer:
17
Step-by-step explanation:
16,16,17,17,17,17,18,18,19
You first have to arrange the numbers if it's even, divide by two and if it's odd and the answer is always a whole number.
Pleaseeee need help with this asappp
Here , we are given with a circle on cartesian plane , and we need to find the equation of the circle , We are also given that it's centre is at (5,-6) { From graph } and it's radius is 3 units . Now , as we know, the standard equation of a circle is [tex]{\bf (x-h)^{2}+(y-k)^{2}=r^{2}}[/tex] where (h,k) is the centre of the circle and radius is r . Now , our equation will be ;
[tex]{:\implies \quad \sf (x-5)^{2}+\{y-(-6)\}^{2}=3^{2}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{(x-5)^{2}+(y+6)^{2}=9}}}[/tex]
This is the required equation of Circle
Or if you want to proceed it further , then you will get x² + y² - 10x + 12y + 50 = 0
