Answer:
Bond Price= $1,070.24
Step-by-step explanation:
Giving the following information:
Cupon= $80
Number of periods= 10 years
Face value= $1,000
Interest rate= 7%
To calculate the price of the bond, we need to use the following formula:
Bond Price= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]
Bond Price= 80*{[1 - (1.07^-10)] / 0.07} + [1,000 / (1.07^10)]
Bond Price= 561.89 + 508.35
Bond Price= $1,070.24
I neeeeeed help please
Answer:
(3x+21)(x-5)
Step-by-step explanation:
To solve this let's create an equation that has intercepts at -7 and 5
To do this we get the following
(x+7)(x-5)
Now we need to make sure that the line passes through (4,-33) To do so we will plug in 4 to see how far off we are
If you plug in 4 into x you should get -11
To make y= -33 we simply need to put a three in the front and then distribute it to the first bracket
So we have
3(x+7)(x-5)
then distribute the 3 to get
(3x+21)(x-5)
I doubled checked this answer on desmos and my math is correct
DESPRATE WILL GIVE BRAINLIST AND THANKS
To which set of numbers does −1.2 belong?
integers
whole numbers
natural numbers
rational numbers
find the length of the missing side. write your answer in simplest radical form!
Answer:
D
Step-by-step explanation:
10² + 14² = -17.20²
-17.20² = 2sqrt74
Answer:
C 296 ft
Step-by-step explanation:
hypotenuse^2 = side1^2 + side2^2
==> hypotenuse^2 = 10^2 + 14^2
==> hypotenuse^2 = 100 + 196
==> hypotenuse^2 = 296
==> hypotenuse = square root (296)
==> hypotenuse = 17.2046505
The length of the missing side = 296 in radical form
I NEED THIS ASAP PLSS
Answer:
2 1/2
Step-by-step explanation:
Answer:
2 1/2
Step-by-step explanation:
Since P is at -4 and you want a number that is 6 1/2 units away from it. You are either adding 6 1/2 to it or subtracting 6 1/2 to that number.
-4 + 6 1/2 = 2 1/2
-4 - 6 1/2 = -10 1/2
Also if you count 6 and 1/2 notches in either directions from -4, you will also get both of those answers.
The multiple choice only gives you the 2 1/2 option so that is the one they are looking for.
The above problem has completed the first step, distributing both sides of the equation.
Finish the problem and determine the value of x.
Find the next three terms of the following arithmetic sequence. -10, -3, 4, 11, (Three missing numbers)
Answer:
You can find the difference of two numbers easier if you take the absolute value of them (which is canseling out the negative or positive of them, and figuring out how far away from 0 they are) |-10| = 10, |-3| = 3, the difference between 10 and 3 is 7. The only problem that arises is now we are dealing with and negative and a positive, for this one you must see that to get from -3 to zero, you need to add 3, and to get from 0 to 4, you need to add 4, if you add 3, and then 4, you get 7
The difference between 10 and 3 is 7
The difference between -3 and 4 is 7
So naturally, the next number will be 4 + 7 = 11
Hope that helped!
cups of water fill 4 identical water bottles. How many cups fill each bottle?
Answer:
.8 or 4/5ths cup
Step-by-step explanation:
divide number of bottles by cups
4 1/2 is 4.5
5 5/8 is 5.625
4.5/5.625 = .8 (or 4/5ths)
A cylinder has a diameter of 20cm.
The height of the cylinder is 3/5 the length of the diameter.
Calculate the volume of the cylinder in terms of π
Answer:
V = 1200π
Step-by-step explanation:
Volume of a cylinder formula:
V = πr²hLet's find the height of the cylinder by multiplying 20 cm by 3/5.
20 * 3/5 = 60/5 = 12 cmThe radius is 1/2 of the diameter, so:
20 * 1/2 = 20/2 = 10 cmSubstitute 12 for h and 10 for r into the volume formula.
V = π(10)²(12)Simplify.
V = π * 100(12) V = π * 1200The volume of a cylinder, in terms of π, is V = 1200π.
ASAP!! plzz help! thanks
help ????!!!! pls!!!
Answer:
You can use y − y1 = m(x − x1) and get 2-y= 1/6(9-3) so y = 1
Step-by-step explanation:
Imagine your family agreed to give you some pocket money every day for a month! How do you want to get paid? Pick one from the following options and post your choice in the discussion board. Make sure you state why you chose your option.
Option 1: $10.00 every day
Option 2: $3.00 on the first day, $3.50 on the second, $4.00 on the third, and so on, increasing by $0.50 per day.
Option 3: $0.01 on the first day, $0.02 on the second, $0.04 on the third, and so on, doubling each day.
option 2 or three cuz one is too simple
Answer:
Option 1 because it will be easier to keep up with since you'e getting the same amount every day.
Step-by-step explanation:
Find the y value for the point that divides the line segment XY into a ratio of 1:2. Segment XY is shown. X is at -6, -1 and Y is at 5, 1.
A. −0.3
B. 6.2
C.3
D. 2.8
I believe its -0.3, but I'm not completely sure.
Answer:
-0.3
Step-by-step explanation:
I think it is -0.3 because the other ones wouldn't make any sense if you put in on the number line but I'll come back when I finish the test to tell you if its right :)
Edit** It is correct I just took the test :)
For the point that divides the line segment XY into a ratio of 1:2,
Y value is -0.3.
Option A is correct
What is section formula?In coordinate geometry, Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. It is used to find out the centroid, incenter and ex-centers of a triangle.
Given point
X = ([tex]x_{1},y_{1}[/tex]) = (-6,-1)
Y = ([tex]x_{2} ,y_{2}[/tex]) = (5,1)
Ratio = 1:2
For point (x1, y1) and (x2, y2) on coordinate plane if is divided in ratio of m:n.
Then section formula is given by [tex](\frac{mx_{2}+nx_{1} }{m+n},\frac{my_{2}+ny_{1} }{m+n})[/tex].
Using the section formula,
[tex](\frac{mx_{2}+nx_{1} }{m+n},\frac{my_{2}+ny_{1} }{m+n})[/tex]
= [tex](\frac{(1)(5)+2(-6)}{1+2} , \frac{1(1)+2(-1)}{1+2})[/tex]
= [tex](\frac{5-12}{3} ,\frac{1-2}{3})[/tex]
= [tex](\frac{-7}{3} ,\frac{-1}{3})[/tex]
x = -2.3 and y = -0.3
For the point that divides the line segment XY into a ratio of 1:2,
y value is -0.3.
Option A is correct
Find out more information about section formula here
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Marcos is flying a kite 35 feet above an oak tree. The angle of elevation to the top of the tree is 16 degrees and the angle of elevation to the kite is 25 degrees. What id the distance, b, to the nearest foot marcos is standing from the tree?
9514 1404 393
Answer:
195 ft
Step-by-step explanation:
The relationship between the horizontal distance, angle, and vertical height is given by ...
Tan = Opposite/Adjacent
Referring to the attached diagram, we have ...
tan(16°) = BT/MB
tan(25°) = BK/MB
Solving for BT and BK, we can describe their difference as ...
BT = MB·tan(16°)
BK = MB·tan(25°)
BK -BT = 35 = MB(tan(25°) -tan(16°))
Dividing by the coefficient of MB gives ...
MB = 35/(tan(25°) -tan(16°)) = 35/0.179562
MB = 195 . . . feet
Marcos is standing 195 feet from the base of the tree.
solve for -5x < 2 step by step
Answer:
x > -2/5
Step-by-step explanation:
To solve this, you need to divide -5 on both sides to isolate x.
-5x < 2
x > -2/5
Because we divided by a negative number, the sign has to change direction.
How many inches are in a hundred and forty seven miles?
Answer:
There are 9,313,920 inches in 147 miles
Step-by-step explanation:
Answer:imagine googling the answer U-U couldnt be me, i dont even have an answer
Step-by-step explanation:
im dum :)
( im just gonna give myself a 5 star rating cuz im cool like that >:P
A little girl is looking to select one crayon and one coloring book to do some drawing. She has 6 different colored crayons and 3 coloring books. How many different combinations of crayons and coloring books can she make if she selects one crayon and one coloring book to use?
Which of the following graphs represents a function? If you don’t know then please don’t write “i don’t know” or “I can’t help with that” Just for points.
Answer:
B. x
Step-by-step explanation:
The answer would be graph x. A function must be that one x value should only have one y value. graph w doesn't work since when you plug in 0, you get two y's. same thing with z. Y doesn't work since at x value of 3, it curves back so x value 2 has 2 y's. X is the only one that each x value has only one y.
Answer:
X
Step-by-step explanation:
For a relationship to be a function, every input has exactly one output, so for every x value there is only one value.
If you look at answer's w and z for x=1 there is two y values, therefore they are not functions, letter Y is tricky. Even though every x value has only one y value, If you were to extend the graph x=0 would have more than one y values.
That leaves X. If you extend the graph of X every x value will only have one y value so it is a function
What number is half way between 60 and 110
Answer:
85
Step-by-step explanation:
85 is half way between 60 and 110.
Half way means the middle point from where both the point are at equal distance.
Given two numbers as follows:
Number1=60
Number2=110
To calculate a half way number between two number as follows:
=(Number1+Number2)/2
=(60+110)/2
=85
To check weater 85 is half way between 60 and 110
subtract 60 from 85 we get 25
subtract 85 from 110 we get 25
Thus both the numbers are 25 units away from 85.
So, 85 is half way between 60 and 110.
Learn more about half way, here:
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HELP!!!!!!
i’m uneducated and i don’t know how to do this:(
i’ll give a brainist to that correct response:)
Answer: Xy=7
Step-by-step explanation: so if xz is the median it hits in the middle of WY and since the legnth of WY is given the length of xy is 7
Can someone help (8 grade math)
Answer:
Lateral surface area is the area of the sides, not including the base and top area, while total surface area is the entire surface area (including sides, base, and top).
which letter has rotational symmetry?
A. Y
B. X
C. B
D. M
Answer: X
Step-by-step explanation: IF YOU ROTATE IT IT STAYS THE SAME SHAPE
Answer:
X
Step-by-step explanation:
HELP FAST i have a lot to do and its all due on the 14 so pls help
3(3+4) blank 3³
What is the solution set for 6x−9=15, given the replacement set {0, 1, 2, 3, 4}?
What is the solution set for 6x−2=5x+3, given the replacement set {2, 3, 4, 5}?
What is the solution to this equation?
6+7(b−1)=5+b
Answer: 1. X=4
2. X=12
3. X=5
4. B=1
Step-by-step explanation:
A group of friends is going to a baseball game. A general admission ticket to the game costs $9.00. A ticket for a fan club member costs $6.00. The expression 9x + 6y models the cost for the entire group of friends. Which is the meaning of the term, 9x?
Answer:
See explanation!
Step-by-step explanation:
The term 9x is comprised of two values: 9 and x. The 9 represents the cost of the general admission tickets. Since the expression is representing the total cost for the group of friends, the number of friends attending must be represented somehow in the equation. Since the $9 is paired with the x, this means that x represents how many of the friends are paying the general admission price. After interpreting both values within the term, the meaning of the term 9x is simply just the total cost of the friends that are paying the general admission price! Hope this helps!
on a graph there are two points (0,3) and (8,0) what is the proper equation
Answer:
The line equation of the line is:
[tex]y=-\frac{3}{8}x+3[/tex]Step-by-step explanation:
Given the two points
(0,3)(8,0)Finding the slope between (0,3) and (8,0)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:0\right)[/tex]
[tex]m=\frac{0-3}{8-0}[/tex]
[tex]m=-\frac{3}{8}[/tex]
Therefore, the slope of the line: m = -3/8
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = -3/8 and the point (0,3)
[tex]y-3=-\frac{3}{8}\left(x-0\right)[/tex]
[tex]y-3=-\frac{3}{8}x[/tex]
Add 3 to both sides
[tex]y-3+3=-\frac{3}{8}x+3[/tex]
Simplify
[tex]y=-\frac{3}{8}x+3[/tex]
Therefore, the line equation of the line is:
[tex]y=-\frac{3}{8}x+3[/tex]Which of the following best describes the slope of the line below?
Answer:
c.positive
Step-by-step explanation:
What does the formula of an ionic compound tell you?
I need help with homework
Answer:
C
Step-by-step explanation:
Point C is on the x-axis.
Answer:
c
Step-by-step explanation:
the x axis is labeled
x axis is always horizontal (think the horizon)
y axis is always vertical
In which of the following sets can each
number only be classified as rational?
A {0, - 18 , 124, -3, 3)
B {3.5, -4, 23.8, -1.2, 0}
C {-5, 13, 233, 42,3)
D {-7.75, -5.8, 0.125, 4, 21}
Use the given information to determine if TU ||QS.
Answer with a simple yes or no.
Answer:
I would pick no, because when u do the math
Find mBDC. Need help
Answer:
577
Step-by-step explanation:
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