The price of the perpetuity is $2200
What is price of the perpetuity?The present value of a perpetuity is determined by simply dividing the amount of the regular cash flows by the discount rate. A growing perpetuity includes a growth rate that increases the cash flows received each period going forward.
Given:
coupon=$55
yield to maturity=2.5%
As, we know price of the perpetuity is determined by dividing the coupon by the yield to maturity.
So,
price=coupon/yield to maturity
price=$55/2.5%
price=$2200
Hence, the price of the perpetuity is $2200
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what are the dimensions of a rectangle with an area equal to the parallelogram with the vertices (6,21) (14,15) (6,0) (-2,6)
The dimensions of the rectangle are:
width = 10 units
length = 17 units
What are the Dimensions of the Triangle?
We are given to find the dimensions of a rectangle with an area equal to the parallelogram with vertices (6, 21), (14, 15), (6, 0), and (-2, 6).
If we have two points with coordinates as (a, b) and (c, d) The distance is given by the formula: √[(c - a )² + (d - b)²]
Now, of the coordinates are labelled as;
A(6, 21), B(14, 15), C(-2,6), (6,0)
Thus;
AB = √(14 - 6)² + (15 - 21)² = √100 = 10 = CD
AC = √(-2 - 6)² + (6 - 21)² = 64 + 225 = √289 = 17 = BD
Thus the dimensions of the rectangle are:
AB = 10 = width
AC = 17 = length
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a spinner has 20 equally sized sections, 16 of which are yellow and 4 of which are blue. the spinner spun and at the same time and fair coun is tossed what is the probability that the spinner lands on blue and the coin toss is tails
Answer:
I don't know how it works
Givin that m < QST = 135 solve for x and find each angle
By solving a linear equation we can see that the value of x is 28, and with that, we can see that the measure of the left angle is 85 degrees, and the measure of the right angle is 50 degrees.
How to find the measures of the angles?
We know that the angle at vertex S measures 135°, then we can write the linear equation:
(3x + 1)° + (2x - 6)° = 135°
First, we need to solve this for x.
3x + 1 + 2x - 6 = 135
5x - 5 = 135
5x = 135 + 5 = 140
x = 140/5 = 28
Now that we know the value of x, we can find the two measures, which are:
QSR = (3x +1) = (3*28 + 1)° = 85°
RST = (2x - 6)° = (2*28 - 6)° = 50°
The measure of the left angle is 85 degrees, and the measure of the right angle is 50 degrees.
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A jar has 5 red candies, 4 orange candies, 6 green candies, and 7 blue candies. What is the probability you will randomly pull an orange candy? Find the fraction, decimal, and percentage?
Answer:
2/11, 0.18, 18%
5 + 4 + 6 + 7 = 22
and 4 of those are 4 orange candies
4/22 = 2/11
Triangle ABC lies on the coordinate plane with vertices located at A(7,6), B(-3,5), and
C(-4,9). The triangle is transformed using the rule (x,y) -> (2x.y-3) to create triangle
A'B'C'. Select all possible answers for the vertices of triangle A'B'C'.
a. (14,3)
b. (9,3)
c. (-6,10)
d. (-8,6)
e. (-6,2)
The coordinates of the vertices of the triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6), respectively. (Correct choices: A, E, D)
What are the coordinates of the vertices of a traingle after using transformation rule?
In this question we find the locations of the three vertices of the triangle, each of which has to be transformed by using a non-rigid transformation rule, that is, a transformation rule that does not conserve the original form of the triangle. We are asked to determine the possible coordinates associated with the triangle A'B'C.
If we know that A(x, y) = (7, 6), B(x, y) = (- 3, 5) and C(x, y) = (- 4, 9), then the coordinates of the vertices of the triangle A'B'C' are:
A'(x, y) = (2 · 7, 6 - 3)
A'(x, y) = (14, 3)
B'(x, y) = (2 · (- 3), 5 - 3)
B'(x, y) = (- 6, 2)
C'(x, y) = (2 · (- 4), 9 - 3)
C'(x, y) = (- 8, 6)
The coordinates of the vertices of the triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6), respectively. (Correct choices: A, E, D)
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jackie's hair grows 3/4 in 1 and 1/2. how much hair grows per mouth
The answer is 1/2
The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.
Jackie grow hair in 3/2 month = 3/4
Jackie grow hair in 1 month = 3/4 x 2/ 3
= 1/2
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PLEASE HURRY!!
State the domain and range for the function f(x) = 2x² - 7.
Domain
[tex]-\infty \: < x < \infty[/tex]
Range
[tex]f\left(x\right)\ge \:-7\:[/tex]
As part of maintenance, you need to replace a cross tie for a wooden roller coaster. You have a board that is 2.5 meters long, but a cross tie should be 1.5 meters long. Without a ruler or measuring tape, how would you know where to cut the board so that the cross tie is the correct length?
We an measure by some standard sale like our hands or foots or pinkie fingers or heigth etc.
Your foot: With this one it helps to know your European shoe size: 35 = 9′, 40 = 10″ and 45 = 11″. This is more accurate but more time consuming than using your stride to measure a space, as you must walk toe to the heel of your next foot.
Your height: We have compelled a perfectly 6-foot-tall person to lay on the floor to get a room dimension before, but it’s not necessary to go to that trouble. The distance between your fingertips with your arms stretched to the sides is roughly the same as your height.
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Find the quotient and round the answers to 6 decimal places.
1.
09) 6.815.3
Answer:0.757
Step-by-step explanation:
Find the midpoint of the given line segment with the given endpoints
(-3, 8) and (2, -4)
Answer:i have same question
Step-by-step explanation:
Select the correct answer. What is the solution to this system of equations? 3x+6y−5z=29-9x+y+4z=9-8x+7y+5z=4
y=-20, x=-1, c= -5
SOlution :
three-by-three systems:
In order to solve systems of equations in three variables, known as three-by-three systems, the primary goal is to eliminate one variable at a time to achieve back-substitution. A solution to a system of three equations in three variables x,y,z
is called an ordered triple.
To find a solution, we can perform the following operations:
Interchange the order of any two equations.
Multiply both sides of an equation by a nonzero constant.
Add a nonzero multiple of one equation to another equation.
HOW TO: GIVEN A LINEAR SYSTEM OF THREE EQUATIONS, SOLVE FOR THREE UNKNOWNS.
Pick any pair of equations and solve for one variable.
Pick another pair of equations and solve for the same variable.
You have created a system of two equations in two unknowns. Solve the resulting two-by-two system.
Back-substitute known variables into any one of the original equations and solve for the missing variable.
3x+6y−5z=29...(1)
-9x+y+4z=9...(2)
-8x+7y+5z=4...(3)
Solving 1&2
3x+6(9-4z+9x)-5z=29
3x+54-24z+54x-5z=29
57x+54-29-29z=0
57x+25-29z=0
57x-29z=25...(3)
Solving 2& 3
-8x+7(9-4z+9x) +5z=4
-8z+63-28z+63x+5z=4
55x-23z-59=0 ..(4)
Solving 3 & 4
57x-29z=25...(3)
55x-23z-59=0 ..(4)
(55x29-57x23)x=59x23-25x23
-2906x = 2906
x=-1
putting it on equation 4
55x-23z-59=0 ..(4)
55(-1)-23z-59=0 ..(4)
z= - 5
-9(-1)+y+4(5)=9.
9+y+20=9
y=9-20-9
y=-20
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Answer:
(-4, 1, -7)
Step-by-step explanation:
and got it right on edmentum
Snorkel's age 15 years ago was 22. How old is Snorkel today?
-1+(-3) is blank units from -1 in the blank direction
-1+(-3) is 3 units from -1 in the left direction
-1+(-3) is blank units from -1 in the blank direction
-4 is 3 units from -1 in the left direction
because we know that
in the real line if we go 3 units in left from -1 we get -4
since in the real number line
the pattern is ................ - 5, -4, -3, -2, -1 ,0,1,2,3,4,5,............
thus we get
-1+(-3) is blank units from -1 in the blank direction
-4 is 3 units from -1 in the left direction
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According to the sliding filament model, which of these gets shorter during muscle contraction? (choose all that apply)
The required result of the sliding filament model given below.
What is the sliding filament model?The mechanism by which muscles contract is described by the sliding filament model. Actin and myosin myofilaments move over one another as a result of a cycle of repeated occurrences, constricting the sarcomere and creating tension in the muscle.
The A band is the middle, darkly pigmented area of the sarcomere that runs the entire length of the thick filaments. The portion of the thin filaments that cross over the thick filaments is also included. The I band is formed by the remaining thin filaments within the sarcomere but not by any thick filaments. Each A band has a narrow region in the middle called the H zone, which is made up entirely of dense filaments.
Myosin heads pull the thin filaments in the direction of the M line during muscle contraction. Because of this, the thin filaments glide inward, allowing their ends to overlap and connect at the sarcomere's core. The I band and H zone become smaller as a result.
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What is 2 equivalent expressions for (4^9)^3
Answer:
[tex]4^{27}[/tex] and 18014398509482000
Marcie cooked dinner for herself. The original recipe has a serving size of 3 and requires three and three sevenths pounds of chicken. How many pounds of chicken will be needed for a single serving?
one and one seventh pounds
nine and three sevenths pounds
two over 49 pounds
three sevenths pounds
Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The number of pounds for 3 people is given by:
[tex]3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}[/tex]
Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:
[tex]\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}[/tex]
24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:
one and three seventh pounds.
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Answer:
Step-by-step explanation:
the awnser is cerrot.
What is the value of x in the equation 4x + 8y = 40, when y=0.8
Answer:
when you =0.8=4/5
4x + 8(4/5)=40
4x=40-32/5
4×=(200-32)/5
x=168/20
Step-by-step explanation:
4x+8y=40, when y=0.8
4x+8(0.8)=40
4x+6.4=40
4x=40-6.4
4x=33.6
x=33.6/4
x=8.4
What is the 8-bit binary (two's-complement) representation of signed decimal integers -16?
The representation of did sign decimal integers in 8-bit binary (two's complement) -16 = 11110000.
The correct option is C.
What does an 8-bit number mean?A maximum of 256 values, or 0 through 255, can be represented by 8 bits. The total number of states that may be represented and the number of bits in a binary number are both listed in Table 5.1. G = gigabits; K = kilobits; M = megabits; 1,048,576 = gigabits; 1,0737,41,824 = kilobits.
Why does a byte consist of 8 bits?The most common number of bits in a byte is eight. A byte is a unit of digital information. The byte is indeed the smallest addressable unit of recollection in many computer architectures because historically, a single character of text was encoded in a computer using a byte's worth of bits.
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What is the 8-bit binary (two's-complement) representation of signed decimal integers -16?
A. 11111011
B. 11010110
C. 11110000
D. 10111000
greg is 5yr. older than randy, who is 3yr. older than Wilson. the sum of their ages is 32. how old is greg
The ages of Wilson, Randy and Greg given their total ages is 7, 10 and 15 years respectively.
This means that the total ages of Wilson, Randy and Greg is 7 years, 10 years and 15 years.
AlgebraLet's represent the information above as follows:
Wilson's age = xRandy's age = (x + 3)Greg = (x + 3) + 5Total ages = 32The total ages = Wilson + Randy + Greg
That is, Wilson's age, Randy's age and Greg's ages is given as:
32 = x + (x + 3) + (x + 3) + 5
32 = x + x + 3 + x + 3 + 5
32 = 3x + 11
32 - 11 = 3x
21 = 3x
x = 21/3
x = 7 years
Therefore, from the calculations above,
Wilson's age = x
= 7 years
Randy's age = (x + 3)
= 7 + 3
= 10 years
Greg = (x + 3) + 5
= (10) + 5
= 15 years
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find the cumulative frequency
We get the cumulative frequency as:
3
7
13
22
29
36
37
We are given the data:
Daily Low(°F) Frequency
35 - 39 3
40 - 44 4
45 - 49 6
50 - 54 9
55 - 59 7
60 - 64 7
65 - 69 1
We have to find the cumulative frequency of the data.
We will do this by adding the data values of previous interval.
Daily Low(°F) Frequency cumulative frequency
35 - 39 3 3
40 - 44 4 7
45 - 49 6 13
50 - 54 9 22
55 - 59 7 29
60 - 64 7 36
65 - 69 1 37
Therefore, we get the cumulative frequency as:
3
7
13
22
29
36
37
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HELP me ill give brainlist or whatever its called
Answer:
1 cm
Step-by-step explanation:
you multiply 3 by 1/3 and you get 3/3 which is 1
Box
30 cm
32 cm
15 cm
A wooden box measures 30 cm by 15 cm by 32 cm.
The box has a lid.
Carton
Can James put all 110 cartons in the box and shut the lid?
Show your working clearly.
5 cm
A carton measures 5 cm by 5 cm by 5 cm.
James has 110 cartons.
He wants to put all these cartons in the box and be able to shut the lid.
5 cm
5 cm
D
ac
Which set of ordered pairs does not represent a function?
{(-8,-2), (0, 2), (-6, 2), (-4,-1)}
{(-6,-4), (-9, 0), (5, -7), (-3,-4)}
○ {(1,6), (-3, 6), (6, 3), (0, -4)}
{(6, 7), (-3, 8), (7,-2), (-3,-3)}
What is the value of c?
Enter your answer in the box.
Answer:
26 units
Step-by-step explanation:
By using the Pythagoras Theorem,
C^2 = A^2 + B^2
Substitute in given values for A and B.
C^2 = 10^2 + 24^2
= 100 + 576
= 676
[tex]c = \sqrt{676} \\ = 26[/tex]
Hope this helped! ^^
Sidenote: Pythagoras Theorem can only be used on right-angled triangles.
f(x)=2x^-6 Find f(7)
Answer: 1/58824.5
Step-by-step explanation: 2x7^-6
2x1/117649
=1/58824.5
A repair shop charges $50 per hour. this week it is offering
a $20 discount. the equation c = 50h-20 represents the
total cost, c, of a job taking h hours. what is the total cost
of a job that takes 6 hours?
$280
b $50
$300
$30
The cost of a job that takes 6 hours is $280.
Discount:
Discount, the term referred as the amount or percentage deducted from the normal selling price of something. The discount means a reduction in the price of a good or service.
Given,
A repair shop charges $50 per hour. this week it is offering a $20 discount. And it represents the equation as,
c = 50h-20
Where
c represents the total cost, and
h represents the hours taken.
Here we need to find the total cost of a job that takes 6 hours.
According to the given details we know that the value of h = 6.
Then we need to find the value of c,
So,
=> c = 50(6) - 20
=> c = 300 - 20
=> c = 280
Therefore, the total cost of a job that takes 6 hours is $280.
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find the indicated length.
Point R bisects segment ST. Find RT if ST = 16.9 meters.
RT=
The value of the indicated length RT is 8.45 meters
How to find the indicated length?The given parameters are
Point R bisects segment ST. ST = 16.9 meters.The above means that
RT = 1/2 * ST
So, we have
RT = 1/2 * 16.9
Evaluate the products
RT = 8.45
Hence, the value of the indicated length RT is 8.45 meters
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what is the answer of -6 + (12)
Answer:
6
Step-by-step explanation:
-6 + (12)
○ First you remove the brackets
○ Then you will get -6 + 12
○ Negative Positive (-+) equals Negative
○ You will put will subtract the bigger number by the smaller number
i.e 12-6
○ You will get your answer as 6
Determine the following. Complementary angles
Find the values of a and b.
Answer:
Step-by-step explanation:
7a + 33° = 10a - 12° ( being vertically opposite angle )
33° - 12° = 10a - 7a
21° = 3a
a = 21/3
a = 7°
Now,
6b - 42 = 3b ( vertically opposite angle )
6b - 3b = 42°
3b = 42°
b = 42/3
b = 14
hence , the value of a is 7°and b is 14°...
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