A bond has a $1,000 par value, nine years to maturity, and pays a coupon of 5.25% per year, semiannually. The bond is callable in three years at 115% of its par value. If the bond’s yield to maturity is 5.32% per year, what is its yield to call?
Please show work. Or explain how to get answer through the calculator.
A) 9.08%
B) 9.24%
C) 9.86%
D) 9.62%
E) 8.96%
Answer:
C) 9.86%
Step-by-step explanation:
Given that:
Par value of the bond = $1000
Coupon rate = 5.25%
Years of maturity = 9
years to call = 3
price to call = 115% * 1000 = 1150
YTM of the bond = 0.0532
Using Excel formula:
The current price of the bond = P-V(0.0532/2, 9*2, 0.0525*1000/2, 1000)
= $995.04
The yield to call = 2 * RATE( 3*2, 0.0525*1000/2, 995.04, 1150)
The yield to calll = 9.86%
On a circle graph, a section that represents 80% of the graph has a central angle measure of 288º.
True
False
6. Which of the following is equivalent to (17m + 3) + (3m - 1)?
A. 14m + 2
B. 14m + 4
C. 20m + 2
D. 20m +4
Answer:
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
C
Maya says there are 4 hundreds in 5,467. Jenny says there are 54 hundreds in 5,467 they're both right.
Answer:
Both are right
Step-by-step explanation:
As maya say 4 hundreds in 5,467
this is right because the place value of 4 in 5467 is 4 hundreds = 400.
but Jenny says 54 hundreds in 5,467
this also correct because number 5467 in word is five thousand four hundred and sixty seven
54 hundreds = 54 × 100 = 5400
as here place value of 5 is 5000 and place value of 4 is 400
so, Addition of both gives = 5000 + 400 = 5400
If we divide 5400 by 100, we would have 54
It shows that there are 54 hundreds
so, Both are right
a store receives 8 boxes of Picture frames to sell. Unfortunately, 3 of the frames are broken and cannot be sold. There are 45 left that can be sold. The Store manager wants to know how many frames are in each box
Answer:
6
Step-by-step explanation:
45/8=5.62
round it to 6
There are 6 frames in each box.
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that a store receives 8 boxes of Picture frames to sell. Unfortunately, 3 of the frames are broken and cannot be sold. There are 45 left that can be sold.
Assume that the number of frames in each box are [x]. Then, we can write -
8x = 45 + 3
8x = 48
x = 6
Therefore, there are 6 frames in each box.
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how do I decease 7 by 3%
Answer:
6.79
Step-by-step explanation:
First of all, you will have to know how much is 3% of 7 in order to decrease it by that amount.
7 x 0.03 = 0.21
Now that you know the amount, you can subtract it from seven and therefore you have decreased 7 by 3%.
7 - 0.21 = 6.79
Answer:
Percentage decrease = 7 × 3%
7 - Percentage decrease = 7-(3% x 7)= 7 - 3% x 7=7 x (1 - 3%)= (100% - 3%) × 7 = 97% x 7 = 679%
pleaseee help find for b
Answer:
[tex] \frac{8}{7} = \frac{b}{b - 10} \\ 7b = 8b - 80 \\ - b = - 80 \\ b = 80[/tex]
A Arrange the following integers in ascending order
1) 37, 41, 76, -2.25 -25
Answer:
ASCENDING ORDER
76,41,36,25,-2,-25
Answer:
1234567891011121314151617181920
Answer this, please! Anybody
Answer:
1/4 and 1/8 which shold multiply
Step-by-step explanation:
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
PLZ answer fast its an emergancy
Answer:
5/11*5/11=25/121
Step-by-step explanation:
There are 6+5 marbles.
Of those, 5 are red.
The chances of drawing a red marble are 5/11
Since you replace the marble you drew, the chances each draw remain 5/11
You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11. The odds of that also being red are 5/11… but we only care about that 5/11ths the time
Please help with this
9514 1404 393
Answer:
153 square units
Step-by-step explanation:
The figure is drawn in the attachment with some lengths and points labeled.
The figure can be considered to have an area that is the sum of the areas of rectangle ABFE and triangle FGH, with the area of triangle BCD subtracted.
That area is ...
A = area(ABFE) +area(FGH) -area(BCD)
= (15)(9) +(1/2)(9)(6) -(1/2)(6)(3)
= 135 +27 -9 = 153 . . . square units
20.) Using the cross multiplication method, which of the following is the solution to 18/6x = 4/(x+3)?
a)9
b)-9
c)12
d)-12
Answer:
B. 9
Step-by-step explanation:
Z = 2x - y
maximum
minimum
AY
(7,9)
(2,6
S
(2, 2)
(10.1)
My dog is licking my toes ಥ_ಥ
17) A baseball coach records the height at every second of a ball thrown in the air. Some of the data points
appear in the table below: Which equation is a quadratic model for the data?
Time (s)
0
1
3
Height (ft)
0
64
96
A) h = -16t? + 80t
B)h = -48t2 + 112t
C) h = -32t2 + 80t
D) = -16t2 + 640
Answer:
be smarter
Step-by-step explanation:
In the diagram, each shape has a value and the sums of the shapes in each of the first three rows is given. Find the sum of the shapes in the fourth row.
Answer:
26
Step-by-step explanation:
2 squares + 3 circles = 31. So, the sum of the squares is divisible by two, and the sum of the circles is divisible by 3. Then, I used trial and error to figure out that the square's value is five, and the circle's value is seven. 5 + 7 + 7 = 19. 27 - 19 = 8. The triangle's value is eight. 5 + 7 + 12 = 24. It works. 15 + 7 + 4 = 26
Answer:
26
Step-by-step explanation:
i did it i got it correct!!!
20 is 80% of what number?
Answer:
25 is answer.
80% of x=20
x=20×100/80=25
HELP! WILL GIVE BRANLIEST!
Answer:
0
Step-by-step explanation:
There is no slope, but a no slope line is vertical. Therefore making this a zero slope. I hope this helps :)
Answer:
No slope
Step-by-step explanation:
there is no slope because its a flat line, a slope would be an uneven line, or a diagonal
Which ordered pair is a solution of the inequality y<3x+1?
A) (-3,-2)
B) (3,14)
C) (1,-3)
D) (1,6)
Answer:
c) (1,-3)
Step-by-step explanation:
-3<3(1)+1
-3<3+1
-3<4
4x+3y=2
2x+y=6
substitution
Answer:
(8,-10)
Step-by-step explanation:
4x+3y=2
2x+y=6--->y=-2x+6
4x+3(-2x+6)=2
4x-6x+18=2
-2x=-16
x=8
4(8)+3y=2
32+3y=2
3y=-30
y=-10
Answer:
x=8 y=-26/3
Step-by-step explanation:
2x+y=6
2x=6-y
2x-6=-y
-2x+6=y
4x+3(-2x+6)=2
4x-6x+18=2
4x-6x+16=0
-2x+16=0
-2(x-8)=0
x-8=0
x=8
4(8)+3y=6
32+3y=6
26+3y=0
3y=-26
y=-26/3
Find the number that makes the ratio equivalent to 11:1.
?:4
Answer:
The unknown is 44
Step-by-step explanation:
We need to solve for x in the proportion given by :
11 / 1 = x / 4
multiply both sides by 4 to isolate x
11 * 4 / 1 = x
x = 44
HELP ME PLZ SURFACE AREA OF A RAMP
Answer:
i think it 37 square feet
Which expression is equivalent to 15x + 3?
A. 15(1x + 1)
B. 5(3x + 1)
C. 3(5x + 1)
D. 2(15x + 3)
Answer:
C
Step-by-step explanation:
3(5x + 1) | Given
15x + 3 | Multiply each term on the inside by the number on the outside of the parenthesis (3). This is called distributing.
how many different ways could first, second, and third place finishers occur in a race with six runners competing?
Answer:
720
Step-by-step explanation:
This is a permutation since the order at which the people are picked matter due to the fact that it is a race. Using the permutation formula
P= n!/ (n-r)! you can find the different ways the race would end. n stands for the total number of objects in the set while r stands for the number of objects chosen from said set. Then you plug in the numbers in the formula: P= 10!/(10-3)!= 720
y2-4y+4/(2-6y) x (2y+4)/(3y2-12)
Answer:
what is the question? please ask a question.
A jar with 13 marbles, 2 are red, 1 green, the rest blue.
P(blue) =
Camila drew a triangle with a side that is 24
inches long and a side that is 18 inches long.
Which of the following could be the length of the
third side of the triangle that Camila drew? Select
THREE that apply.
42 inches
40 inches
18 inches
7 inches
6 inches
5 inches
Answer:
Step-by-step explanation:
It’s going to be 42 inches and 40 inches because we are simplifying
The solution is, 40 inches ,or, 7 inches ,or, 18 inches, could be the length of the third side of the triangle that Camila drew.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Here, we have,
given that,
Camila drew a triangle with a side that is 24 inches long
and a side that is 18 inches long.
we know, that,
sum of length of two sides > third side,
so, the possible lengths are,
40 inches , 7 inches , 18 inches
Hence, The solution is, 40 inches ,or, 7 inches ,or, 18 inches, could be the length of the third side of the triangle that Camila drew.
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3. Part way through his party, Patrick found that there was 5 2/3 pizzas left. If his friends eat 3/4 of the pizzas, how much of the 5 will they eat? Write and solve an equation that will help you figure out how much of the remaining pizzas will be eaten. Explain the steps you took to solve the problem.
Answer:
4 1/4
Step-by-step explanation:
Convert 5 2/3 to an improper fraction. 3 x 5 = 15 + 2=17
17/3 x 3/4 = 51/12= 4 1/4 of the remaining pizza will be eaten
Answer: 4 1/4
Step-by-step explanation:
3x + y= 8
X-3y = 11 X 3
Simultaneous equation
6. A basketball team averaged 105 points per
game. How many points did the team score
ed
Bernd Melman Alamy
in 6 games?
can someone help me solve these two problems? i need to find what x is.
Answer:
1. x=2
2. x= 0.33
Step-by-step explanation:
1.So to start off you have a coefficient for 2 so you have to find what 2 to the power of 2 is =4 so then you have your new problem 4x+5=13 next you need to get 4x by itself so
-5 -5
then you have 4x=8. you divide by 4 on both sides
4. 4
so then you get x=2
2.So same here find what 3 to the power of 2 is =9
New equation 4x-1=9x+4x-4. Then combine like terms on the right you cant do it on the left because that is a separate part and those dont merge like terms so
9x+4x = 13x
new equation. 4x-1=13x-4
next subtract 4x on both sides
13x-4x=9x
new equation. -1=9x-4
next add 4 to both sides
-1+4= 3
new equation. 3=9x
so then divide 9 on both sides
3÷9= 0.33
x= 0.33
Hope this made sense and helps