Reason corp just issued a series of 24 year maturity bonds with a oar value of 1000 and a 5 % coupon, paid semianually the bonds can sell in the open market for 1175. Flotation costs on the new bonds
Answer:
the rate is 4.36%
Step-by-step explanation:
The computation of the pre tax cost of debt is shown below:
Given that
NPER = 24 × 2 = 48
FV = $1,000
PMT = $1,000 ×5% ÷ 2 = $25
FV = $1,175 - $80
= $1,095
The formula is shown below:
= RATE(NPER;PMT;-PV;FV;TYP
After applying the above formula, the rate is 4.36%
Miss Johnson bought a roast that weighed 6lb. 4oz. What was the total cost of the roast if the cost per pound was $4.48.
Answer:
26.88$
Hope this helps :))
A piston rises to 5 cm and falls to 3 cm in such a way that it returns to the maximal height three times every two seconds. If we start observing the piston at its maximal height, find an equation modelling the height, h, t seconds from the initial observation.
Answer:
(1 cm)cos3πt
Step-by-step explanation:
Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft
where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.
Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations = 2 s
So, f = 3/2 s =1.5 /s = 1.5 Hz
Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm
h = Acos2πft
= (1 cm)cos2π(1.5Hz)t
= (1 cm)cos3πt
Find the volume of the figure below. Leave your answer in terms of π.
Answer: 1539π cubic inches.
Step-by-step explanation:
In the figure, we have a hemisphere joined with a cylinder of the same diameter 18 inches.
Radius = 9 inches (half of diamter)
Volume of hemisphere = [tex]\dfrac23 \pi r^3[/tex]
Volume of cylinder = [tex]\pi r^2 h[/tex], where r= radius h= height
Volume of hemisphere= [tex]\dfrac{2}{3}\pi (9)^3=486\pi in.^3[/tex]
Volume of cylinder = [tex]\pi (9)^2 (13)=1053\pi\ in.^3[/tex]
Combined volume = 486π+1053π=1539π cubic inches.
Hence, the volume of the solid = 1539π cubic inches.
Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10
How much does a liter of milk cost, and how much does a loaf of bread cost?
Answer:
Milk costs 75 cents per litre.
Bread costs $1.75 per loaf.
Step-by-step explanation:
help!! tell whether the triangle is a right triangle- i don’t need an explanation thank you!!
Answer:
1.) Right triangle
2.) Not right triangle
3.) Not right triangle
4.) Not right triangle
5.) Right triangle
6.) Right triangle
Step-by-step explanation:
The ones that are a right triangle have at least one angle that has an L shape
question 8 thank youuu
Step-by-step explanation:
hope this help have a great day
Find the surface area
Answer:
rectangular prism = cuboid
total surface area of a cuboid (tsa) = 2(lb+bh+hl)
l=length = 3cm
b=breadth = 6cm
h=height = 5cm
tsa = 2( 3*6 + 6*5 + 5*3 )
2( 18 + 30 + 15 )
2 * 63
= 126 [tex]cm^{2}[/tex]
hope this answer helps you.....
What is the GCF of:
4n. 16n2, 8n
Answer:
1st expression=4n
2nd expression=16n²=4n×4n
3rd expression=8n=2×4n
so
GCF=4n
Given m||n, find the value of x.
Answer:
The answer would be X=2 .
Step-by-step explanation:
Hope it helps u :)
Geometry pls help me need help
An urn contains 8 green and 9 white balls. Six balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 6 balls drawn from the urn are white? Round your answer to three decimal places.
Answer:
The probability is 0.022
Step-by-step explanation:
Firstly, we need to get the total number of balls in the urn
mathematically, we have this as ;
8 + 9 = 17
now, the probability of selecting a white ball will be the number of white balls divided by the total number of balls
Mathematically, we have this as 9/17
Now, since the event is carried out with replacement, the probability for the six times is the same
So, we have the probability as;
(9/17)^6 = 0.022
math police come my way please?
Blake, Chang, and Grace together sold 71 tickets for the school banquet. Blake sold 27 tickets and Chang sold 28 tickets. How many tickets did Grace sell? (5 points) 16 43 44 55
Answer:
16
Step-by-step explanation:
because to get what you need add 27 and 28 and you get 55 then subtract 71 by 55 to get 16
71-(27+28)
Answer:
Grace sold 16 tickets.
Step-by-step explanation:
We have a total of 71 tickets sold between 3 people. Blake sold 27 tickets and Chang sold 28 tickets. Adding those sold by Blake and those sold by Chang, gives us: 27 + 28 = 55, if that amount is subtracted from the total sales that are 71 tickets, the result would be: 71 - 55 = 16, which would be the tickets sold by Grace.
Which of the following is an algebraic expression that represents the phrase X increased by 20
Answer:
The expression means that X+20
Mrs. Owens borrowed $50,000 to start a business. In the first two months, expenses amounted to $52,500, and sales came to only $2,500. How much money does Mrs. Owens have going into the third month?
Please help me with this question
Answer:
pt A' is (2, 4)
Step-by-step explanation:
solve for x . Leave your answer in the simplest form
Hello!
Here we are given a composite shape, meaning that we can divide this shape up into ways that we are given formulas to solve for legs and such.
I can see here that this can be divided into a triangle and a rectangle using a horizontal line.
The leg lengths of this triangle would be 9, because it is congruent to the bottom side of the rectangle, and 7, because it is the left side minus the right side.
This would also make a right triangle, meaning we could solve for the hypotenuse utilizing the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
[tex]6^2+7^2=c^2[/tex]
[tex]36+49=c^2[/tex]
[tex]c^2=85[/tex]
[tex]c=\sqrt{85}[/tex]
Which is in simplest radical form.
Hope this helps!
A box is to be wrapped in a shiny pink decorative paper. The box is 99 inches long, 55 inches wide, and 44 inches high. What is the minimum amount of decorative paper needed to cover the box?
Answer:
24442 square inches of decorative paper
Step-by-step explanation:
To solve for the above question, we have to find the Surface Area of the box. The box is shaped as a Rectangular Prism.
Hence, the formula is given as:
A = 2(wl + hl+ hw)
Where:
Length (l) = 99 inches
Width (w) = 55 inches
Height (h) = 44 inches
=2 × (55×99 + 44×99 + 44×55)
=24442 square inches
Therefore, the minimum amount of decorative paper needed to cover the box is 24442 square inches of decorative paper.
A polynomal of degree of 2 that has zeros -4 and 2 is
9514 1404 393
Answer:
f(x) = x^2 +2x -8
Step-by-step explanation:
If p and q are zeros of a quadratic, its factored form is ...
f(x) = (x -p)(x -q)
For your zeros, the factored form is ...
f(x) = (x +4)(x -2)
Expanded using the distributive property, this is ...
f(x) = x(x -2) +4(x -2) = x^2 -2x +4x -8
f(x) = x^2 +2x -8
What is the domain of the linear function below?
Y=6x+3
A. All negative numbers
B. All positive numbers
C. Integers only
D. All real numbers
What is another way to describe an event with a probability of 1?
Answer:
Likely to get it.
Step-by-step explanation
Do you mean 1% or 1? If 1 then it is likely to pick that.
If it is 1% then it's the opposite (unlikely) to pick that.
Hopes this makes sense!
Please help I’ll mark brainliest
Answer:
-2-24i
Step-by-step explanation:
vector addition
let x be the value without the vector I
x+7+5=10
x=10-12
x=-2
let y be the value with the vector I
y-3+9+13= -5
y +19= -5
y= -24
HELP! I'm stuck. -.- I keep confusing myself. If you guys answer this can ya'll tell me how to do it correctly. I feel like this might happen again so.
Find the missing angle please help
Answer:
saw this question on egde its b
product of 2 and the difference between 20 and 1 is 14
Answer:? Okkkkk
Step-by-step explanation:
Lol
Please help me no links im timed 1 question HELP ME!!!
Answer:
c. add 5 to each side
Step-by-step explanation:
Answer:
c. add 5 to each side
Step-by-step explanation:
that's the fastest way to get y=20
Someone help me with these two questions. All you need to do is solve for x.
Answer:
1.
X=12
2.
X=19
Step-by-step explanation:
Hope it was helpful
-Moj
+
Find the surface area of this cube. Be sure to include the correct unit in your answer.
3 m
3 m
3 m
answer is b.Step-by-step explanation:
Answer:
9m
Step-by-step explanation:
yw
PLEASE HELP MY MATH GRADE IS LOW AND THIS IS THE ONLY WAY TO GET IT UPPPPP PLEASE I WILL MARK U BRAINLEST PLEASE TRY YOUR BEST THANKSSS SO MUCH
Answer:
I can't see!
Step-by-step explanation: