The bond price 101.78
What is the price of a bond?
A bond price is the present value of its future cash flows discounted at the yield to maturity which is the appropriate discount rate.
Specifically, the bond price is the present value of annual coupons for 2 two years and the face value discounted at the 8% yield to maturity.
We can determine the bond price using the present value formula of a single cash flow for all cash flows.
PV=FV/(1+r)^N
FV=future cash flow(annual coupons for 2 years and face value)
annual coupon=face value*coupon rate
face value=100
coupon rate=9%
annual coupon=100*9%
annual coupon=9
r=discount rate=8%
N=year of cash flows, 1 for year 1 and 2 for year 2
bond price=9/(1+8%)^1+9/(1+8%)^2+100/(1+8%)^2
bond price= 101.78
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solve and receive brainlist
Answer:
x = 4
Step-by-step explanation:
2x + 1 = 9
2x = 9 - 1
2x = 8
x = 4
Answer:
x=4
Step-by-step explanation:
9-1=8
8/2=4
Find the area and perimeter. Please help!!!!!!!!!??
Answer:
325
Step-by-step explanation:
i dont know
The area of a rectangle is 24 inches squared. The BASE is 6 in. What is the HEIGHT? *
pls fast
Answer:
4
Step-by-step explanation:
6*4=24
Base=6
Total=24
24/6=4 Height=4
*if iḿ wrong plz tell me
marissa rode her bike to the park and back home. halfway to the park, she stopped at the library. she lives 1 3/10 miles from the library. how many miles did marissa ride her bike in all?
Answer:
5 2/10 miles or 5 1/5 miles, if you need to reduce fractions
Step-by-step explanation:
The way they wrote this is kind of confusing. Home to library = 1 3/10 miles. That's halfway to the park, so the distance to the park is 1 3/10 + 1 3/10 = 2 6/10 miles.
Then she had to ride that same distance home, so add
2 6/10 + 2 6/10 = 4 12/10 = 5 2/10
If your teacher has you reduce fractions, then it's 5 1/5 miles.
The number of miles did marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.
Calculation of the number of miles:Since
She lives 1 3/10 miles from the library.
So here the distance to the park should be
= 1 3/10 + 1 3/10
= 2 6/10 miles.
Now we basically add it
= 2 6/10 + 2 6/10
= 4 12/10
= 5 2/10
hence, The number of miles did marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.
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Help ASAP plz ASAP please
Answer:
y = 6
Step-by-step explanation:
3y/2 - 1 = 8
3y/2 = 8 + 1
3y/2 = 9
3y = 9 × 2
3y = 18
y = 18/3
y = 6
Answer:
y = 6
Step-by-step explanation:
[tex]\frac{3y}{2}[/tex] -1 =8
[tex]\frac{3y}{2}[/tex] -1 + 1 =8 +1
[tex]\frac{3y}{2}[/tex] = 9
[tex]\frac{3y}{2}[/tex] × 2 = 9 × 2
3y = 18
3y/3 = 18/3
y = 6
Double check:
[tex]\frac{3(6)}{2}[/tex] - 1 = 8
[tex]\frac{18}{2}[/tex] -1 =8
9 - 1 = 8
8 = 8
What is the volume of this cuboid? Remember to include the correct unit of measurement
Answer:
100 cubic cm
Step-by-step explanation:
5 x 2 = 10
10 x 10 = 100
Answer:
hope it helped have a good day mate
3(x + 5) + 2(x – 4)
thank you if you answer this question
Answer:
5x + 7
Step-by-step explanation:
Distribute 3x + 15 + 2x - 8
Combine like-terms 5x + 7
Answer:
5x + 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3(x + 5) + 2(x - 4)
Step 2: Simplify
Distribute: 3x + 15 + 2x - 8Combine like terms (x): 5x + 15 - 8Combine like terms (Z): 5x + 7Write the fraction as a decimal and percent (two answers)
144/200 of the tickets
Answer:
Answers: 0.72 and 72%.
Step-by-step explanation:
144/200 and 72/100 and 36/50 and 18/25 are equivalent to 72%.
Which of the following conditions create a triangle?
Angles: 45°, 45°, 90°
Angles: 120°, 40°, 30°
Angles: 18°, 84, 98°
Angles: 170°, 2°, 8
Answer:
45°, 45°, 90°
Step-by-step explanation:
the interior angles in a triangle must be 180° and two of the angles must be greater than our equal to the third
Question 6
Do set of numbers DO NOT form a Right Triangle?
9, 12, 15
5, 12, 13
3,4,5
4,5,6
Answer:
4,5,6
Step-by-step explanation:
square root of 4²+5²= approximately 6.4
For which equations is 8 a solution? Select the four correct answers.
OX+6 - 2
Ox+2-10
O x-4-4
O x-2-10
2x=4
3x= 24
ož - 16
OŠ - 1
Answer:
3x = 24
x/8 = 11
x - 4 = 4
x + 2 = 10
Lowe's put an advertisement out looking for a department Asst. Manager. They pay
$850 weekly. If Joshua accepts the job, what will he make annually
Answer:
40800
Step-by-step explanation:
4 weeks = 1 month
So we use,
850 * 4 = 3400 (monthly)
12 months = 1 year
So we use,
3400 * 12 = 40800 (annually)
Based on what you've read, answer the following questions.
What number, when substituted for x in the following problem, will make the problem true?
6x + 8x = 10x
How can you insert two radical signs in the following problem to make it true?
5 = 4 + 4 + 4⁄4
Square the following numbers.
a. 4
b. 6
c. 13
d. 10
Cube the following numbers.
a. 1
b. 2
c. 4
d. 8
Rewrite the following exponential abbreviations as multiplication problems.
a. 22
b. 84
c. 123
d. 205
Write the following multiplications as exponential abbreviations.
a. 5 × 5
b. 7 × 7 × 7 × 7
c. 2 × 2 × 2
d. 9 × 9 × 9 × 9 × 9
Write the values of the following exponential abbreviations.
a. 33
b. 142
c. 125
d. 90
e. 44
f. 171
Rewrite each number using scientific notation.
a. 7,600
b. 23,400
c. 167,000
d. 2,000,000,000
Rewrite each scientific notation as a regular number.
a. 9.7 × 104
b. 7 × 105
c. 8.97 × 107
d. 3.2 × 1010
Find each of the following square roots. (Hint: All examples are perfect squares.)
a. √16
b. √169
c. √64
d. √400
ANSWER:
1.If you substitute the number 2 for x in the problem, you’ll make it true.
a.6x + 8x = 10x
b.62 + 82 = 102
c.36 + 64 = 100
d. 100 = 100
2. Insert two radical signs into the problem like this to make it true:
5 = 5 √4 + √4 + 4⁄4
5 = 2 + 2 + 1
5 = 5
3. a. 42 = 4 × 4 = 16
b. 62 = 6 × 6 = 36
c. 132 = 13 × 13 = 169
d. 102 = 10 × 10 = 100
4. a. 13 = 1 × 1 × 1 = 1
b. 23 = 2 × 2 × 2 = 8
c. 43 = 4 × 4 × 4 = 64
d. 83 = 8 × 8 × 8 = 512
5. a. 2 × 2
b. 8 × 8 × 8 × 8
c. 12 × 12 × 12
d. 20 × 20 × 20 × 20 × 20
6. a. 52
b. 74
c. 23
d. 95
7. a. 33 = 3 × 3 × 3 = 27
b. 142 = 14 × 14 = 196
c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832
d. 90 = 1 (Any number to the zero power equals 1.)
e. 44 = 4 × 4 × 4 × 4 = 256
f. 171 = 17 (Any number to the first power equals itself.)
8. a. 7.6 × 103
(103 = 1,000 and 7.6 × 1,000 = 7,600)
b. 2.34 × 104
(104 = 10,000 and 2.34 × 10,000 = 23,400)
c. 1.67 × 105
(105 = 100,000 and 1.67 × 100,000 = 167,000)
d. 2 × 109
(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)
9. a. 97,000
(9.7 × 10 × 10 × 10 × 10 = 97,000)
b. 700,000
(7 × 10 × 10 × 10 × 10 × 10 = 700,000)
c. 89,700,000
(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)
d. 32,000,000,000
(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)
10. a. 4 (4 × 4 = 16)
b. 13 (13 × 13 = 169)
c. 8 (8 × 8 = 64)
d. 20 (20 × 20 = 400)
Answer:
If you substitute the number 2 for x in the problem, you’ll make it true.
6x + 8x = 10x
62 + 82 = 102
36 + 64 = 100
100 = 100
Insert two radical signs into the problem like this to make it true:
5 = 5 √4 + √4 + 4⁄4
5 = 2 + 2 + 1
5 = 5
a. 42 = 4 × 4 = 16
b. 62 = 6 × 6 = 36
c. 132 = 13 × 13 = 169
d. 102 = 10 × 10 = 100
a. 13 = 1 × 1 × 1 = 1
b. 23 = 2 × 2 × 2 = 8
c. 43 = 4 × 4 × 4 = 64
d. 83 = 8 × 8 × 8 = 512
a. 2 × 2
b. 8 × 8 × 8 × 8
c. 12 × 12 × 12
d. 20 × 20 × 20 × 20 × 20
a. 52
b. 74
c. 23
d. 95
a. 33 = 3 × 3 × 3 = 27
b. 142 = 14 × 14 = 196
c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832
d. 90 = 1 (Any number to the zero power equals 1.)
e. 44 = 4 × 4 × 4 × 4 = 256
f. 171 = 17 (Any number to the first power equals itself.)
a. 7.6 × 103
(103 = 1,000 and 7.6 × 1,000 = 7,600)
b. 2.34 × 104
(104 = 10,000 and 2.34 × 10,000 = 23,400)
c. 1.67 × 105
(105 = 100,000 and 1.67 × 100,000 = 167,000)
d. 2 × 109
(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)
a. 97,000
(9.7 × 10 × 10 × 10 × 10 = 97,000)
b. 700,000
(7 × 10 × 10 × 10 × 10 × 10 = 700,000)
c. 89,700,000
(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)
d. 32,000,000,000
(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)
a. 4 (4 × 4 = 16)
b. 13 (13 × 13 = 169)
c. 8 (8 × 8 = 64)
d. 20 (20 × 20 = 400)
Step-by-step explanation:
pf
Answer:
1. If you substitute the number 2 for x in the problem, you’ll make it true.
6x + 8x = 10x
62 + 82 = 102
36 + 64 = 100
100 = 100
2. Insert two radical signs into the problem like this to make it true:
5 = 5 √4 + √4 + 4⁄4
5 = 2 + 2 + 1
5 = 5
3. a. 42 = 4 × 4 = 16
b. 62 = 6 × 6 = 36
c. 132 = 13 × 13 = 169
d. 102 = 10 × 10 = 100
4. a. 13 = 1 × 1 × 1 = 1
b. 23 = 2 × 2 × 2 = 8
c. 43 = 4 × 4 × 4 = 64
d. 83 = 8 × 8 × 8 = 512
5. a. 2 × 2
b. 8 × 8 × 8 × 8
c. 12 × 12 × 12
d. 20 × 20 × 20 × 20 × 20
6. a. 52
b. 74
c. 23
d. 95
7. a. 33 = 3 × 3 × 3 = 27
b. 142 = 14 × 14 = 196
c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832
d. 90 = 1 (Any number to the zero power equals 1.)
e. 44 = 4 × 4 × 4 × 4 = 256
f. 171 = 17 (Any number to the first power equals itself.)
8. a. 7.6 × 103
(103 = 1,000 and 7.6 × 1,000 = 7,600)
b. 2.34 × 104
(104 = 10,000 and 2.34 × 10,000 = 23,400)
c. 1.67 × 105
(105 = 100,000 and 1.67 × 100,000 = 167,000)
d. 2 × 109
(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)
9. a. 97,000
(9.7 × 10 × 10 × 10 × 10 = 97,000)
b. 700,000
(7 × 10 × 10 × 10 × 10 × 10 = 700,000)
c. 89,700,000
(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)
d. 32,000,000,000
(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)
10. a. 4 (4 × 4 = 16)
b. 13 (13 × 13 = 169)
c. 8 (8 × 8 = 64)
d. 20 (20 × 20 = 400)
Step-by-step explanation:
A box will be built with square base and an open top. Material for the base costs $8 square foot, while material for the side's costs $2 per square foot. Find the dimension of the box of maximum volume that can be built for $2400.
The height and side of the box for the maximum volume are 20 feet and 10 feet respectively.
What is area?Area is the amount of space occupied by a two-dimensional figure.
How to calculate the area of square?The area of square is the product of the length of each side with itself.
[tex]A = a^{2}[/tex]
Where,
A is the area of square
a is the length of the side of square
What is volume?Volume is the measure of the capacity that an object holds.
Formula for the volume of cuboidvolume = length × breadth × height
According to the given question
We have
A box with the open top and square base.
Let x be the side of the box. And h be the height of the box
Also, the cost of material for the base is $8 and for side is $2 per square foot.
The total cost of material for the box is $2400
⇒[tex]8x^{2} + 4(2xh) = 2400[/tex]
⇒ [tex]8x^{2} + 8xh = 2400\\[/tex]
⇒[tex]x^{2} + xh = 300[/tex]
⇒ [tex]h = \frac{300-x^{2} }{x}[/tex]
Therefore,
volume of the box
[tex]= x^{2} h[/tex]
= [tex]x^{2} \frac{3000-x^{2} }{x}[/tex]
= [tex]x(300-x^{2} )[/tex]
= [tex]300x - x^{3}[/tex]
for the maximum volume,[tex]\frac{d}{dx}(v)=0[/tex]
⇒ [tex]300 - 3x^{2} =0[/tex]
⇒[tex]300 = 3x^{2}[/tex]
⇒ [tex]x^{2} =100[/tex]
⇒ x = ± 10
⇒ x= 10 feet (x = -10 not possible)
So, h = [tex]\frac{300-100}{10} = 20feet[/tex]
Hence, the height and side of the box for the maximum volume are 20 feet and 10 feet respectively.
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HELP MEEEEEEEEEEEEEEEE PLSSSSSSSSSSSSSSSSSSSS I BEG I BEG
Answer:
A. There are 8 seventh grade students
B. There are 14 total questions on the test
Step-by-step explanation:
Which expression represents a number, p, added to the difference of 25 and 5?
A. 25-5+p
B. 25-5-p
C. 25+5-p
Answer:
A.
Step-by-step explanation:
Which of the following is most likely the next step in the series ?
hey there .. here is ur answer ..
Option D is the right answer as you can see ..
If it helps u .. plz mark me as brainliest ..
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Please answer :)
( Will give brainlst)
Answer: 10
Step-by-step explanation:
How is tha main carecter of the rear
In a trapezoid with bases of lengths a and b, a line parallel to the bases is drawn through the intersection point of the diagonals. Find the length of the segment that is cut from that line by the legs of the trapezoid. Plz explain thx
Answer:
Consider the trapezoid ABCD. In this trapezoid BC=a and AD=b.
Since triangles BOC and AOD are somilar, then
[tex] \dfrac{AO}{OC}=\dfrac{DO}{OB}=\dfrac{AD}{BC}=\dfrac{b}{a}. [\tex]
OC/AO = OB/DO = BC/AD=/ba
Triangles OAE and CAB are similar
EO/BC=b/(a+b)
EO=ab/(a+b)
again
OF=ba/(b+a)
and.
EF=2a/(a+b) is arequired length.
Can you guys help me answer this? It's kinda urgent
True or false: is x=4 a solution to |x+5| =-9?. Explain
Answer:
No
Step-by-step explanation:
if u subsitute x for 4, 4+5 would equal positive 9.
Help please pls pls pls
Answer:
The right answer is neither
Step-by-step explanation:
I said because Exponential describes a very rapid increase. ... Exponential is also a mathematical term, meaning "involving an exponent." When you raise a number to the tenth power, for example, that's an exponential increase in that number. the part involves exponent is the y part same number multiple to it self to get the next answer while the x part one specific number to get the next number which is linear but since theyre asking about the relationship it’s neither because both were supposed to have the same relationship linea for x and y or exponential for x and y but they both are different.
What is 859 divided by 3? use this strategy get the answer.
Answer:
286.33
Step-by-step explanation:
Find the value of x.
x + 3
12
Answer:
x=9
Step-by-step explanation:
12=x+3
9=x
you set the sides equal to eachother bc they have the same angles!
Answer:
9
Step-by-step explanation:
x + 3 = 12 (both sides of triangle are equal, because angles are equal)
x= 12 - 3
x = 9
When chords intersect in a circle, the vertical angles formed intercept congruent arcs.
Answer:
sometimes
Step-by-step explanation:
if those are the options you have then that's the correct answer
15 3/4percent is equal to which decimal
Answer:
Step 1: Multiply the whole number by the denominator:
15 3/4 = 15.75
Step-by-step explanation:
Step 1: Multiply the whole number by the denominator:
15 × 4 = 60
Step 2: Add the product you got in Step 1 to the numerator:
60 + 3 = 63
Step 3: Divide the sum from Step 2 by the denominator:
63 ÷ 4 = 15.75
That's it folks! The answer to 15 3/4 in decimal form is displayed below:
Why is your amount owed considered when determining your credit score? BI U S
Please help me solve this word problem please
Answer:
it is 69
Step-by-step explanation:
do calculations
Please help!!! Will give brainliest
Answer:
option C
Step-by-step explanation:
option C is the correct answer of this question.
plz mark my answer as brainlist plzzzz vote me.
hope this will be helpful to you.