The yield on the corporate bond of a face value of $1000 is 7.77%.
What is the percentage discount?
The percentage discount is the discount given on a product as compared to the given discount on 100 rupees.
Given, the face value of the bond is $1000.
Discounted price of the bond is $900.
Therefore, the fixed interest on the bond for that period will be
= $1000 × 7/100 = $70.
Now, the yield on that corporate bond = 70 × 100/900 % = 7.77% .
Hence, the yield on the corporate bond of a face value of $1000 is 7.77%.
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dont mind the answer I put thank y’all!!
Answer:
your right
Step-by-step explanation:
the answer is k and l thats right pls mark brainliest
or hit the thanks button!!!!!!!
pls and thank you!
Simplify the expression. √686x¹y7 OA. 7xy √2xy OB. 7zy 2xy Oc 7xy √xy² OD. 7x²y √2xy?
The correct simplified answer is [tex]49\sqrt{2xy}[/tex]
According to the question, the expression can be simplified as:
Given expression: [tex]\sqrt{686 xy7 } = \sqrt{7 X 7 X 7 X 2 X7xy}= 49\sqrt{2xy}[/tex]
Hence, the correct answer is [tex]49\sqrt{2xy}[/tex]
What is simplification?
The word simplification makes the complicated expression into simpler expression. Simplification method uses basic mathematics properties for the complicated expression. After simplification, the calculation become easy.
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Teresa has a total of 13 coins.
None of them are pennies, and she has at least three each of quarters, dimes, and nickels.
What is the least amount of money she can have?
Answer: $0.65
Step-by-step explanation:
She can have all nickels since at least 3 nickels means that there is a possibility that all 13 of her coins are nickels.
100 cents=1 dollar
Nickel=5 cents
5 cents * 1 dollar/100 cents=
5*1/100=0.05 dollars
Hence, the least total amount of money she could have is:
13*0.05=$0.65
This is equivalent to 140 cents.
==========================================================
Explanation:
"she has at least three each of quarters, dimes, and nickels"
Let's say she has exactly 3 of each for now
3 quarters = 3*25 = 75 cents3 dimes = 3*10 = 30 cents3 nickels = 3*5 = 15 centsSo far she has 75+30+15 = 120 cents (aka $1.20) with the 3*3 = 9 coins mentioned. There are 13-9 = 4 coins remaining
To achieve the least money possible, those missing four coins must be the smallest denomination allowed, i.e. the nickel. We can't go for penny since it states "none of them are pennies". So we add 4*5 = 20 more cents onto 120 to get 120+20 = 140 cents aka $1.40
what is the value of the algebraic expression if x=1/2, y -1, and z=2?
The value of the given algebraic expression 6x(y²z) is (D) 6.
What are algebraic expressions?In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions. 2(x + 8y) is an algebraic expression, for example.So, substitute the values of x, y, and z in the given expression:
6x(y²z)
When x = 0.5, y = -1 and z = 2
= 6(0.5)((-1)²)(2)= 3(1)(2)= 6Therefore, the value of the given algebraic expression is (D) 6.
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The complete question is given below:
What is the value of the algebraic expression if x= 1/2 , y = -1, and z = 2? 6x(y²z)
A. -12
B. -6
C. 1
D. 6
Which of the following numbers has an odd number of factors
A) 12
b) 24
c) 36
d) 48
The sum of two numbers is 14 . One number is 2 less than the other. Find the numbers.
The two numbers are 6 and 8.
What are the two numbers?The first step is to determine the simultaneous equations that would be used to determine the answer. The simultaneous equations would be derived from the information provided in the question.
x + y = 14 equation 1
x - y = 2 equation 2
Where:
x = larger number
y = smaller number
The simultaneous equations would be solved using the elimination method
Now, subtract equation 2 from equation 1
2y = 12
Divide both sides of the equation by 2
y = 12 / 2
y = 6
Substitute for y in equation 2
x - 6 = 2
Add 6 to both sides of the equation
x = 2 + 6
x = 8
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Determin whether the relation defines a function, and give the domain and range.
The relation is not a function if its domain is on the x-axis and its range is on the y-axis. However, if the relation's domain is on the y-axis and its range is on the x-axis, it is a function.
If so, what kind of function is it?
Relationships are defined by three factors:
1. domain is a set of inputs.
2. an output set referred to as range.
3 . relationships between domain and range-related items.
If and only if each element of the domain is associated to just one member of the range, is a relation a function. It must be noted that the solution may vary based on the domain and range that we assume.
The provided relation is a function if the x-axis is the range and the y-axis is the domain, as opposed to when the x-axis is the domain and the y-axis is the range.
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I need help ASAP, this is with khan academy.
Answer:
◉ No
Step-by-step explanation:
a vertical line is not a function because it will not survive the vertical line test, VLT.
the VLT is a vertical line that touches functions, if it touches it twice or more, then it's not a function
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[tex]\textcopyright ELIZA \bullet22/09/'22[/tex]
[tex]\#CARRYONLEARNING :)[/tex]
over the period every year Julie‘s net worth increased which of the following could be true
(D) Julie's assets decreased by more than her liabilities: TRUE
What are assets?An asset is any resource owned or controlled by a business or economic entity in financial accounting. It is anything that has the potential to generate positive economic value. Assets are ownership values that can be converted into cash. Physical assets include machinery, property, raw materials, and inventory, as well as intangible assets such as patents, royalties, and other intellectual property.So, assets are simply the resources that a person or company possesses, whereas liabilities are the debts that the economic agent owes to others.
Juliet's net worth will decrease because the value of her debt increased faster than the rate at which her assets increased. Julie's assets decreased more than her liabilities in this case.Therefore, the statement "(D) Julie's assets decreased by more than her liabilities" is TRUE.
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The complete question is given below;
Over the period of a year, Julie's net worth decreased. Which of the following could be true?
a Julie's assets and liabilities decreased by the same amount.
b. Julie's assets and liabilities increased by the same amount.
C. Julie's assets increased by more than her liabilities.
d. Julie's assets decreased by more than her liabilities.
Please select the best answer from the choices provided
Jessie recently drove to visit her parents who live 192 miles away. On her way there her average speed was 20 miles per hour faster than on her way home (she ran into some bad weather). If Jessie spent a total of 8 hours driving, find the two rates (in mph).
Answer:
38 and 58
Step-by-step explanation:
A truck driver is driving on an interstate and is about 150 miles from his planned exit. He is traveling at a speed of 50 miles per hour and plans to stop for a rest within 30 miles of the exit on either side. Find the minimum and maximum numbers of hours the truck driver will drive before stoping for a rest.
The minimum and maximum numbers of hours the truck driver will drive before stoping for a rest will be 3.6 hours and 2.4 hours respectively.
How to illustrate the information?From the information, the truck driver is driving on an interstate and is about 150 miles from his planned exit and he is traveling at a speed of 50 miles per hour and plans to stop for a rest within 30 miles of the exit on either side.
Therefore, the appropriate equation be:
50h - 150 = 30
50h = 30 + 150
50h = 180
Divide
h = 180 / 50
h = 3.6 hours.
The minimum hours will be:
50h = 150 - 30
50h = 120
h = 120/50
h = 2.4 hours.
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6 apples and 5 oranges are shared among 3 people. If the apples are indistinguiable, oranges are also indistinguiable, how many ways can they share these fruits if each person must have at least 1 fruit?
The number of ways that they can share these fruits if each person must have at least 1 fruit will be 12 ways.
How to illustrate the information?From the information, 6 apples and 5 oranges are shared among 3 people and the apples are indistinguiable, oranges are also indistinguiable.
Therefore, the number of ways that they can share these fruits if each person must have at least 1 fruit will be:
= (6 - 3)! × (5 - 3)!
= 3! × 2!
= 3 × 2 × 2
= 12
Therefore, the number of ways that they can share these fruits if each person must have at least 1 fruit will be 12 ways.
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True or false is zero is subtracted from an integer the result is the integer
[tex] \chi - 0 = \chi \\ 2 - 0 = 2 \\ y - 0 = y\\ .....[/tex]
TrueAny number take away zero, is still that number.
Tomas is finding the coordinates of point A. He knows that point A has an x-coordinate of 8. He starts to compute the value of the y-coordinate. Complete Tomas’s work to answer the question.
Which is the coordinate of point A?
(8, –6)
(–6, 8)
(6, –8)
(–8, –6)
Answer: Доброе утро, ответ 5+5="4
Step-by-step explanation:
3.007 as a fraction?
Decimal > Fraction
Answer:
3 7/100
Step-by-step explanation:
3007/1000 = 3 7
1000
(c)
If two marbles are selected at random without replacing between draws, what is the probability that the outcome contains green and/or blue marbles only? (Round your answer to four decimal places.)
(d)
If three marbles are selected at random without replacing between draws, what is the probability that the outcome contains only green marbles? (Round your answer to four decimal places.)
(e)
If three marbles are selected at random with replacing between draws, what is the probability that the outcome contains no green marbles? (Round your answer to four decimal places.)
The following issues have the following needed probabilities: 1.) 1 / 3 2.) 1 / 5, and 3.) 1 / 4.
Here,
Four red marbles, five yellow marbles, three green marbles, and three blue marbles make up a jar.
There are 15 marbles in all.
1) Chance that the result exclusively includes green and/or blue marbles,
= 2 / 6 = 1 / 3
2.) Chance that the result solely contains green marbles
= 3 / 15 = 1 / 5
3.) the likelihood that there won't be any green marbles in the result,
= 3 / 12 = 1 / 4
As a result, the needed probability for the following issues is given: 1.) 1 / 3. 2.) 1 / 5, and 3.) 1 / 4.
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Cynthia Besch wants to buy a rug for a room that is 18 ft wide and
29 ft long. She wants to leave a uniform strip of floor around the
rug. She can afford to buy 276 square feet of carpeting. What
dimensions should the rug have?
Answer:
Given,
length(l)=29ft
breadth(b)=18ft
now,
Area of rug=l×b
=29×18=522ft²
cia
Mat
Scien
Simplify the expression 4a + b - 7+ b + a - 3.
7a + 2b - 4
5a + 2b - 4
5a + 2b - 10
за - 10
Answer:
the answer would be 5a+2b-10
You are employed as the office manager at Clover Point Pediatrics. Your job requires you to take on many responsibilities. One of these is to arrange for the annual clinic party. This year, you have been given permission to rent a banquet room at a local hotel, hire a caterer, and hire a disc jockey for entertainment. There are 23 employees and each will be bringing one guest (46 total).
The caterer is charging $29.95 per person for a sit-down dinner. What will be the total cost for food?
The total cost on the food in the annual clinical party is a $1377.7.
According to the statement
We have to find that the total cost of the food.
So, For this purpose, we know that the
The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.
From the given information:
There are 23 employees and each will be bringing one guest (46 total).
The caterer is charging $29.95 per person for a sit-down dinner.
And then
Total person = 46
The cost of food per plate = $29.95
Then
Total cost of the food = 29.95*46
Total cost of the food = 1377.7
So, The total cost on the food in the annual clinical party is a $1377.7.
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Point W (-2,4) from square WXYZ is translated 4 units right. What are the coordinates for W’ ?
Answer:
W' (2, 4 )
Step-by-step explanation:
a translation of 4 units right means add 4 to the x- coordinate, that is
W (- 2, 4 ) → W' (- 2 + 4, 4 ) → W' (2, 4 )
What is the image of the point
(−9,7) (−9,7) after a rotation of 180∘
counterclockwise about the origin?
The image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).
What is Dilation?Dilation is a process for creating similar figures by changing the size.
What is the rotation of a point counterclockwise about the origin?Rotation of a point P(x, y) 180 counterclockwise about the origin produces an image at P'(-x, -y).
Here, the point counterclockwise about the origin → (-(-9), -7).
Therefore, the image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).
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Muscles Gym has a rack of hand weights. There are four hand weights that weigh 5 pounds each. What is the area of the side of the hand weight shown ?
Answer:
21 7/8 in^2
Step-by-step explanation:
explantation up top
Solve for h.
V=1/3bh
Answer:
h = 3V /b
Step-by-step explanation:
V=1/3bh
Solve for h
Multiply each side by 3
3V = 3*1/3bh
3V = bh
Divide each side by b
3V/b = bh/b
3V /b = h
h = 3V /b
Answer:
[tex]3v = bh \\ bh = 3v \\ h = \frac{3v}{b} [/tex]
Marissa bought 12.8 pounds of potatoes at $1.35 per pound how much did Marissa spend for the potatoes? Explain.
PLS HELP (easy math im just really bad) ILL GIVE YOU A BRAINLIEST AND 15 POINTS
Answer: -3b + 21
Step-by-step explanation:
-3(b-7) distribute the -3 to the rest of the equation
= -3b + 21
Answer:
Step-by-step explanation:
So we have our equation -3(b-7)
We are multiplying -3 by b, and by 7, and subtracting the products from each other
so, -3x7=-21
and we would have -3b
so now, we can put this back into the equation as
-3b+21 (because the rule is that subtracting a negative from a negative is the same as adding a positive)
Hope this helps!^^
The length of a rectangel is 11 less than 9 times the width. The perimeter of the rectangle is 18 inches
According to the question, the given parameters has relationship between the length and the width of the rectangle.
The perimeter of the rectangle is 18 inches.
Now, using standard perimeter as well as area formulas of a rectangle. Therefore, the equation can become:
Let us assume, the width of the rectangle be 'w' inches
The length of a rectangle be (9w - 11)
As we know, perimeter of a rectangle is 2(l + w)
Substitute the calculated parameters in the perimeter formula:
18 = 2(9w - 11 + w)
⇒ 9 + 11 =10w
⇒ w = 2 inches and l = 7 inches
Then, the calculated width is 2 inches and length is 7 inches.
What is rectangle?
Rectangle is two-dimensional shape. It has four sides, four corners and four angles. In this opposite sides are equal to each other. And the opposite sides are equal and parallel to each other.
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1/3 x 3/5 = hgggbbbhbh
Answer:
14/15
Step-by-step explanation:
Evaluate the expression when n=8. n^2 - 18
Answer:
Step-by-step explanation:
n^2 - 18. n=8
Simply plug 8 in place of n. The ^ sign refers to the power of the number, so in this case we square it. Review order of operations if needed.
8^2 - 18
(8×8) - 18
64 - 18 = 46
So the answer is 46
3^4 x 10^6
What is the answer ??
If α =i+j−2k, β =−i+2j+3k andγ =5i+8k, then find c and d such that γ−cα−dβ is perpendicular to both α and β
If [tex]\hat\gamma-c\hat\alpha-d\hat\beta[/tex] is perpendicular to both [tex]\hat\alpha[/tex] and [tex]\hat\beta[/tex], then their dot products are zero.
Recall that for any vector [tex]\hat x[/tex], [tex]\hat x\cdot \hat x = \|\hat x\|^2[/tex].
Now, we have
[tex](\hat\gamma - c\hat\alpha - d\hat\beta) \cdot \hat\alpha = (\hat\gamma\cdot\hat\alpha) - c\|\hat\alpha\|^2 - d (\hat\beta\cdot\hat\alpha) = 0[/tex]
[tex]\hat\gamma\cdot\hat\alpha = 5 + 0 - 16 = -11[/tex]
[tex]\|\hat\alpha\|^2 = 1^2 + 1^2 + (-2)^2 = 6[/tex]
[tex]\hat\beta\cdot\hat\alpha = -1 + 2 - 6 = -5[/tex]
[tex]\implies 6c - 5d = -11[/tex]
and
[tex](\hat\gamma - c\hat\alpha - d\hat\beta) \cdot \hat\beta = (\hat\gamma\cdot\hat\beta) - c(\hat\alpha\cdot\hat\beta) - d \|\hat\beta\|^2 = 0[/tex]
[tex]\hat\gamma\cdot\hat\beta = -5 + 0 + 24 = 19[/tex]
[tex]\|\hat\beta\|^2 = (-1)^2 + 2^2 + 3^2 = 14[/tex]
[tex]\implies 5c - 14d = -19[/tex]
Solve for [tex]c[/tex] and [tex]d[/tex]. By elimination,
[tex]5(6c - 5d) - 6(5c - 14d) = 5(-11) - 6(-19)[/tex]
[tex]-25d + 84d = -55 + 104[/tex]
[tex]59d = 59[/tex]
[tex]\boxed{d=1}[/tex]
[tex]6c-5 = -11[/tex]
[tex]6c=-6[/tex]
[tex]\boxed{c=-1}[/tex]
