Answer: $6.32
Step-by-step explanation:
$79.00 x .08 = $6.32 sales tax
Making the assumption of no compounding interest, suppose you purchase a perpetuity bond from Sense/Net Corporation for $4,000 with an annual coupon rate of 3% . Specify all answers to the nearest dollar, and assume a discount rate equal to that of the current interest rate. What is the yearly return on your $4,000 investment?
Answer:
$120
Explanation:
Data provided as per the given question below:-
Investment = $4,000
Coupon rate in percentage = 3%
The computation of yearly return is shown below:-
Yearly return = Investment × Coupon rate in percentage
= $4,000 × 3%
= $120
Therefore for computing the yearly return we simply investment with coupon rate in percentage.
A search committee is formed to find a new software engineer.
a) if 100 applicants apply for the job, how many ways are there to select a subset of 9 for a short list?
b) If 6 of the 9 are selected for an interview, how many ways are there to pick the set of people who are interviewed?
c) Based on the interveiw, the committe wil rank the top three candidates and submit the list to their boss who will make the final decision. How many ways are there to select the list from the 6 interviews?
Answer:
(a) 1,902,231,808,400
(b) 84
(c) 20
Step-by-step explanation:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!\cdot(n-k)!}[/tex]
(a)
Compute the number of ways to select 9 applicants from 100 as follows:
[tex]{100\choose 9}=\frac{100!}{9!\cdot(100-9)!}[/tex]
[tex]=\frac{100!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92\times 91!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92}{9!}\\\\=1902231808400[/tex]
(b)
Compute the number of ways to select 6 people from 9 as follows:
[tex]{9\choose 6}=\frac{9!}{6!\cdot(9-6)!}[/tex]
[tex]=\frac{9!}{6!\times 3!}\\\\=\frac{9\times 8\times 7\times 6!}{6!\times 3!}\\\\=\frac{9\times 8\times 7}{3!}\\\\=84[/tex]
(c)
Compute the number of ways to select top 3 candidates from 6 as follows:
[tex]{6\choose 3}=\frac{6!}{3!\cdot(6-3)!}[/tex]
[tex]=\frac{6!}{3!\times 3!}\\\\=\frac{6\times 5\times 4\times 3!}{3!\times 3!}\\\\=\frac{6\times 5\times 4}{3!}\\\\=20[/tex]
Need help with Brainly!!!!
Every time i type in a question i get the response.. "There aren't any matches for your search". Then i look it up on google and find the first site to be brainly with the answer, i can't use my brainly account what so ever and it's something i use daily.
Answer:
its not just you, happening to me too and i think its something wrong with brainly not us
Step-by-step explanation:
Answer:
do you have a brainly account that you look up questions on?
Step-by-step explanation:
A few other people are having this problem also.
WITH AN EQUATION
Marlen went to the mall and spent $35.75 on shoes. When she got home she had
$40.00 in her purse. Which equation can be used to find the amount of money she
started with?
Answer:
x-35.75=40.00
Step-by-step explanation:
Let's use m as our variable.
So Marlen went to the mall and spent $35.75 on shoes. When she got home she had $40.00 in her purse.
An equation to represent this is : x-35.75=40.00
If you are interested in the value of x it is $75.75
3. What is the slope of the line that passes through (7,0) and (4, 9)?
A.) 1/3
B.) 1/3
C.) -3
D.) 3
E.) none of these
The amounts of e-waste generated in a region during two years were 14,200,000 tons and 10,700,000 tons. What was the total e-waste generated over these two years in the region, expressed in scientific notation? (5 points)
9514 1404 393
Answer:
2.49×10^7
Step-by-step explanation:
14,200,000 +10,700,000 = 24,900,000 = 2.49×10,000,000
= 2.49×10^7
_____
Your scientific or graphing calculator can tell you the sum and display it in scientific notation.
don't know how to solve this question exactly i need help
what is the least number of degrees you could rotate a square around its center so that it appears to be unchanged?.
Answer:
Does a square have rotation symmetry? Yes, a square can be rotated \begin{align*}90^\circ\end{align*} counterclockwise (or clockwise) about its center and the image will be indistinguishable from the original square.
Step-by-step explanation:
Answer:
90°
Step-by-step explanation:
If you rotate a square about its axis, in 90°, 180°, 270°, 360°, ... degrees, it looks to be the same.
PLEASE HELP ASAP!
Vocabulary: Match each of the vocabulary words with the correct definitions.
___________ rise/run
___________ y2-y1/x2-x1
___________ Rate of Change
__________ b
__________ m
__________ when the value of x is 0
__________ when the line crosses the y-axis
__________ horizontal line
__________ vertical line
__________ increasing line
__________ Decreasing line
__________ all rates of change are the same
__________ y = mx + b
__________ any form of ax + by + c = 0
Vocabulary Word Options:
Undefined slope
Positive slope
Negative slope
Slope
The letter that represents the y-intercept
The letter that represents slope
Slope of a Graph
Slope of a Table
Y-intercept
Zero slope
Y-intercept of a graph
Linear equation
Slope intercept form
Standard form
Answer:
1. slope
2. slope
3. slope
4. y intercept
5. slope
6. it crosses the x axis
7. when the value of y is zero
8. when the form is y = something
9. when the form is x = something
10. Positive slope
11. Negative slope
12. y=x
13. Slope Intercept form
14. Standard form
Find the perimeter of the figure shown below.
Can you please explain how to do this?
thank you!
Answer:
P = 264m
A= 1089 m^2
Step-by-step explanation:
Need help finding the parallel and perpendicular slope
Answer:
Step-by-step explanation:
(x₁, y₁) = (19 , -4) & (x₂ ,y₂) = (17, -20)
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-20-[-4]}{17-19}\\\\= \frac{-20+4}{17-19}\\\\= \frac{-16}{-2}\\\\= 8[/tex]
m = 8
Parallel lines have same slope.
Parallel slope = 8
Slope of perpendicular line = [tex]\frac{-1}{m}[/tex]
Perpendicular slope = [tex]\frac{-1}{8}[/tex]
Can someone check this for me please?
Answer:
B. -4, -3
Step-by-step explanation:
The equation x^(2) + 7x + 12 can be factored using the AC method resulting in
( x + 4 )( x + 3 ). So x = -4, -3. You can use foil to check.
Find the next three terms of the following arithmetic sequence -2, -5, -8, -11,
Answer: -14, -17, and -20
Step-by-step explanation: Study the sequence.
Notice that each number is 3 less than the number before it.
In other words, -2 - 3 is -5, -5 - 3 is -8, and -8 - 3 is -11.
Now, if we continue with this same sequence,
-11 - 3 is -14, -14 - 3 is -17, and -17 - 3 is -20.
So the next three numbers are -14, -17, and -20.
You win an online auction for a toy. Your winning bid of $60 is 75% of your maximum bid. How much more were you willing to pay for the toy than you actually paid?
The maximum amount of bid for the toy will be equal to $80.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that you win an online auction for a toy. Your winning bid of $60 is 75% of your maximum bid.
The maximum bid will be calculated as,
Maximum bid = ( 100 x 60 ) / 75
Maximum bid = $80
Therefore, the maximum amount of bid for the toy will be equal to $80.
To know more about an expression follow
https://brainly.com/question/19559630
#SPJ2
Who can answer this correctly for PayPal?
Answer:
Step-by-step explanation:
Property of an isosceles triangle,
Opposite angles of the equal sides in an isosceles triangle are equal in measure.
m∠D = m∠F
(2x + 8) = (3x + 4)
3x - 2x = 8 - 4
x = 4
m∠D = m∠F = (3×4 + 4)°
= 16°
m∠D = m∠F = 16°
Since, sum of interior angles of a triangle = 180°
m∠D + m∠E + m∠F = 180°
16° + m∠E + 16° = 180°
m∠E = 180° - 32°
m∠E = 148°
4 and 5 only (ignore what i already wrote if u want)
Step-by-step explanation:
y²-y¹/x²-x¹
4-(-2)/5-(-3)
6/8
=3/4
y²-y¹/x²-x¹
(-3)-5/3-(-6)
-8/9
= -8/9
first to help gets the brainliest, please explain how you did it?
Answer:
Perpendicular = 1
parallel = -1
Step-by-step explanation:
Parallel - you must have the same slope, so it is -1
then, for a perpendicular line, the slope is the opposite, so 1
Eight times the difference of a number and 4
Answer:
8(n-4) click brainliest and thanks please
I need help really bad please
Answer:
I think the number is 26
Step-by-step explanation:
Because you need another whole number so you start with 15 then add on eleven to make it equel.
hope this helped.
what is y to the fourth power?
y=4
Answer:
the awnser is 256
Step-by-step explanation:
- 2
0
-3
A
Evaluateg (-6) for
the graph of g (h)
-6
-9
-12
-15
to the right
-18
-21
-24
-27
-30
A. – 39
B. – 20
C. – 33
-33
-36
39
Answer:
A
Step-by-step explanation:
Hopefully this helps
Find each difference
(- 13n ) - ( 17 - 5n)
estimate each product 19.3 × 6
Answer: 115.8
Step-by-step explanation:
THERE IS NO EXPLANATIONNNN
Answer:
19.3 x 6 is 115.8. if you wanna round it up its 119
Step-by-step explanation:
PLEASEEEE HELP!!
Find the equation of the line. Use exact numbers.
Answer:
y=-1.5x+3
Step-by-step explanation:
HOT AIR BALLOON A balloon rises
340 feet into the air. Then it descends
130 feet
PLEASE ANSWER I REALLY NEED IT
Answer:
it is at 210 feet
Step-by-step explanation:
it rises 340 feet, then it descends 130 so we subtract 130 from 340 which gets us 210 feet.
please help asap i don’t understand this.
Answer:
It is the second circle I believe
Step-by-step explanation:
As you can see on the x side is always just going up 1, and the y side is 2 numbers behind the x side in the beginning. But the y side catches up to the x side, which you can see once the x and y side both have positive 1's. The the y side goes up 2 more while the x side only goes up once.
4x - 2y + z = 30
6x + 5y + 6z = 74
6x + 2y + 8z = 64
Answer:
lasjn sk sklan djsk
Step-by-step explanation: so jakbas akbsa
Picture in question
Total Price: A bedroom set that normally sells for $1465 is on sale for 20% off. If sales tax rate is 9%, what is
the total price of the bedroom set if it is bought while on sale?
plz help me tha ks so myxhhh
A store is instructed by corporate headquarters to put a markup of 43% on all items. An item costing $7 is displayed by the store manager at a selling price of $3. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
Answer:
a
Step-by-step explanation:
did it