Answer:
a). Nadia made a total of $825 last week in commission sales
b). The total amount Nadia in commission in 2011=$42,900
Step-by-step explanation: Step 1
Express the amount in commission she earns from her sales as follows;
C=S×r
where;
C=commission earned
S=total value of stock sales
r=commission rate
In our case;
C=unknown
S=$7,500
r=11%=11/100=0.11
replacing;
C=11% of 7,500
C=(11/100)×7,500
C=0.11×7,500=825
Nadia made a total of $825 last week in commission sales
b). To express the total amount she made in 2011, we derive the formula below;
Total amount (2011)=Average weekly commission×number of weeks in 2011
where;
Average weekly commission=$825
number of weeks in 2011=52
replacing;
Total amount (2011)=(825×52)=42,900
The total amount Nadia in commission in 2011=$42,900
Answer:
jjhjjh
Step-by-step explanation:
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select the cost of 2 pounds of blueberries
$2
$4.50
$9
$14.00
If (x+5) is one of the factors of the polynomial x3 + x2 - 32x - 60, find the remaining roots.
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love
Step-by-step explanation:
Answer:
x = 5
x = 2
x = -6
Step-by-step explanation:
Use synthetic division to determine whether x – 4 is a factor of:
–2x5 + 6x4 + 10x3 – 6x2 – 9x + 4
For x – 4 to be a factor, you must have x = 4 as a zero. Using this information, I'll do the synthetic division with x = 4 as the test zero on the left:
completed division
Since the remainder is zero, then x = 4 is indeed a zero of –2x5 + 6x4 + 10x3 – 6x2 – 9x + 4, so:
Yes, x – 4 is a factor of –2x5 + 6x4 + 10x3 – 6x2 – 9x + 4
Find all the factors of 15x4 + x3 – 52x2 + 20x + 16 by using synthetic division.
Remember that, if x = a is a zero, then x – a is a factor. So use the Rational Roots Test (and maybe a quick graph) to find a good value to test for a zero (x-intercept). I'll try x = 1:
completed division
This division gives a zero remainder, so x = 1 must be a zero, which means that x – 1 is a factor. Since I divided a linear factor (namely, x – 1) out of the original polynomial, then my result has to be a cubic: 15x3 + 16x2 – 36x – 16. So I need to find another zero before I can apply the Quadratic Formula. I'll try x = –2:
completed division
Since I got a zero remainder, then x = –2 is a zero, so x + 2 is a factor. Plus, I'm now down to a quadratic, 15x2 – 14x – 8, which happens to factor as:
(3x – 4)(5x + 2)
Then the fully-factored form of the original polynomial is:
15x4 + x3 – 52x2 + 20x + 16
= (x – 1)(x + 2)(3x – 4)(5x + 2)
Given that x = -3 + sqrt(11) is a zero of x4 + 6x3 – 7x2 – 30x + 10, fully solve the
equation x4 + 6x3 – 7x2 – 30x + 10 = 0.
Since they have given me one of the zeroes, I'll use synthetic division to divide it out:
completed division
(You will probably want to use scratch paper for the computations required when manipulating the radical root.) Copyright © Elizabeth Stapel 2002-2011 All Rights Reserved
Since you only get these square-root answers by using the Quadratic Formula, and since the square-root part of the Formula is preceded by a "plus-minus" sign, then these square-root answers must always come in pairs. Thus, if x = -3 + sqrt(11) is a root, then so also must x = -3 - sqrt(11) be a root. So my next step is to divide by x = -3 - sqrt(11):
completed division
I had started with a fourth-power polynomial. After the first division, I was left with a cubic (with very nasty coefficients!). After the second division, I'm now down to a quadratic (x2 + 0x – 5, or just x2 – 5), which I know how to solve:
x = +/- sqrt(5)
Then the full solution is:
x = -3 +/- sqrt(11), +/- sqrt(5)
If you have studied complex numbers, then you may see a problem of the following type.
Given that 2 – i is a zero of x5 – 6x4 + 11x3 – x2 – 14x + 5, fully solve the
equation x5 – 6x4 + 11x3 – x2 – 14x + 5 = 0.
They have given us a zero, so I'll use synthetic division and divide out 2 – i:
completed division
(You will probably want to use scratch paper for the computations required when doing complex division.)
Recall that, to arrive at a zero of 2 – i, they must have used the Quadratic Formula, which always spits out complex answers in pairs. That is, you get the imaginary part (the part with the "i") from having a negative inside the "plus or minus square-root of" part of the Formula. This means that, since 2 – i is a zero, then 2 + i must also be a zero. So I'll divide by 2 + i:
completed division
This leaves me with a cubic, so I'll need to find another zero on my own. (That is, I can't apply the Quadratic Formula yet.) I can use the Rational Roots Test to help find potential zeroes, and a quick graph of x3 – 2x2 – 2x + 1 can help. I will try x = –1:
completed division
Now I'm down to a quadratic (x2 – 3x + 1, which happens not to factor), so I'll apply the Quadratic Formula to get:
x = (3 +/- sqrt(5))/2
Then all the zeroes of x5 – 6x4 + 11x3 – x2 – 14x + 5 are given by:
x = 2 - i, 2 + i, (3 - sqrt(5))/2, (3 + sqrt(5))/2, -1
-8x + 2c = -3, for x
Answer:
x=3/8+c/4
Step-by-step explanation:
Identify the slope of the line.
y=x+11
Answer:
when starting from point 0|0 go 11 points up. then just up to the right
Answer:
m = 1
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).
plz help
Solve the system by Substitution
y=2x+15
7x+2y=−14
A(-6, 3)
B(4, -7)
C(6, -7)
D(-4, 7)
Answer
D
Step-by-step explanation:
y=2x+15
7=2(-4)+15
7=15-8
7=7
7x+2y=-14
7(-4)+2(7)=-14
-28+14=-14
-14=-14
Triangle DEF with vertices D(1, 2), E(3, 4), and F(1,4), is reflected across the y-axis, and then its image is reflected across the line y = x. Which single transformation moves the triangle from its starting position to its final position?
Answer:
Reflect over the x-axis
The single transformation of the given triangle will be rotation clockwise 90°.
What is the transformation of graphs?The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation.
Graph reflection is the mirror image of a graph across any axis.
For example reflection of y = x about the x-axis like that.
Given vertices has plotted below.
As it is clear that if we rotate by 90° clockwise then we will get reflected across the line y = x.
For more information transformation of the graph,
https://brainly.com/question/3099136
#SPJ2
Select the correct answer.
How does Gary's character reflect the passage's theme?
A.
The character's dialogue reveals that heroes are people of very few words.
B.
The character demonstrates that all kids are afraid of being caught skipping class.
C.
The character illustrates that bullies do not care whom they push around.
D.
The character's transformation shows that the unlikeliest of people can be heroes.
Answer:
D?
Step-by-step explanation:
I think so
Answer:
D.The character's transformation shows that the unlikeliest of people can be heroes.
Helpp me pls for this one
Answer:
5
Step-by-step explanation:
Please help me with this is really important here is the picture
Answer:
constant speed 35
Step-by-step explanation:
at 1 hour its above 35. its a constant speed because its a straight line. is that complete enough for you moderator
the answer is the speed is 35
A cab company charges $5 per cab ride, plus an additional $1 per mile driven. How long is a cab ride that costs $14?
Answer:
The answer is 9 miles.
Step-by-step explanation:
14-5=9.
Answer:
9 miles
Step-by-step explanation:
So if you pay $5 for the cab ride then 1$ for every mile driven and you have to pay a total of $14 you go 14-5=9
What is the greatest common factor of 28 and 49
Answer:
7 is the greatest comman factor of 28 and 49
The two tables below show the amount of tip,y, included on a bill charging x dollars.which compared the slopes of the lines created by the tables?
Answer:
Need more information
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
I got it right on the test
Marco is discussing how prices have changed with his son, Paul. Paul does not believe him, so they decide to research the price of their favorite food items. Use the information below to determine the percent change in the question below. Round your answers to nearest tenths place.
What is the percent of change in the cost of a hot dog? il mark you brainly
Answer:
devide them by each other and then when it is deamal form put it in %
:)
Step-by-step explanation:
Brainliest plz
Answer:
Cost of the Pizza is 20%
Cost of the Cheeseburger is 30%
Cost of the Fries is 125%
Step-by-step explanation:
Is this isosceles triangle acute or equiangular?
Answer:
Equiangular triangle
Step-by-step explanation:
Fine the values of x and y
Answer:
x=5 and y=1
Step-by-step explanation:
Determine if the two triangles are congruent. If they are, state how you know.
A) Not enough information
B) SAS
C) ASA
D) SSS
Answer:
(i think) they are congruent
Step-by-step explanation:
The tick marks show that they are congruent by SSS
Determine the equation of the line represented in the graph below.
y = 2/3x - 1
y = 3/2x - 1
y = 2/3x + 1
y = 3/2x + 1
Answer:
2/3x-1
Step-by-step explanation:
plzzzzzz help me Find the slope when given the following points. 2) (2, 1) and (5, 3)
Answer:
2/3
Step-by-step explanation:
3-1/5-2=
2/3
what is an equation of the line that is parallel to y=-5x+6 and passes through the point (-4,-1)
Answer:
y= -5x - 21
Step-by-step explanation:
parallel lines have the same slope, so you know the slope.
you need to use the point slope formula y-y1=m(x-x1)
with this equation, this looks like y - -1 =- 5(x - -4)
double negatives are positives, so to keep this easier on the eyes, let's make it y + 1= -5(x + 4)
distribute the -5. you should get y + 1 = -5x - 20
subtract 1 to move it from the left side to the right and you get your answer!
y = -5x - 21
The figure below shows two pair of congruent triangles. ΔFDE≅ _____. ΔYXW ΔXYW ΔWYX ΔWXY
Answer:
WYX
Step-by-step explanation:
Answer:
wxy
Step-by-step explanation:bc it is
Anna invested $28,000 in an account paying an interest rate of 6.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $39,500?
Answer:
It will take 5.3 years to reach $39,500
Step-by-step explanation:
Compound Interest
It occurs when the interest is reinvested rather than paying it out.
Interest in the next compound period is then earned on the principal sum plus the previously accumulated interest.
The formula is:
[tex]\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
We are required to find the time needed to convert the principal P into a given final amount.
Solving the above equation for t, we get:
[tex]\displaystyle t=\frac{log(A/P)}{n\cdot log\left(1+r/n\right)}[/tex]
Anne invested P=$28,000 in an account at r=6.5%=0.065 compounded daily. There are 360 days in a year, so n=360. The final amount A=$39,500.
Substituting into the formula:
[tex]\displaystyle t=\frac{log(39,500/28,000)}{360\cdot log\left(1+0.065/360\right)}[/tex]
t=5.3 years
It will take 5.3 years to reach $39,500
Answer:5.3
Step-by-step explanation:
The municipal swimming pool in Charlotte North Carolina has a three different ways of paying for individual open swimming. Nick is trying to decide which way to pay period early pay: $45 before memorial day, swim any number of days. Deposit plus : eight dollars deposit +3 dollars per day. Daily pay: four dollars a day. Fill in the table with the cost to swim to given number of days each amount should be the total cost swim that number of days, including the deposit if applicable
Answer:
1. a Early Pay: y = 45
b. Deposit Plus: y = 12.00 + 4.00x
c. Daily Pay: y = 6.00x
2. Early pay = $25
Deposit Plus = 12.00 + 4.00(4) = 12.00 + 16.00 = $28.00
Daily Pay = 6.00(4) = $24.00
Daily Pay is the cheapest one.
3. Early Pay = $45
Deposit Plus = 12.00 + 4.00(8) = 12.00 + 32.00 = $44.00
Daily Pay = 6.00(8) = $48.00
Deposit Plus is the cheapest one.
4. Early Pay = $45
Deposit Plus = 12.00 + 4.00(12) = 12.00 + 48.00 = $60.00
Daily Pay = 6.00(12) = $72.00
Early Pay is the cheapest one.
5. Since Jane likes to swim most days, it would be cheaper for her to do the Early pay option, because the price is a one time fee and she can swim every day.
Since Suzy doesn't really like to go swimming and might only go a couple times, it would be best for her to do the daily pay, that way she didn't spend any money up front if she doesn't swim at all.
Step-by-step explanation:
anyone know this ? for math , thank you
Answer: The y=2
Step-by-step explanation:
You should see the picture and I don’t want to type it out so just look at it and there the question. Also I’m giving brainist
Answer:
The answer is option B: a < -21 1/3
Step-by-step explanation:
You can use a calculator to divide -16 by 3/4. Since it is an inequality, multiplication or division causes you to flip the sign.
Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities
We want to imagine where the shading should be, and with that determine which point is a solution for both inequalities. We will see that the solution is the point (7, -8)
Interpreting inequalities:
In this case, the inqualities are:
y < -x + 1y < (-1/2)*x - 1You can see that in both cases, y is smaller than the line, thus, for both inequalities, we must shade the part that is below the lines.
With that in mind, the region of solution will be the region that is below both lines at the same time, and that region will be the "triangle" that you can see at the middle below the horizontal axis.
Now that we know the region of solutions, we only need to see which point belongs there, from the given options the only that belongs to that region is the point (7, -8), which means that this point is a solution for both inequalities.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/11234618
Which statement most accurately describes what happens when a bar of chocolate melts? A. A physical change takes place that causes molecules to move slower. B. A physical change takes place that causes molecules to move faster. C. A chemical change takes place that causes molecules to move faster. D. A chemical change takes place that causes molecules to move slower.
Answer:
(B). A physical change takes place that causes molecules to move faster
Step-by-step explanation:
When a bar of chocolate melts its physical form is changed, there is no difference in its chemical composition as it is still same.
When the chocolate bar was frozen its molecules were held strongly, and they were barely moving, whereas when it melts the molecules are more free to move now.
What quadrant does -495 lie in?
I Got renegade Raider From Fortnite For Free add me and like heart me if you want to learn how to get it
Answer:
that's fake right?
Step-by-step explanation:
¯\_(ツ)_/¯
somebody pleaseee help it’s due today
Answer:
-189
Step-by-step explanation:
You substitute the x for -7 and put it into a calculator.
Anyone know how to do this? pls explain how