The amount earned as commission in 2011 is $44928
How to determine the amount earned as commission?From the question, we have the following parameters that can be used in our computation:
Commission percentage = 12%
Average sales per week = $7200
The amount earned as commission in the 2011 is then calculated as
Amount = Commission percentage x Average sales per week x Number of weeks
Substitute the known values in the above equation
So, we have
Amount = 12% x 7200 x 52
Evaluate
Amount = 44928
Hence, the commission amount is $44928
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A regular polygon is shown with one of its angle measures labeled a.
5 sided regular polygon with one angle labeled a
If m∠a = (3z + 72)°, find the value of z.
z = 9
z = 12
z = 24
z = 32
Answer:
B) z = 12===========================
Sum of interior angles of a regular polygon is:
S = 180(n - 2), where n- sides of polygonFind the measure of interior angle a:
a = S/5 = 180(5 - 2)/5 = 540/5 = 108Equate the values of angle a and solve for z:
3z + 72 = 1083z = 108 - 723z = 36z = 12Correct choice is B.
Answer:
z = 12
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{5.4 cm}\underline{Interior angle of a regular polygon}\\\\$\dfrac{180^{\circ}(n-2)}{n}$\\\\where $n$ is the number of sides.\\\end{minipage}}[/tex]
Given that the regular polygon has 5 sides, then the measure of one interior angle is:
[tex]\implies \dfrac{180^{\circ}(5-2)}{5}=\dfrac{180^{\circ}(3)}{5}=\dfrac{540^{\circ}}{5}=108^{\circ}[/tex]
If "a" is the measure of one angle, and m∠a = (3z + 72)° then:
[tex]\implies m \angle a=108^{\circ}[/tex]
[tex]\implies (3z+72)^{\circ}=108^{\circ}[/tex]
[tex]\implies 3z+72=108[/tex]
[tex]\implies 3z+72-72=108-72[/tex]
[tex]\implies 3z=36[/tex]
[tex]\implies \dfrac{3z}{3}=\dfrac{36}{3}[/tex]
[tex]\implies z=12[/tex]
[tex]A(50)=266(1/2)^{50/30}[/tex]
the answer is 83.7; rounded up to 84
i dont understand why this is the answer; can anyone explain to me what steps i have to do first? ty!! (if there's 2 people that answered, ill give brainliest to the smartest answer that helps me understand why 84's the answer)
Given: line m represented by
Y= 3/4x + 2
Match each of the following equations to the term that accurately described its relationship to line m.
Answer:
Neither, Perpendicular, Parallel, Neither
Step-by-step explanation:
Parallel lines have the same slope.
Perpendicular lines have slopes that are negative reciprocals.
Find X FIND Y
PlEase Help me
The X and Y angles created by lines intersection in the pictures are 18° and 54°.
Based on the picture, angle ∠MON is a right angle hence it has an 90° angle. We then know that the ∠MOA is 72°. Because angle ∠MOA lies within the angle ∠MON, hence we can write the following formula:
∠MON = ∠MOA +∠AON = 90°
∠MON = 72° + ∠AON = 90°
∠AON = 18° ... (i)
If we focus on the line CD being intersected by the line AB, hence we can conclude that the angles form by this intersection will follow these rules:
∠AOD = ∠BOC
∠AOC = ∠BOD
∠AOD + AOC = 180°
∠BOC + ∠BOD = 180°
Based on the picture, we know that:
∠BOC = x
∠AOC = ∠MOA + ∠MOC
∠AOC = 72° + y ...(ii)
∠AOD = ∠AON + ∠NOD
∠AOD = 18° +2x
∠BOC = 3x ... (iii)
Because we already know that ∠BOC = AOD, hence we could rewrite the formula into:
∠BOC = ∠AOD
3x = 18° + 2x
x = 18° ... (iv)
To find the value of y, we need to focus on angle ∠AOC. Based on the previous calculations and formulas, we know that:
∠AOC + ∠BOC = 180° ... (v)
Input equations (ii) and (iv) into (v)
∠AOC + ∠BOC = 180°
(72° + y) + 3x = 180°
72° + y + 3(18°) = 180°
126° + y = 180°
y = 54° ... (vi)
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Find the sale price when the original price is $37. 00 and the discount rate is 44%. A. $20. 72 c. $35. 37 b. $16. 28 d. $1. 63.
Answer:
$16.28
Step-by-step explanation:
44.%
Move the decimal up by two numbers to get a whole number, .44
and multiply .44 by $37
$15 a share. A month later, it was
selling at $27 a share. What is
the percent increase?
Answer: 0.555555556
Step-by-step explanation:
15/27=0.555555556
Checking work by plugging it in: 27x0.555555556=15
======================================================
Work Shown:
a = old value = 15
b = new value = 27
c = change in values
c = b-a
c = 27-15
c = 12
The positive c value tells us that we have an increase.
Then divide over the starting value a = 15
c/a = 12/15 = 0.80
Move the decimal point two spots to the right to go from 0.80 to 80%
Or multiply 0.80 with 100% to get 0.80*100% = 80%
We have a percent increase of 80%
-------------------
Check:
80% of 15 = 0.80*15 = 12
If the stock increases by 80%, then it has increased by $12 to go from $15 a share to 15+12 = 27 dollars a share. This confirms the answer.
A slight shortcut would be to say 1.80*15 = 27
The multiplier 1.80 represents an increase of 80% since 100% + 80% = 1 + 0.80 = 1.80
write an equation passing through the point and parallel to the given line? (6, 10); 2x + 2y = -8
Answer:
y=-x+16
Step-by-step explanation:
let’s put this equation in slope intercept form: y=mx+b
2x+2y=-8
-2x. -2x
2y=-2x-8
/2. /2. /2
y=-x-4
We know parallel lines have the same slope as each other so let’s fill in the equation with the given point
10=-(6)-4
10=-10
We need to add 20 more to the y intercept to make this true like this
y=-x-4+20
y=-x+16
Now let’s see if it works
10=-(6)+16
10=10
It works so this is the equation
Hopes this helps please mark brainliest
Answer: y = -x +16
Step-by-step explanation:
rearrange the equation to make y the subject
2y = -2x -8
y = -x-4
equation of line parallel to the line (gradient will be the same)
y = -x +c
Substitute the x and y values into the parallel line equation
10 = -6 + c
10 + 6 = c
16 = c
Therefore, the equation of the line parallel to 2x + 2y = -8 is y = -x +16
Please I need help please
After solving the value of x is 14.048.
Given:
KM represents an angle bisector.
Let y be the length of KM.
From the figure:
[tex]12.3^{2} = 5.4^{2} +y^{2}[/tex]
151.29 - 29.16 = [tex]y^{2}[/tex]
130.13 = [tex]y^{2}[/tex]
y = 11.407
[tex]x^{2} =8.2^{2} +11.407^{2}[/tex]
= 67.24 + 130.13
= [tex]\sqrt{197.37}[/tex]
x = 14.048.
Therefore After solving the value of x is 14.048.
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Ricky has two barrels of water one contains 12 gallons of rainwater and one is being filled at the rate of 2 1/3 gallons per week the second barrel has 42 gallons of rainwater and is being used to water the crops at a rate of one and 5/6 gallon per week about how many weeks will it take before the two barrels are at the same level
Answer:
7.2 weeks
Step-by-step explanation:
12 + [tex]\frac{7}{3}[/tex] x = 42 - [tex]\frac{11}{6}[/tex]x Multiply all the way through by 6 to clear the fractions
72 + 14x = 252 -11x Add 11x to both sides
72 + 25x = 252 Subtract 72 from both sides
25x = 180 Divide both sides by 25
x = 7.2
When I am added to -6 The result is 18 who am I
Answer:
I think 24
Step-by-step explanation:
-6 + 24 =18
Marcelo was practicing penalty shots during soccer practice. Marcelo made 10 out of 25 of the shots he attempted. If Marcelo missed 30 shots, how many total shots did he take?
Marcelo will have to take 50 shots in order to miss 30 shots because the ratio of shots to missed shots is 5:3
Proportions and RatiosA ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
To solve this question, we can simply compare the ratio or proportion of shots to the number of missed shots.
In every 25 shots taken, he made 10 shots. This implies he lose 15 shots.
So, for every 25 shots, he lost 15 shots.
How many shots did he take to miss 30 shots.
25 shots = 15 missed shots
x shots = 30 missed shots
crossed multiply both sides and solve for x
x = (30 * 25) / 15
x = 50 shots.
Marcelo took 50 shots.
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please help me with this
also, I have nothing to do... any suggestions?
Answer:
[tex]l=\frac{A}{W}\\[/tex]
Step-by-step explanation:
Sometimes we have to manipulate a variable this is often easier to do when we solve for the variable we want and input numbers into the rest of the equation
Let's say A=16 and w=8
Solving for l would me using the A=lw and inputing those values
A=lw
16=l(8)
[tex]\frac{16}{8}=\frac{8l}{8}[/tex]
[tex]l=\frac{16}{8} \\[/tex] or [tex]l=2[/tex]
If A = 16 and w = 8, we could substitute those values into the original equation(A=lw) and say that
[tex]l=\frac{A}{W}[/tex]
Sometimes we have to manipulate a variable.
This is often easier to do when we solve for the variable we want and input numbers into the rest of the equation.
I hope this explanation is helpful :)
i love math
1) John noticed that the amount he was paying for his lunch was a rearrangement of the digits of the amount of money he had in his pocket, and that the money he had left over was yet another rearrangement of the same three digits! How much money did John start with?
2) A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain. How many cards are there?
There doesn't seem to be enough information to answer problem 1.
I would ask your teacher for clarification.
=============================================
Problem 2
Answer: 47 cards--------------------------
Explanation
x = number of cards, which is some positive whole number.
Your teacher has provided these facts:
If I deal among four people, three cards remain. If I deal among three people, two cards remain.If I deal among five people, two cards remain.which I'll call "fact 1", "fact 2", "fact 3" in that order.
For now I'll focus on fact 3.
Recall that multiples of 5 either end with 0 or 5. Example: 25 is a multiple of 5, and so is 60.
Fact 3 says that we get a remainder 2 when dividing by 5. Therefore, x must be something like 25+2 = 27 or 60+2 = 62. I added 2 to each previous example mentioned earlier.
In short, the value of x must end with 2 or 7.
-------------------
Now focus on fact 1.
The multiples of 4 are {4, 8, 12, ...} all of which are even since 2 is a factor of each.
Add remainder 3 to each item to get {7, 11, 15, ...} and it should be fairly obvious that all of these items are odd.
What does this mean? It means we know 100% that x ends with 7 in the units digit. If x has 2 in the units digit, then x would be even, but it's not in the set {7, 11, 15, ...}
So this is very useful info that x ends with 7.
x could be any of these: {7, 17, 27, 37, ...}
-------------------
We've looked at facts 1 and 3 so far. The only thing left is fact 2.
List the multiples of 3 to get
{3, 6, 9, 12, 15, 18, ...}
then add on the remainder 2 giving this new updated set
{5, 8, 11, 14, 17, 20, ...}
We see that 17 is in that set which fits the criteria of "the number ends with 7". So it's possible that 17 is the answer.
But 17/4 = 4 remainder 1 which doesn't fit fact 1 (since we want remainder 3 instead).
But we can add on multiples of 3*5 = 15 to extend to this new set of
{17, 32, 47, 62, 77, ...}
then erase stuff that ends with 2 to get
{17, 47, 77, ...}
Through guess and check, 47 will work out as shown in the next section below. Therefore, 47 is the final answer.
-------------------
Check:
47/4 = 11 remainder 347/3 = 15 remainder 247/5 = 9 remainder 2We get the proper remainders mentioned earlier, so the answer has been confirmed.
-------------------
Side note: The convention for problems like this is to use the Chinese Remainder Theorem. However, I decided not to use it because I wasn't sure if your teacher has covered modulo arithmetic yet or not. If s/he has covered it, then I recommend using that method instead of what I posted above. It's a much more efficient option.
Solve the equation. 2 + |t + 6| = 12
Question 10 options:
[4, -11]
[4, 11]
[-16, 4]
[-4, 16]
Answer:
c) [-16, 4]
Step-by-step explanation:
Given equation,
→ 2 + |t + 6| = 12
Now the value of t will be,
→ 2 + |t + 6| = 12
→ 2 + t + 6 = 12 || → 2 -(t + 6) = 12
→ t + 8 = 12 || → -t - 4 = 12
→ t = 12 - 8 || → -t = 12 + 4
→ [ t = 4 ] || → [ t = -16 ]
Hence, value of t is 4 (or) -16.
which equation represents a liner function? y=-4x+5; y=x^3; y=-3x^2+2;y=2x^2
Answer:
y=-4x+5;
Step-by-step explanation:
the linear functions are represented by the power of x as 1
Answer:
y=-4x+5
Step-by-step explanation:
the degree of the variable(x) in the function is 1.
PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!!
Solve this system of equations using the LINEAR COMBINATION method, then answer the questions below.
2x - y = - 4 6x + 5y = 4
• What did you get for the (x, y) solution to this system? (2.5 points)
• Explain what you did to create a pair of opposites so that you could combine the equations. (2.5 points)
Answer:( 3.5 , -2 )
Step-by-step explanation:
PLEASE HELP (BRAINLIEST IF CORRECT) - INVERSE DERIVATIVES
Answer:
h(3)=4
Step-by-step explanation:
Giovanni can read 300 words per minute. If there are approximately 350 words on a page, about how many pages can he read in 2 hours?
The number of pages Giovanni can read in 2 hours is approximately 103.
How to find the number of pages he can read in 2 hours?Giovanni can read 300 words per minute. There are approximately 350 words on a page.
The number of pages he can read in 2 hours can be calculated as follows:
Therefore,
1 hour = 60 minutes
2 hours = 120 minutes.
Therefore,
1 minute = 300 words
120 minutes = ?
cross multiply
number of words he can read in 2 hours = 120 × 300 = 36000
350 words = 1 page
36000 words = ?
cross multiply
number of pages he read in 2 hours = 36000 / 350
number of pages he read in 2 hours = 102.857142857
Therefore, he read about 103 pages in 2 hours.
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Pls help me with this question it would be very appreciated <3
Write down all the whole numbers between 25 and 50 and have a difference of 4 between their digits
Answer:
Step-by-step explanation: I don’t know if this is what your asking for but 26, 37, 48.
A washing machine is priced at $450. A man buys the washing machine on HP according to the following terms: A deposit of 15% and the remaining to be paid in monthly
installment over 2 years at a simple interest rate of 10 2 % per annum. Calculate his monthly income
The monthly installment to be paid is $17.85.
Given:
A washing machine is priced at $450. A man buys the washing machine on HP according to the following terms: A deposit of 15% and the remaining to be paid in monthly installment over 2 years at a simple interest rate of 12 % per annum.
Remaining amount = 450 - 450*15/100
= 450 - 9*15/2
= 450 - 67.5
= $382.5
1 month amount = 382.5 + 382.5*0.12 / 24
= 428.4/24
= $17.85.
Therefore the monthly installment to be paid is $17.85.
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help find the area im putting a lot of points up
Solve the following system of equations with the substitution method:
√x + y
ly
=
4
3x
Somebody help please
The value x is 1 and y is 3.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
x+ y = 4
y= 3x
Now solving above equations
x+ 3x = 4
4x = 4
x= 1
and, y = 3x = 3
Hence, the value x is 1 and y is 3.
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5 1/3 divided by 2 2/3
Answer:
2
Step-by-step explanation:
first turn the fractions improper to get 16/3 divided by 8/3
then keep the first fraction the same but flip the second fraction and change divide to multiply to get 16/3 times 3/8
last multiply across to get 48/24 then simplify to get 2
2
Step-by-step explanation:
[tex] \frac{ 5\frac{1}{3} }{2 \frac{2}{3} } [/tex]
[tex] = \frac{ \frac{15 + 1}{3} }{ \frac{6 + 2}{3} } [/tex]
[tex] = \frac{ \frac{16}{3} }{ \frac{8}{3} } [/tex]
Shift denominator term i.e. 8/3 to numerator. Then, the fraction will be get reciprocal i.e. 8/3 to 3/8.
[tex] \frac{16}{3} \times \frac{3}{8} [/tex]
[tex] = { \red{ \tt{ \frac{ \cancel{48^{2}}}{ \cancel {24}_{1}}}}}[/tex]
= 2
macie has 36 photos of kekinga, her favourite gorilla at the calgary zoo she wants to arrange the photos in groups that have equal number of rows and columns.
Answer:
6×6
Step-by-step explanation:
6×6=36 and so it would be 6 rows and 6 columns.
It takes Kade 6 hours to clean the gym. It takes Cade 7 hours to clean the same gym. How long would it take Kade and Cade if they work together? Sat up the equation to solve this problem.
PLEASE HELP
These box plots show the prices for two different brands of shoes.
Which statement is the most appropriate comparison of the spreads?
By using the box plots, the statement that is most appropriate comparison of the spread is option D. The interquartile range (IQR) for brand A, $10, is less than the IQR for brand B, $25.
Box plot
A box plot refers the a type of chart often used in explanatory data analysis and it visually show the distribution of numerical data and skewness through displaying the data quartiles (or percentiles) and averages.
Given,
Here we have the box plot that contains the details about the comparison of spread.
Now, we have to find the statement is the most appropriate comparison of the spreads
In the given box plots, we have identified that the
Lower quartile of A = 70
Upper quartile of A = 80
Similarly,
Lower quartile of B = 25
Upper quartile of B = 50
Then the inter quartile is calculated as,
Brand A has interquartile range = 80- 70 =10,
Where as
Brand B has interquartile range = 50 - 25 = 25.
Therefore, the option D is correct.
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8th grade math! (Picture attatched)
The equations that represent the left side, right side, top side and bottom side are y = 3x+2, y = 3x-10, y = 5 and y = -1 respectively
How to write the equation that represents each side of the figure?The slope-intercept form of the equation of a line is y =mx+c,
where m is the slope and c is the y-intercept
slope(m) = y2-y1 / x2-x1
Left side
The line moves from point 1 (-1, -1) to point 2 (1,5)
x1 = -1, y1 = -1 and x2 = 1, y2 = 5
Slope(m) = 5-(-1) / 1-(-1) = 6/2 = 3
Using the equation of a line for 2 points:
y-y1 = m(x-x1)
y-(-1) = 3(x-(-1))
y+1 = 3(x+1)
y+1 = 3x+3
y = 3x+2
Right side
The line moves from point 1 (3, -1) to point 2 (5,5)
Slope(m) = 5-(-1) / 5-3 = 6/2 = 3
y-(-1) = 3(x-3)
y+1 = 3x -9
y = 3x-10
Top side
y = 5
Bottom side
y = -1
Therefore, equation for the left side : y = 3x+2, equation for the right side: y = 3x-10, equation for the top side: y = 5 and equation for the bottom side: y = -1
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an integer between 1000 and 9999, inclusive, is called balanced if the sum of its two leftmost digits equals the sum of its two rightmost digits. how many balanced integers are there?
An integer between 1000 and 9999 inclusive is called balanced if the sum of its two leftmost digits equals the sum of its two right most digit. Therefore, there are 615 balanced integers .
If the common sum of the first two and last two digits is n ,
such that 1 ≤n ≤ 9 , there are n choices for the first two digits and n +1 choices for the second two digits (since zero may not be the first digit).
This gives:
∑⁹ₙ₋₁ n(n+1) balanced numbers.
If the common sum of the first two and last two digits is n, such that:
10≤ n ≤ 18
there are 19 - n choices for both pairs.
This gives : ∑ₙ ₁₀¹⁸ ( 19 - n)²
= ∑₁⁹ n²
= 285balanced numbers.
Thus, there are in total 330 + 285 = 615 balanced numbers.
Both summations may be calculated using the formula for the sum of consecutive squares, namely:
∑₁ⁿ k² = n (n+1) (2n + 1) / 6
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Find the area of the triangle pictured above.
Round your answer to the nearest tenth
Question Help: Video
1. Is the game fair? We are flipping a coin twice. The first player wins if we get 2 tails, and the second player wins if we get 1 head and 1 tail. 2. Is the game fair? we are tossing two dice and the first player wins if the sum on the dice is 9 and the second player wins if the sum on the dice is 5.
The classification of each game as fair or not, using probabilities, is given as follows:
1. Fair.
2. Fair.
What is a fair game?A fair game is a game in which each competitor will have the same chance of winning the game.
These changes are calculated using probabilities, which is the number of desired outcomes in the context of the experiment divided by the number of total outcomes.
The probability of two tails when two fair coins are tossed is:
p = 1/2 x 1/2 = 1/4.
The probability of one head and one tail when two fair coins are tossed is:
p = 1/2 x 1/2 = 1/4.
In game 1, the two players have the same probability of winning, hence it is a fair game.
When two dice are thrown, there are 36 possible outcomes. The number of outcomes regarding the sums are given as follows:
Sum of 9: (3, 6), (4,5), (5,4), (6,3) -> 4 outcomes -> 1/9 probability.Sum of 5: (1,4), (2,3), (3,2), (4,1) -> 4 outcomes -> 1/9 probability.Same probabilities, hence game 2 is also fair.
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