Answer:
Commission in March = $648
Commission in 2011 = $33696
Step-by-step explanation:
Given
[tex]Stocks = \$5400[/tex]
[tex]Commission = 12\%[/tex]
Required
- Determine the amount of commission
- Determine the amount of commission in 2011
This is calculated as
[tex]Amount = Commission * Stocks[/tex]
[tex]Amount = 12\% * 5400[/tex]
[tex]Amount = 0.12 * 5400[/tex]
[tex]Amount = \$648[/tex]
Since the number of weeks in a year is 52.
[tex]Yearly\ Commission = 52 * \$648[/tex]
[tex]Yearly\ Commission = \$33696[/tex]
A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin’s work and find his error.
After multiplying a calculator screen displays the answer is shown below. How would you write this number in standard form? And say your answer in the box. Include commas in your answer.
*you’ll receive brainliest & 15 points for answer quickly & correctly!*
8,234 E14
Answer:
In standard from, the value will be 8.234 * 10^17
Step-by-step explanation:
The answer shown on the screen of the calculator after multiplying is;
8,234 E14
This is same as;
8,234 * 10^14
In the stands from, this will be;
8.234 * 10^3 * 10^14 = 8.234 * 10^17
A scale drawing for a plot of land is shown below. In the drawing, 3 cm represents 4 m. Assuming the backyard is rectangular, find the area of the real backyard
Answer:
[scale]=[drawing]/[real]-----------> [real]=[drawing]/[scale]
scale=3 cm/ 4 m------> 0.75 cm/m
the dimensions of backyard in the drawing are 9 cm x 6 cm
step 1
find the real dimensions of backyard
for 9 cm
[real]=[drawing]/[scale]
[real]=[9]/[0.75]----------> 12 m
for 6 cm
[real]=[drawing]/[scale]
[real]=[6]/[0.75]----------> 8 m
so
the real dimensions of backyard are 8 m x 12 m
[the area of the real backyard ]=8*12--------> 96 m²
the answer is 96 m²
need some help with the question in the image
Step-by-step explanation:
cost of 1 kg of jam = x
cost of 1 kg of butter = y
3x + 2y = 29 .....1
6x + 3y = 54 .....2
.....1 × 2 both sides of equation
6x + 4y = 58 .....3
.....3 - ......2
y = 4
replace y = 4 in 1......
3x + 8 = 29
x = 7
What is the slope (3, 0) 5,14)
Answer:
7
Step-by-step explanation:
y2-y1/x2-x1= 14-0/5-3 14/2=7
Does the fraction 1/2 make the equation +6/6=3/2 true?
Answer:
Yes
Step-by-step explanation:
1/2 + 6/6
= (1*3)/(2*3) + 6/6
= 3/6 + 6/6
= 9/6
= 3/2
So the fraction 1/2 make the equation true.
Let's check
[tex]\\ \rm\Rrightarrow 6/6+1/2[/tex]
[tex]\\ \rm\Rrightarrow 1+1/2[/tex]
[tex]\\ \rm\Rrightarrow 2+1/2[/tex]
[tex]\\ \rm\Rrightarrow 3/2[/tex]
Yes true
Find the value of
[tex]\\ \rm\Rrightarrow {6+log_{\frac{3}{2}}\left(\dfrac{1}{3\sqrt{2}}\sqrt{4-\dfrac{1}{3\sqrt{2}}\sqrt{4-\dfrac{1}{3\sqrt{2}}\sqrt{4-\dfrac{1}{3\sqrt{2}}\dots}}}\right)}[/tex]
Options are
[tex]\sf \circ -4[/tex]
[tex]\sf \circ 1[/tex]
[tex]\sf \circ 4[/tex]
[tex]\sf \circ 2[/tex]
Note:-
Kindly don't answer wrong if you don't know .
Spams/copied from web/short/wrong/irrelevant answers will be deleted on the spot .
Answer:
4
Step-by-step explanation:
Given,
[tex]6+log\frac{3}{2} (\frac{1}{3\sqrt{2} } \sqrt{4-\frac{1}{3\sqrt{2} }\sqrt{4-\frac{1}{3\sqrt{2} } ...} }[/tex]
Let,
[tex]x= \sqrt{4-\frac{1}{3\sqrt{2} }\sqrt{4-\frac{1}{3\sqrt{2} }\\[/tex]
By this we get
[tex]x=\sqrt{4-\frac{1}{3\sqrt{2} }(x) } }[/tex]
On squaring both sides,
[tex]x^{2} =4-\frac{1}{3\sqrt{2} }(x) } }\\\\x^{2} -4+\frac{x}{3\sqrt{2} } =0\\\\3\sqrt{2} x^{2} -12\sqrt{2} +x=0\\\\x=\frac{-1+\sqrt{1-(-12\sqrt{2})*(3\sqrt{2})*4 } }{2*3\sqrt{2} } \\\\x=\frac{-1+\sqrt{289} }{6\sqrt{2} } \\\\x=\frac{-1+17}{6\sqrt{2} } \\\\x=\frac{8}{3\sqrt{2} }[/tex]
Now,
[tex]6+log\frac{3}{2} [\frac{1}{3\sqrt{2} } *\frac{8}{3\sqrt{2} } ]+log\frac{3}{2} *[\frac{8}{9*2} ]\\\\6+log\frac{3}{2}(\frac{4}{9} )\\\\6-log\frac{3}{2}(\frac{9}{4} )\\\\6-log\frac{3}{2} (\frac{3}{2})^2 \\\\6-2=4[/tex]
[tex]\sqrt{4 - \dfrac1{3\sqrt2} \sqrt{4 - \dfrac1{3\sqrt2} \sqrt{4 - \dfrac1{3\sqrt2} \sqrt{\cdots}}}}[/tex]
Starting from the identity
[tex](x - y)^2 = x^2 - 2xy + y^2[/tex]
take the positive square root on both sides.
[tex]x - y = \sqrt{x^2 - 2xy + y^2}[/tex]
Note that we must have [tex]x\ge y[/tex]. Rewrite the radicand and substitute [tex]x-y[/tex].
[tex]x - y = \sqrt{x^2 - xy - y (x - y)} \\\\ ~~~~ = \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y (x - y)}} \\\\ ~~~~ = \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y (x - y)}}} \\\\ ~~~~ \vdots \\\\ ~~~~ = \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y \sqrt{\cdots}}}}[/tex]
Let [tex]y=\frac1{3\sqrt2}[/tex]. Solve for [tex]x[/tex].
[tex]x^2 - \dfrac x{3\sqrt2} = 4 \\\\ x^2 - \dfrac x{3\sqrt2} + \dfrac1{72} = \dfrac{289}{72} \\\\ \left(x - \dfrac1{6\sqrt2}\right)^2 = \dfrac{289}{72} \\\\ x - \dfrac1{6\sqrt2} = \pm \dfrac{17}{6\sqrt2} \\\\ x = \dfrac{18}{6\sqrt2} \text{ or } x = -\dfrac{16}{6\sqrt2} \\\\ x = \dfrac3{\sqrt2} \text{ or } x = -\dfrac8{3\sqrt2}[/tex]
Take the positive solution to ensure [tex]x>y[/tex]. Then the infinitely nested root expression in the logarithm converges to
[tex]x - y = \dfrac3{\sqrt2} - \dfrac1{3\sqrt2} = \dfrac{4\sqrt2}3[/tex]
and the overall expression has a value of
[tex]6 + \log_{\frac32} \left(\dfrac1{3\sqrt2} \times \dfrac{4\sqrt2}3\right) = 6 + \log_{\frac32} \left(\dfrac49\right) \\\\ ~~~~ = 6 + \log_{\frac32} \left(\dfrac23\right)^2 \\\\ ~~~~ = 6 - 2 \log_{\frac32} \left(\dfrac32\right) \\\\ ~~~~ = 6 - 2 = \boxed{4}[/tex]
What is the X and Y of this??????
Answer:
see attached for a graph
Step-by-step explanation:
It looks like you want to plot a graph of the function. For a piecewise function like this one, the effort is divided into pieces. The "or equal to" part of the comparison symbol tells you the end value is included in that interval.
__
For the piece between x=-8 and x=-6, you can find the y-values by evaluating the function for those x-values.
For x = -8: y = -1/2(-8) = 4.
For x = -6: y = -1/2(-6) = 3.
So, the left piece can be plotted by drawing a line segment between points (-8, 4) and (-6, 3).
__
For the piece between x=-6 and x=1, you can do the same thing:
For x=-6: y = -(-6) -3) = 6-3 = 3
For x=1: y = -(1) -3 = -4
So, the right piece can be plotted by drawing a line segment between points (-6, 3) and (1, -4). We notice that (-6, 3) is already the end point of the first piece, so the function is continuous at x=-6. (Sometimes there is a discontinuity between pieces. Not here.)
You can also plot the right piece by recognizing it is a line with a y-intercept of -3 and a slope of -1. That is, point (0, -3) will be on that line, and it will have a "rise" of -1 for each "run" of 1 (to the right).
__
A graph is shown. We have made the pieces different colors, so you can see what they are. And we have plotted a filled dot at (-6, 3) to indicate that point is part of the function definition. (The dot is unnecessary.)
1/2% of 567.375 is what?
Answer:
2.837%
Step-by-step explanation:
1/2 ×567.375/100
therefore= 2.837%
A snowstorm dumped 18 inches of snow in a 12-hour period. How many inches were falling per hour?
Answer:
1.5 inches
Step-by-step explanation:
18 divided by 12 = 1.5
Which of these statements best describes a biased sample?
A. The sample is small
B. The sample has results that are incorrect predictions
C. The sample does not accurately represent the population
D. The sample was chosen randomly
A biased sample is best described by:
C. The sample does not accurately represent the population.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample, which is a group of members of this population. The sample has to be representative of the population, that is, it has to involve all of it's groups. If it does not involve all the groups, it is not an accurate representation of the population, and is called biased, hence option C is correct.
More can be learned about sampling at https://brainly.com/question/25122507
Can anyone please help me??
Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Answer parts a and b.
a. Arnie buys a 32-oz can of red paint. Does he have enough red paint to make 3 cups of dark orange paint and 3 cups of light orange paint? Explain.
Yes.
The 3 cups of dark orange paint require
21
21 ounce(s) of red paint, and the 3 cups of light orange paint require
9
4.5 ounce(s) of red paint. Arnie needs
30
25.5 ounce(s) of red paint in total, so the 32-oz can is
enough.
(Type integers or decimals.)
b. Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint. How many ounces of yellow paint does he need?
Arnie needs
4216
nothing ounce(s) of yellow paint. The 3 cups of dark orange require
3
3 ounce(s) of yellow paint, and the 3 cups of light orange require
391313
nothing ounce(s) of yellow paint.
(Type integers or decimals.)
Answer:
Integers and decimals
Step-by-step explanation:
Soorry im too lazy to read all this
Answer:
Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Answer parts a and b.
a. Arnie buys a 32-oz can of red paint. Does he have enough red paint to make 3 cups of dark orange paint and 3 cups of light orange paint? Explain.
▼
Yes.
No.
The 3 cups of dark orange paint require
nothing ounce(s) of red paint, and the 3 cups of light orange paint require
nothing ounce(s) of red paint. Arnie needs
nothing ounce(s) of red paint in total, so the 32-oz can is
▼
enough.
not enough.
Step-by-step explanation:
Fiona can type 60 words a minute. How many words can be typed in 10.5 minutes
Answer:
630
Step-by-step explanation:
Answer:
630
Step-by-step explanation:
1 minute = 60 words multiply everything by 10.5
10.5 minutes = 10.5(60) = 630 words
You supervise a team of seven workers. You record the number of team members who reach
their production goal each day. For the past week, you record the following data: Monday 5
team members reached their goal; Tuesday 4 team members reached their goal; Wednesday 2
team members reached their goal; Thursday 7 team members reach their goal; Friday 3 team
members reached their goal. What was the average number of team members who reached
their goal per day?
Answer:
4.2 team members per day
Step-by-step explanation:
5 + 4 + 2 + 7 + 3 = 21
21/5 = 4.2
An average is the arithmetic mean of a set of observations. The average number of team members who reached their goal per day is 4.2.
What is Mean?An average is the arithmetic mean of a set of observations. it is given by the formula,
[tex]\rm Average=\dfrac{\text{Sum of All the workers of reached their goal}}{\text{Number of working days}}[/tex]
As it is given that the Number of team members that reach their goal on the weekdays Monday, Tuesday, Wednesday, Thursday, and Friday are 5, 4, 2, 7, and 3 respectively. Therefore, the average number of team members who reached their goal per day can be written as,
[tex]\rm Average=\dfrac{\text{Sum of All the workers of reached their goal}}{\text{Number of working days}}\\\\\\Average = \dfrac{5+4+2+7+3}{5} = \dfrac{21}{5}=4.2[/tex]
Thus, the average number of team members who reached their goal per day is 4.2.
Learn more about Average:
https://brainly.com/question/16967035
Which statement is not true about rational numbers. A.All integers are rational numbers B.Rational numbers include repeating and terminating decimals C. All numbers are rational numbers D.The number of pie is a rational number
Answer:
C. All numbers are rational numbers
Step-by-step explanation:
In mathematics, any number that can be stated in fraction form or ratios is said to be a rational number. This simply means that some numbers cannot be written in fraction form and so all numbers are not rational numbers.
Examples of rational numbers include terminating decimals, integers, repeating decimals and the fractions.
The other non-rational numbers are called irrational numbers, as they cannot be written in fraction form.
Which quadratic function is best represented by this graph?
A.) f(x)=x^2−6x−8
B.) f(x)=x^2−6x+8
C.) f(x)=x^2+8
D.) f(x)=x^2+6x+8
? Pick one graph
Step-by-step explanation:
There's no graph visible
f(x) is the same as y
Hope this helps!
Which statements about mass are true?
Select each correct answer.
One gram is 1,000 times greater than one kilogram.
Grams are greater than kilograms.
A gram is smaller than a kilogram.
One kilogram is 1,000 times greater than one gram.
One gram is 100 times less than one kilogram.
One kilogram is 100 times greater than one gram.
Answer:
1=false 2=false 3=true 4=true 5=false 6=false
Step-by-step explanation:
The sides of a pentagon measure 109.7 meters and the apothem is 75.5 meters. Find the area of the pentagon.
Answer:
20705.875
Step-by-step explanation:
Area of a pentagon is 1/2 * P * A p being the perimeter of the pentagon and a being the apothem. 1/2 * 548.5 * 75.5 equals 20705.875. I'm almost positive this is correct. So sorry if it's not. Have a good day/night!
I need help with this!
Answer:
B
Step-by-step explanation:
The slope is -1, which equals m= -1.
The answer is B.
can you please help me with this question
please answer these ignore the answers already there
Answer:
first pic- 1. slope is -2/3, y-inter is 1, y=-2/3x+1
2.slopeis 3/-2, y-inter is -1, y=3/-2x+(-1)
Answer:
second pic- 1. slope is -3/-2, y-inter is 0, y=-3/-2x+0
2. slope is 1/2, y-inter is -1, y=1/2x+(-1)
Nico did 78 sit-ups in 2 minutes.
What is the Unit Rate?
sit-ups per minute
At this rate, how many sit-ups can Nico do in 5 minutes?
78 sit ups in 2 minutes
so
= 78 : 2 sits in 1 minute = 39 sits up per minute
x 5 = 195 sit ups in 5 minutes
Answer: 39 situps per time
Step-by-step explanation:
Please assist, no links
Answer:
[tex]\frac{1}{a^{7} }[/tex]
Step-by-step explanation:
Use this rule:
[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
So, this gives you
[tex]a^{-13+6}[/tex]
This equates to:
[tex]a^{-7}[/tex]
However, we cant leave the exponent negative, so we use this formula:
[tex]a^{-b}=\frac{1}{a^b}[/tex]
So, the answer is:
[tex]\frac{1}{a^{7} }[/tex]
Answer:
There is no denominator a^-7
The power is positive 1/a^7
Step-by-step explanation:
Remark
We are not told what the restrictions on the power are. Here are the possibilities.
There is no denominator.The power must be positive.So I will give the answer to both conditions. You will have to choose.
There is no denominator
That means that The powers are subtracted
Multiply numerator and denominator by a+6
a^- 13 * a^6
=========
a^-6 * a^6
To start a^(-6 + 6) = a^0 which = 1. That is not written, so you are left with a^ (-13 + 6) = a ^ -7
The answer must have a positive power.
Multiply the numerator and denominator by a^13.
numerator
a^-13 * a^13
a^(-13 + 13)
a^0
1
So we are left with 1 in the numerator.
a^-6 * a^13
a^(-6 + 13)
a^7
Answer: what is left is 1/a^7
which statement best represents the relationship in the scatterplot below?
Answer:
C. As the children's weight increased, their height decreased
Step-by-step explanation:
This is your answer becuse you can see here that the height is increasing as the weight is increasing
Thanks!
Mark me brainliest!
Roberto wrote a sentence that describes an equation.
Half of a number is 45.
Which choice shows Roberto’s equation and its solution?
2 x = 45; x = 90
StartFraction 45 Over 2 EndFraction = x; x = 22.5
StartFraction x Over 2 EndFraction = 45; x = 22.5
StartFraction x Over 2 EndFraction = 45; x = 90
Answer: D: x/2 = 45; x = 90
Step-by-step explanation:
half of a number is 45:
x/2 = 45
.: x = 90
Your answer is D
Answer:
D
Step-by-step explanation:
An engineer sketches a design for a flashlight that uses a mirror in the shape of a parabola to maximize the output of the light. the function representing the mirror is graphed on the left. which function models the situation? f(x) = (x – 6)2 2 f(x) = –(x – 0)2 20 f(x) = 3(x – 6)2 2 f(x) = –3(x – 0)2 20
Function that models the situation is f(x) = 1/2(x-6)²+2.
What is a parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
Given parabola is of concave upward type.
So, the parabola will be of form f(x)=p(x-q)²+r....(1)
As vertices of parabola are (6,2)
So, we can put q=6 and r =2 in (1)
So, (1) becomes f(x) = p(x-6)²+2.....(2)
The y-intercept of the parabola is 20
This means, (2) becomes 20 = p(0-6)²+2
i.e. p = 1/2
So, function will be f(x) = 1/2(x-6)²+2
Therefore, function that models the situation is f(x) = 1/2(x-6)²+2.
To get more about parabola visit:
https://brainly.com/question/4148030
Find the missing length.
Pythagorean Theorem:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Answer:
[tex] \huge \boxed{c = 4 \sqrt{2} }[/tex]
Step-by-step explanation:
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x
Using Pythagoras theorem we have
c² = a² + b²
where
c is the hypotenuse
So from the question we have
[tex] {c}^{2} = {4}^{2} + {4}^{2} \\ c = \sqrt{16 + 16} \\ c = \sqrt{32} \: \: \: \: \: \: \: \: \: \\ \\ \\ c = 4 \sqrt{2} \: \: \: \: \: \: \: \: [/tex]
Hope this helps you
what is an equation of the line that passes through the point (5, -7) and has a slope of 0
Answer:
y=-7
Step-by-step explanation:
Simple enough. Slope of zero means that x does not have to be determined. So if you just put the y coordinate in a slope of zero, you should get your answer.
The equation of line is y = -7.
Equation of line is,
[tex]y=mx+c[/tex]
Where m is slope.
Given that, slope is 0.
Equation of line become, [tex]y=0*x+c=c[/tex]
And Line passes through the point (5, -7)
Substitute these point,
[tex]c=-7[/tex]
Hence, equation of line is, [tex]y=-7[/tex]
Learn more:
https://brainly.com/question/17003809
BRAINLIEST FOR CORRECT ANSWER!
Ethan bounces a tennis ball on the ground. Each time the ball bounces, it's height gets cut down until it comes to a stop. Ethan recorded the height of the tennis ball on each bounce as seen in the table above.
List the missing terms from the table.
Using a geometric sequence, it is found that the missing terms of the table are, respectively, given by:
[tex]243, 1, \frac{1}{81}[/tex]
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
From the table, we get that the common ratio is of [tex]q = \frac{1}{3}[/tex], hence each term is the previous divided by 3, or the next multiplied by 3. Hence, the missing terms are given by:
[tex]3 \times 81 = 243[/tex]
[tex]3 \times \frac{1}{3} = 1[/tex]
[tex]\frac{1}{27} \times \frac{1}{3} = \frac{1}{81}[/tex]
More can be learned about geometric sequences at https://brainly.com/question/11847927