Mark earns a weekly salary of $150 PLUS a commission of 9% of his sales. If his sales were $2600, what was his gross pay? $23550 $384 $234 $2490
Answers
Answer:
fiewjfilewjfiwj
Step-by-step explanation:
kjkejfke
Related Questions
For the following set of data, find the number of data within 2 population standard deviations of the mean.28, 65, 114, 74, 68, 75, 70, 69, 64
Answers
To determine the data that is within 2 population standard deviations of the mean, let's calculate the mean first.
To determine the mean, let's add all the data and divide the result by the total number of data.
\(28+65+114+74+68+75+70+69+64=627\)\(627\div9=69.66667\)The mean is 69.66667.
Let's now calculate the standard deviation. Here are the steps:
1. Subtract the mean from each data, then square the result.
\(\begin{gathered} 28-69.66667=(-41.66667)^2=1,736.1114 \\ 65-69.66667=(-4.66667)^2=21.7778 \end{gathered}\)\(\begin{gathered} 114-69.66667=(44.33333)^2=1,965.4441 \\ 74-69.66667=(4.33333)^2=18.7777 \end{gathered}\)\(\begin{gathered} 68-69.66667=(-1.66667)^2=2.7778 \\ 75-69.66667=(5.33333)^2=28.4444 \end{gathered}\)\(\begin{gathered} 70-69.66667=(0.33333)^2=0.1111 \\ 69-69.66667=(-0.66667)^2=0.4444 \\ 64-69.66667=(-5.66667)^2=32.1111 \end{gathered}\)2. Add the results in step 1.
\(1,736.1114+21.7778+1,965.4441+18.7777+2.7778=3,744.8888\)\(28.4444+0.1111+0.4444+32.1111=61.111\)\(3,744.8888+61.111=3,805.9998\)The sum is 3, 805.9998.
3. Divide the sum by the total number of data.
\(3,805.9998\div9=422.8889\)4. Square root the result in step 3.
\(\sqrt{422.8889}\approx20.56\)The standard deviation is approximately 20.56.
So, the data that are within 2 population standard deviations of the mean are between:
\(\begin{gathered} 69.67-(2)(20.56)=28.55\approx29 \\ 69.67+(2)(20.56)=110.79\approx111 \end{gathered}\)The data that are within 2 population standard deviations of the mean are between 29 and 111. Based on the given data, the data that are between 29 and 111 are the following: 64, 65, 68, 69, 70, 74, and 75. There are 7 data that are within 2 population standard deviations of the mean.
Pls help I’ll brainlest ASAP
Answers
Answer:
-9
Step-by-step explanation:
-6 Divided By 2/3 = -9
2/3 multiplied by -9 = -6
Your answer will be z = -6/3 or -9
If its wrong I tried-
The area of the triangle below is 29.25 square centimeters. What is the length of the base?
Answers
Answer:
b = 9
Step-by-step explanation:
0.5 bh= 29.25
thus
(0.5)(b)(6.5)=29.25
thus
b= 58.5/6.5 = 9
Answer:
9?
Step-by-step explanation:
D. Which transformations (vertical shift, horizontal shift, dilations, and reflections) change the domain of a function.
Support your answers with equations and graphs.
Answers
The transformations that change the domain of a function are given as follows:
Horizontal shift.Dilation.Reflection over the y-axis.What is the domain of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.
Hence we must look at transformations that change the values of x of the function, which are given as follows:
Horizontal shift, which are f(x + a) and f(x - a).Dilation, which are f(ax).Reflection over the y-axis, which is f(-x).Learn more about domain and range at https://brainly.com/question/26098895
#SPJ1
What is a possible factorization of a polynomial with −5, 3, and i as zeros?
Answers
The zeros of the polynomial are: -5, 3 and i.
The zeros are the x-values that make each factor equal to zero, then if -5 is a zero:
\(\begin{gathered} x=-5 \\ \text{Add 5 to both sides:} \\ x+5=-5+5 \\ x+5=0 \end{gathered}\)then (x+5) is one of the factors.
Zero: 3, thus:
\(\begin{gathered} x=3 \\ \text{Subtract 3 from both sides} \\ x-3=3-3 \\ x-3=0 \\ (x-3)\text{ is another factor} \end{gathered}\)Zero: i, thus:
\(\begin{gathered} x=i \\ \text{Subtract i from both sides} \\ x-i=i-i \\ x-i=0 \\ (x-i)\text{ is the last factor} \end{gathered}\)A possible factorization of the polynomial is: (x+5)(x-3)(x-i)
I need Help please!!!
Answers
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
What is the expanded form of 14.702
Answers
Answer:
The expanded form for 14.702 is
fourteen and seven hundred two thousandths
Abdul invests $5,000 at an interest rate of 4%, compounded quarterly. How much is the investment worth at the end of 3 years?
O A. $624.32
O B. $5624.32
C. $634.13
O D. $5634.13
Answers
Which linear function has the greatest y-intercept?
y = 6 x + 1
On a coordinate plane, a line goes through points (0, 2) and (5, 0).
On a coordinate plane, a line goes through points (1, 2) and (0, negative 3).
y = 3 x + 4
Answers
The linear function that has the greatest y-intercept is \(y = 3x + 4\).
In a linear equation, the y-intercept is where the line crosses the y-axis.
It is represented by the constant term in the equation.
So, to determine which linear function has the greatest y-intercept, we need to look at the constant term of each equation.
Let's consider each equation: \(y = 6x + 1\)
The constant term in this equation is 1.
So, the y-intercept is 1.
On a coordinate plane, a line goes through points (0, 2) and (5, 0).
To find the equation of this line, we can use the point-slope form:
\(y - y1 = m(x - x1)\)
where m is the slope and (x1, y1) is a point on the line.
Using the points (0, 2) and (5, 0), we get:
\(m = \frac{(0 - 2)}{(5 - 0)} =-\frac{2}{5}\)
So, the equation of the line is:
\(y - 2 = (\frac{-2}{5} )(x - 0)\)
\(y = (\frac{-2}{5} )x + 2\)
The constant term in this equation is 2.
So, the y-intercept is 2.
On a coordinate plane, a line goes through points (1, 2) and (0, -3).
To find the equation of this line, we can use the point-slope form:
\(y - y1 = m(x - x1)\)
where m is the slope and (x1, y1) is a point on the line.
Using the points (1, 2) and (0, -3), we get:
\(m = \frac{ (-3 - 2) }{(0 - 1)} = -5\)
So, the equation of the line is:
\(y - 2 = (-5)(x - 1)y = -5x + 7\)
The constant term in this equation is 7.
So, the y-intercept is 7.
\(y = 3x + 4\)
The constant term in this equation is 4.
So, the y-intercept is 4.
Therefore, we can see that the linear function that has the greatest y-intercept is \(y = 3x + 4\).
For such more questions on y-intercept
https://brainly.com/question/25722412
#SPJ8
convert x - 2y = 0 into slope intercept form then graph
Answers
Answer:
y = \(\frac{1}{2}\)x
(See the attachment)
Step-by-step explanation:
x - 2y = 0
-2y = -x
y = \(\frac{1}{2}\)x
Answer:
Step-by-step explanation:
y = \(\frac{1}{2}\) x
Mrs Boswell is ordering cookies from a bakery for her daughter’s eighth grade graduation party she uses a table to figure out how many cookies to order
Answers
Answer:
I'm pretty sure the answer is B, I hope this helps!
write the equation for the line in slope-intercept form (2,-3) (-1/2) ( HELP PLEASE )
Answers
Answer:
A linear equation is a fancy term for a straight line, which can be created by joining 2 points.
A point can be defined by (x, y), where x and y are the horizontal distance and the vertical distance respectively from point (0,0) (called the origin).
There are 3 ways to define a line:
(1) The slope-intercept form
y = mx + b, in which m is the slope, b is the y-intercept, where the line crosses the vertical axis at (0, b). If values of m and b are given, you can substitute and write the equation right away.
The slope, m, is calculated by rise (vertical difference between 2 points on the line) divided by run (horizontal difference between the 2 points on the line)
Step-by-step explanation:
or example, if 2 points on the line are
(x1, y1) and (x2, y2)
Then slope = (y1– y2)/(x1 — x2)
If m > 0, then the line rises to the right.
If m = 0, then the line is horizontal.
If m < 0, then the line rises to the left.
If the line is in the form x = c, where c is a constant, then the line is vertical.
(2) Point slope form
m = (y — y1)/(x — x1), when (x1, y1) and m are given.
In other words,
m(x — x1) = y — y1
mx — m(x1) = y — y1
y = mx — m(x1) + (y1)
Note that b = -m(x1) + (y1)
(3) linear form
ax + by + c = 0, where a, b, and c are constants.
The cost of a jacket increased from $50.00 to $59.00. What is the percentage increase of the cost of the jacket?
Answers
Answer:
18%
Step-by-step explanation:
59-50=9
9/50=0.18=18%
F(x)=(x+2)^2 (x-3) graph the function
Answers
The value of the equation f ( x ) is
f ( x ) = x³ + x² - 8x - 12
What is an 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.
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 data ,
Let the equation be represented as A
Now , the value of A is
f ( x ) = ( x + 2 )²( x -3 ) be equation (1)
Now , on simplifying the equation , we get
f ( x ) = ( x + 2 )²( x -3 )
f ( x ) = ( x² + 4x + 4 ) ( x - 3 )
Now , multiplying each term with ( x - 3 ) , we get
f ( x ) = ( x - 3 ) x² + ( x - 3 ) 4x + ( x - 3 ) 4
f ( x ) = x³ - 3x² + 4x² - 12x + 4x - 12
On simplifying the equation ,we get
f ( x ) = x³ + x² - 8x - 12
Now , the value of the equation f ( x ) = x³ + x² - 8x - 12
On graphing the equation , we get
The graph of the equation f ( x ) = x³ + x² - 8x - 12 is shown below
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ1
A university employs a total of 560 teaching assistants and research assistants. There are three times as many teaching
assistants as research assistants. Find the number of research assistants employed by the university.
research assistants
Answers
Answer:
170
Step-by-step explanation:
There are three times as many teaching assistants as research assistants. Find the number of research assistants employed by the university. Hence the number of research assistants is 170.
Mai has proven that triangle WYZ is congruent to triangle WYX using the Side-Side-Side Triangle Congruence Theorem. Since corresponding parts of
congruent triangles are congruent, angle ZWY is congruent to angle XWY and angle ZYW is congruent to angle XYW.
True or False: Mai can now conclude that diagonal WY bisects angles ZWX and ZYX.
True
O False
Answers
It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX
Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:
Diagonal WY bisects angles ZWX and ZYX because:
all corresponding parts of both triangles are congruent. (Option A).
If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.
Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.
If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).
To learn more about congurency refer here
https://brainly.com/question/1675117
#SPJ1
The total age of a cat, dog, and a monkey is 4 years 2 months. The dog is twice as old as the cat. The monkey is twice as old as the dog. How old is the monkey?
Answers
Answer:
qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq
Step-by-step explanation:
Find the area of this triangle
Answers
Answer:
50.32
Step-by-step explanation:
each face of 2 cubes with faces numbered from 1 through 6 has a 1/6 chance of landing up when the 2 cubes are tossed. what is the probability that the sum of the two numbers on the faces landing up will be less than 6?
Answers
Using the probability concept, it is found that there is a \(\frac{5}{18}\) probability that the sum of the two numbers on the faces landing up will be less than 6.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.In this problem:
Two cubes, each with 6 outcomes, hence there is a total of 6² = 36 outcomes.These following outcomes result in a sum that will be less than 6: (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1), hence 10 outcomes.Then:
\(p = \frac{10}{36} = \frac{5}{18}\)
\(\frac{5}{18}\) probability that the sum of the two numbers on the faces landing up will be less than 6.
To learn more about the probability concept, you can take a look at https://brainly.com/question/15536019
The spinner shown is spun twice. Express your answer
as a simplified fraction.
7. Find P(the two numbers have an even sum).
8. Find P(two even numbers).
Answers
7) The probability that the two numbers have an even sum is: 0.5
8) The probability that the two are even is: 0.25
How to find the probability in a spinner?7) We want to find the probability that the two numbers have an even sum.
The only combinations that produces an even sum are:
(1, 3), (3, 1), (1, 1), (2, 2), (2, 4), (4, 2), (4, 4), (3, 3)
The other combinations of numbers are:
(1, 2), (1, 4), (2, 1), (4, 1), (2, 3), (3, 2), (3, 4), (4, 3)
Thus, we have a total of 16 combinations and the probability that the two numbers have an even sum is:
P(two numbers with even sum) = 8/16 = 0.5
8) The probability that the two are even is:
4/16 = 1/4
= 0.25
Read more about spinner probability at: https://brainly.com/question/3765462
#SPJ1
Which measurement is the same for Charles and Jermod?
median
Orange
Olower quartile
Oupper quartile
These dot plots show how many minutes Charles and Jermod spent on homework per day
for three weeks.
15 20 25 30
40 45 50 55 60
Charles's Homework (minutes per day)
15 20 25 30 35 40 45 50 55 60
Jermod's Homework (minutes per day)
Which measurement is the same for Charles and Jermod?
Answers
The measurement is the same for Charles and Jermod are lower quartile and upper quartile. Therefore, options C and D are the correct answer.
From the given dot plot.
The number of minutes Charles spent on homework.
15, 15, 20, 20, 25, 30, 30, 30, 30, 30, 45, 50, 55, 60, 60.
Here, lower quartile = 20
Upper quartile = 50
Median = 30
Range = 60-15
= 45
The number of minutes Jermod spent on homework.
15, 15, 15, 20, 20, 30, 35, 45, 45, 45, 50, 50, 55, 55.
Here, lower quartile = 20
Upper quartile = 50
Median = 45
Range = 55-15
= 40
Therefore, options C and D are the correct answer.
Learn more about the dot plot here:
brainly.com/question/22746300.
#SPJ1
Which is a polar form of the following parametric equations?x=5cos² thetay = 5 cos theta sin theta
Answers
ANSWER
\(r(\theta)=5cos\theta\)EXPLANATION
Given;
\(\begin{gathered} x=5cos^2\theta \\ y=5cos\theta\:sin\theta \end{gathered}\)Convert from polar form to parametric form.
\(\begin{gathered} x(\theta)=r(\theta)cos\theta \\ y(\theta)=r(\theta)sin\theta \end{gathered}\)Here;
\(\begin{gathered} x(\theta)=5(cos\theta)^2=5cos\theta\times cos\theta \\ y(\theta)=5cos\theta s\imaginaryI n\theta=5cos\theta sin\theta \\ \Rightarrow r(\theta)=5cos\theta \end{gathered}\)Need help with this question I can’t get the answer
Answers
We can use a rule of three to solve the exercise.
\(\begin{gathered} 175\rightarrow100\% \\ x\rightarrow92\% \\ \text{ Because }100\%-8\%=92\% \end{gathered}\)\(\begin{gathered} x=\frac{92\%\cdot175}{100\%} \\ x=\frac{92\cdot175}{100} \\ x=\frac{16100}{100} \\ x=161 \end{gathered}\)Therefore, there were 161 robberies in Springfield in 2012.
Can someone help me please I really need help please help meee I’m struggling I WILL HELP YOU WITH YOUR ASSIGNMENT IF YOU HELP ME PLEASE
Answers
Answer:
0.19
Step-by-step explanation:
when its comes to interest,most CDs will allow which of the following options?
a. Unlimited withdraws of interest
b. Periodic interest payout
c. loans against principal
d. Withdrawal of principal
Answers
When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.
A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.
However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.
While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.
Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.
So, correct option is B.
To learn more about interest click on,
https://brainly.com/question/12456231
#SPJ1
Find the equation of a line parallel to y=x−1 that contains the point (−3,−2). Write the equation in slope-intercept form.
Answers
Answer:
y = x + 1
Step-by-step explanation:
Parallel lines have same slope.
y = x - 1
Compare with the equation of line in slope y-intercept form: y = mx +b
Here, m is the slope and b is the y-intercept.
m =1
Now, the equation is,
y = x + b
The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,
-2 = -3 + b
-2 + 3 = b
\(\boxed{b= 1}\)
Equation of line in slope-intercept form:
\(\boxed{\bf y = x + 1}\)
The equation is :
↬ y = x + 1Solution:
We KnowIf two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.
We shouldn't forget about a point on the line : (-3, -2).
I plug that into a point-slope which is :
\(\sf{y-y_1=m(x-x_1)}\)
Slope is 1 so
\(\sf{y-y_1=1(x-x_1)}\)
Simplify
\(\sf{y-y_1=x-x_1}\)
Now I plug in the other numbers.
-3 and -2 are x and y, respectively.
\(\sf{y-(-2)=x-(-3)}\)
Simplify
\(\sf{y+2=x+3}\)
We're almost there, the objective is to have an equation in y = mx + b form.
So now I subtract 2 from each side
\(\sf{y=x+1}\)
Hence, the equation is y = x + 1On a trip, a student drove 42 miles per hour for 3 hours and then drove 26 miles per hour for 5 hours. What is the student’s average rate of speed, in miles per hour, for the whole trip? *
1. 126 MPH
2. 32 MPH
3. 130 MPH
4. 8.5 MPH
Answers
Answer:
34 mph
Step-by-step explanation:
Average speed = total distance / total time
Total distance = ( 40 × 2 + 30 × 3 )
= 170 miles
Total time = 5 h
So, avg speed = 170/5 = 34 mph
HELP HURRY
Find the distance from A to C.
12
74
6
Answers
Answer:
It's B :)
Step-by-step explanation:
√74 should be the correct one
100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!
Answers
The values of the trigonometry functions are sin(θ) = 3/√13, cos(θ) = 2/√13, tan(θ) = 3/2, csc(θ) = √13/3, sec(θ) = √13/2 and cot(θ) = 2/3
Finding the values of the trigonometry functionsfrom the question, we have the following parameters that can be used in our computation:
The right triangle
The hypotenuse of the right triangle is calculated as
h² = 2² + 3²
When evaluated, we have
h = √13
The values of the trigonometry functions are then evaluated as
sin(θ) = 3/√13
cos(θ) = 2/√13
tan(θ) = 3/2
csc(θ) = √13/3
sec(θ) = √13/2
cot(θ) = 2/3
Read more about trigonometry functions at
https://brainly.com/question/24349828
#SPJ1
Convert the rectangular coordinates (-√√2, -√2) into polar form.
Express the angle using radians in terms of 7 over the interval
0 ≤0 < 27, with a positive value of r.
Answers
The polar form of the rectangular coordinates (-√√2, -√2) is (2√(1 + √2), 15π/28)
Converting into polar formTo convert the rectangular coordinates (-√√2, -√2) into polar form, we first need to find the value of r (the radius) and θ (the angle).
r = √((-√√2)^2 + (-√2)^2) = √(2 + 2√2) = 2√(1 + √2)
To find the value of θ, we can use the following formula:
θ = atan(y/x)
where atan is the inverse tangent function, and (x, y) are the rectangular coordinates.
θ = atan(-√2/(-√√2)) = atan(√2) = π/4 radians
However, we need to express the angle in terms of 7 over the interval 0 ≤ θ < 2π/7, with a positive value of r.
To do this, we can add a multiple of 2π/7 to the value of θ until we get an angle in the desired interval.
θ = π/4 + 2π/7 = (7π + 8π)/28 = 15π/28 radians
So the polar form of the rectangular coordinates (-√√2, -√2) is:
(2√(1 + √2), 15π/28)
Learn more on polar form here https://brainly.com/question/29045307
#SPJ1