A sales person starts working 40 hours per week at a job with 2 options for being paid . Option A is an hourly wage of $19. Option B is a commission rate of 8% on weekly sales.
How much does the sales person need to sell in a given week to earn the same amount with each option?
A. $9,500
B. $4,750
C. $760
D. $320
Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)
Now, according to option b, he will get 8% commission on weekly sales.
Let. x = the amount of weekly sales.
To earn the same amount of option A, he will have to equal the 8% of x to $760
So, \(\sf \dfrac{8x}{100}=760\)
Or, \(\sf 8x= 76000\)
Or, \(\sf x= \dfrac{76000}{8}=9500\)
the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.
12. How many cups are left in a half-gallon carton of orange juice after 3 cups are used?
• Homework Problems
The number of cups that are left in a half-gallon carton of orange juice after 3 cups are used is 5 cups.
To solve this question, we'll need to convert gallons to cups. This will be:
1 gallon = 16 cups. Therefore, 1/2 gallon will be = 1/2 × 16 = 8 cups.
In this case, we'll then subtract the number of cups that have been used from 8 cups. This will be:
= 8 cups - 3 cups .
= 5 cups.
Therefore, the number of cups that are left after 3 cups are used is 5 cups.
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Work out 5 × 1 7 Give your answer as a fraction.
Answer:
The answer is 85/1. To calculate 5 × 17, first multiply 5 × 10 = 50, then add 5 to the result to get 50 + 5 = 55. Finally, divide the result by 1 to get 55/1 = 85/1.
give me brainiest
Answer:
The fraction is 5/7
Step-by-step explanation:
5 * 1/7
Multiplying a whole number times a fraction
Multiply the whole number times the numerator.
5 * 1 = 5
Divide by the denominator
5/7
The fraction is 5/7
Without using the P value chart, how would you find the P value using Excel?
To find the P value using Excel, you can use the T.TEST function. The T.TEST function calculates the probability of a given test statistic, such as the T-value, assuming that the null hypothesis is true. The function takes several arguments, including the range of values for the sample data, the hypothesized mean of the population, the type of test (two-tailed or one-tailed), and the significance level.
Here is an example of how to use the T.TEST function in Excel:
Enter your sample data into a column in Excel.
In an empty cell, enter the formula =T.TEST(data range, hypothesized mean, type of test, significance level).
Replace "data range" with the range of cells containing your sample data, "hypothesized mean" with the mean of the population, "type of test" with 1 for a one-tailed test or 2 for a two-tailed test, and "significance level" with the level of significance.
Press enter, the P-value will be returned.
For example, if your sample data is in cells A1:A10, the hypothesized mean is 0, the type of test is two-tailed, and the significance level is 0.05, the formula would be =T.TEST(A1:A10, 0, 2, 0.05)
The P-value returned will be the probability that the sample data came from a population with a mean equal to the hypothesized mean, assuming that the null hypothesis is true.
Every week, Richard cuts 5 apples into slices and gives 3/8 of an apple to each of his guests. He has 2 apples left over. How many guests does Richard have?
Answer:
222222
Step-by-step explanation:
Two friends, Caleb and Hassan, took summer jobs. The equation y=21.5xy=21.5x represents Hassan's earnings in dollars and cents, yy, for working xx hours. Caleb earned $819.40 in 34 hours.
Use the dropdown menu and answer-blank below to form a true statement.
Hassan earns $2.6 per hour more than Caleb. Because the rate of Hassan is more than Celeb.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
Two friends, Caleb and Hassan, took summer jobs. The equation y = 21.5x represents Hassan's earnings in dollars and cents, y, for working x hours. Caleb earned $819.40 in 34 hours.
The rate of Caleb is given as,
Celeb's rate = $21.5 per hour
The rate of Hassan is given as,
Hassan's rate = $819.40 / 34
Hassan's rate = $24.1 per hour
The difference is given as,
⇒ $24.1 - $21.5
⇒ $2.6
Hassan earns $2.6 per hour more than Caleb. Because the rate of Hassan is more than Celeb.
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find the height of the building when x = 3m, y = 6m, and d = 6m
Answer:
To find the height of the building, we can use the following formula:
height = y(d-x)/x
Substituting the given values, we get:
height = 6(6-3)/3
height = 6(3)/3
height = 6 meters
Therefore, the height of the building is 6 meters.
At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 21 knots. How fast (in knots) is the distance between the ships changing at 4 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)
At \($5 \mathrm{pm}$\) the distance between the ships is changing at the speed of \($\mathbf{3 0 . 2 1}$\) knots
Firstly we need to an equation to represent both ships and the distance between each. A is moving \($25 \mathrm{knots}$\) west and \($B$\) is moving \($17 \mathrm{knot}$\) north. \($D$\)will be the distance between the two. Drawing it, you'll notice that it creates a right triangle.
So we use the Pythagorean Theorem:
\($$D^{\wedge} 2=A^{\wedge} 2+B^{\wedge} 2$$\)
Differentiate in relation to time:
\($$2 \mathrm{D}(\mathrm{dD} / \mathrm{dt})=2 \mathrm{~A}(\mathrm{dA} / \mathrm{dt})+2 \mathrm{~B}(\mathrm{~dB} / \mathrm{dt})$$\)
Now we must find all of our variables.
\(& A=\text { time(speed })+\text { original distance }=5(25)+10=135 \\\)
\(& B=5(17)+0=85 \\\)
\(& D=V\left(A^{\wedge} 2+B^{\wedge} 2\right)=159.53 \\\)
\(& d A / d t=25 \\\)
\(& d B / d t=17\)
Plug in all your variables and solve for
\($(\mathrm{dD} / \mathrm{dt})$ :\)
\(& 2 \mathrm{D}(\mathrm{dD} / \mathrm{dt})=2 \mathrm{~A}(\mathrm{dA} / \mathrm{dt})+2 \mathrm{~B}(\mathrm{~dB} / \mathrm{dt}) \\\)
\(& 2(159.53)(\mathrm{dD} / \mathrm{dt})=2(135)(25)+2(85)(17) \\\)
\(& 319.061(\mathrm{dD} / \mathrm{dt})=9640 \\\)
\(& \mathrm{dD} / \mathrm{dt}=9640 / 319.061 \\\)
\(& \mathrm{dD} / \mathrm{dt}=30.21 \text { knots }\end{aligned}\)
At \($5 \mathrm{pm}$\) the distance between the ships is changing at the speed of \($\mathbf{3 0 . 2 1}$\) knots
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help pls . ..........
Answer:
you cant
Step-by-step explanation:
g(x) = x² – 3x
h(x)=x+ 5
Find (g- h)(x)
Answer:
g(x+5)=x2+7x+10
Step-by-step explanation:
Olivia is rolling down a hill on a skateboard and is accelerating at 2.4 m/s2. After 3 seconds, she runs into Reid at the bottom of the hill. If her initial velocity was 1.5 m/s, what was her velocity when she hit Reid?
Step-by-step explanation:
Hey there!!
According to the question,
Initial velocity (u) = 1.5m/s.
Acceleration (a) = 2.4 m/s^2.
Time (t) = 3 s.
Final velocity (v) = ?
We have,
\(a = \frac{v - u}{t} \)
Put all values.
2.4 = (v-1.5)/3
2.4×3 = v - 1.5
\(7.2 = v - 1.5\)
\(7.2 + 1.5 = v\)
Therefore, her final velocity is 8.7.
Hope it helps....
Here are some summary statistics for the durations for which candles from a certain company burn.
Candle type
Jar candle
Pillar candle
Mean duration
u=25 hours
u=95 hours
Standard deviation
o=2.5 hours
o=7.5 hours
Andrei had cinnamon-scented jar candle that burned for 30 hours and a berry-scented pillar candle that
burned for 88 hours,
Relative to its type, which candle burned faster?
Choose 1 answer:
The cinnamon-scented jar candle
The berry-scented pillar candle
The two candles burned equally fast relative to their types
It’s impossible to say without seeing all of the individual burning times
It’s impossible to say since we don’t know the shape of either distribution
Answer:
the berry-scented pillar candle
Step-by-step explanation:
khan academy
Courtney's relative high jump height was recorded as 0. What does this mean? Choose the correct answer below.
Answer:
that means she was 0 feet, inches or what ever above the ground as her record
Hope This Helps!!!
i dont understand how this question works so therefeore i dont know how to do it, can anyone help?
is simply changing from percentage form to a decimal form usually, but the fractional form works the same. Check the picture below.
What is the meaning of "if \(\varphi (x)\) has no parameters \(p_{i}\) then the class C is definable"?
The meaning of the statement, "if the function has no parameters, then the class C is definable" is that if there are no parameters given then the class c can be defined with an empty set but if there are no parameters, then the class cannot be defined.
What is the meaning of the statement?The meaning of the above statement is that if no parameters are provided for this function, then the given class represented as c can be defined with an empty set that is enclosed in parameters.
Also, if the parameters are given then the class c is not defined.
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Point I is on line segment HJ. Given HI = x, HJ = 3x - 9, and
IJ = x + 5, determine the numerical length of HJ.
Answer: HJ =
The numerical length of HJ is 33
The given parameters;
distance of HI = x
distance of HJ = 3x - 9
distance of IJ = x + 5
To find:
the numerical length of HJ
A sketch of the positions of the line segments is shown below;
|<-----x------->|<--------------------------x+5------------------------------>|
H---------------I----------------------------------------------------------------J
The value of x will be calculated by setting up the following equation;
HI + IJ = HJ
x + x + 5 = 3x - 9
2x + 5 = 3x - 9
collect similar terms together;
2x - 3x = -9-5
-x = -14
x = 14
The numerical length of HJ is calculated as;
HJ = 3(14) - 9
HJ = 42 - 9
HJ = 33
Thus, the numerical length of HJ is 33
A line segment is a section of a line with two ends and a fixed length. It differs from a line that has no beginning or end point and can be stretched in both directions.
The length of a number in base is the number of digits in the base-number for, as determined by the formula. The multiplicative persistence of an. digit is also known as its length.
A line segment in geometry is defined as two different points on a line. A line segment is a section of a line that links two points. A line has no endpoints and stretches in both directions indefinitely, but a line segment has two fixed or definite endpoints.
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A common multiple is 180 true or false
Answer:
False
Step-by-step explanation:
Question 1 of 25
How does the graph of g(x)= x + 4 compare with the graph of the parent
function, f(x) = x?
A. The graph of g(x) is compressed vertically by a factor of 4.
B. The graph of g(x) is shifted 4 units up.
C. The graph of g(x) is shifted 4 units to the right.
D. The graph of g(x) is compressed horizontally by a factor of 4.
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SUBMIT
Answer: The answer is B. the graph of g (x) is shifted 4 units up.
Step-by-step explanation:
:) <3
Answer: B
Step-by-step explanation:
f(x) is a line that goes through (0,0) as a parent function
y=mx +b b is your y-intercept
so
g(x) having a b=4
has been shifted up 4 units B
The parabola y=√x-4 (principal square root) opens: down left Right up
The parabola \(y = √(x - 4)\) opens upward.
The parabola y = √(x - 4) represents the square root function of x minus 4. To determine the direction in which the parabola opens, we examine the behavior of the square root function.
The square root function (√x) returns non-negative values for non-negative inputs. Since the expression inside the square root, (x - 4), must be non-negative for real solutions, we have x - 4 ≥ 0. Solving this inequality, we find x ≥ 4.
This means that the parabola is defined for x values greater than or equal to 4. As we increase x from 4, the value of √(x - 4) will also increase. Therefore, the graph of the parabola opens upward.
The parabola \(y = √(x - 4)\) opens upward.
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1.) f(x) = x +1
g(x) =- 2x + 5
Find f g(2)
Answer:
2
Step-by-step explanation:
Given f(x) = x + 1 and g(x) = -2x + 5, find f(g(2)).
First, we must plug in the value of g(x) into f(x).
f(g(x)) = (-2x+5) + 1
Then, we plug in g(x)'s x-value.
f(g(2)) = (-2(2) + 5) + 1
Now, we solve.
f(g(2)) = (-4 + 5) + 1
f(g(2)) = 1 + 1
f(g(2)) = 2
What is the meaning of "the notion of finiteness"?
The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.
In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.
In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.
This concept is essential to the development of computer programs that are efficient, reliable, and secure.
In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.
In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.
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No idea how to graph this
Answer:
you can write up to 3 coordinate but you can also continue also .you have to remember to keep the value of variable on right side before computing the value of variable on right side to get good answer.
-4(6x + 7) = -316 What is the answer?
Answer:
\(x=-\frac{43}{3}\)
Step-by-step explanation:
\(-4(6x+7)=-316 \\ \\ 6x+7=-79 \\ \\ 6x=-86 \\ \\ x=-\frac{43}{3}\)
Answer:
x=12
Step-by-step explanation:
hope this helps! -4(6x + 7) = -316=x=12
Determine the equation of the circle with center (-7, -4) containing the point
(-1,-8).
Answer:
(-1, -8) is:(x + 7)^2 + (y + 4)^2 = 52
Step-by-step explanation:
i literally just learned this today so here we go:
The equation of a circle with center (h, k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
We are given the center of the circle as (-7, -4), so we can substitute these values for h and k:
(x - (-7))^2 + (y - (-4))^2 = r^2
(x + 7)^2 + (y + 4)^2 = r^2
We also know that the circle contains the point (-1, -8).
We can substitute these values for x and y, and solve for r:
(-1 + 7)^2 + (-8 + 4)^2 = r^2
36 + 16 = r^2
r^2 = 52
Substituting this value of r^2 into the equation for the circle, we get:
(x + 7)^2 + (y + 4)^2 = 52
Therefore, the equation of the circle with center (-7, -4) containing the point (-1, -8) is:(x + 7)^2 + (y + 4)^2 = 52
Geometry: Please help
Answer: 946 inches squared
Step-by-step explanation:
28 times 7 = 196
25 times 30 = 750
196 plus 750 = 946 inches squared
A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space inside so they can also be used to store props. How much space is inside the steps? Give an exact answer (do not round).
Answer:
0.045
Step-by-step explanation:
khan
The required amount of the space available is 0.045 cubic meter.
Space inside the steps to be determine.
What is volume?Volume, is defined as the mass of object per unit density.
The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2
= 0.06 - 0.015
= 0.045 cubic meter
Thus, the required amount of the space available is 0.045 cubic meter.
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HELPP!!!
The area of the figure is ____ square units.
Answer:
The answer is 132 square units
Step-by-step explanation:
Cutting the shape
we have two trapeziums
A=(area of small +Area of big)Trapezium
A=1/2(3+9)8 + 1/2(9+12)8
A=1/2×12×8 + 1/2×21×8
A=12×4 + 4×21
A=48+84
A=132 square units
Olivia measures the heights of two trees and the lengths of their shadows. She notices that the height of each tree and the length of its shadow are directly proportional. One of the trees has a height of 15 m and a 10 m long shadow. The other tree has a 14.4 m long shadow. Calculate its height, in metres (m). Give any decimal answers to 1 d.p. 15 m 10 m ? m 14.4 m
Step-by-step explanation:
directly proportional means
y = kx
with k being a constant factor for all values of x.
we get k by using the given data point (10, 15).
15 = k×10
k = 15/10 = 1.5
so, now for the other tree we know k and x and calculate y
y = 1.5×14.4 = 21.6 m
it is 21.6 m tall (its height is 21.6 m).
which of the following in not always true of parallelogram ABCD A) segment AB is congruent to segment DCB) segment BC is congruent to segment AD C) angle A and angle C are supplementary (add to 180) D) AB+BC=AD+DC
We can answer this question as follows:
Case A:
Segment AB is congruent to segment DC. That is always true. The opposite sides of a parallelogram are congruent.
Case B:
Segment BC is congruent to segment AD. That is always true. The opposite sides of a parallelogram are congruent.
Case C:
This is NOT always true. What is true is that consecutive pairs of angles of a parallelogram are supplementary. For example,
Case D:
AB+BC=AD+DC. This is always true. The diagonal that goes from vertex A to vertex C divides the parallelogram into two congruent triangles. Therefore, this statement is always true.
Therefore, the option that is NOT always true is Angle A and angle C are supplementary (add to 180) (option C).
BEST ANWER GETS BRAINLIEST PLEASE HELP!! :( THIS IS A FINAL!1
2. Apple is also analyzing their profit of the iPhones they sell.
Apple: Profit from iPhones Sold
iPhones sold (in millions) i Profit (in millions of dollars) P(i)
-1 0
2 -9
5 0
6 7
7 16
A. Based on the table, create an equation in factored form (hint: look for the x-intercepts of the function). Then translate the factored form into completed the square form and standard form.
Factored form P(i) =
Standard form P(i) =
Here is my answer. I hope this is helpful.