Answer:
E(m) = 2,000 + 0.15(m + 20,000)
Step-by-step explanation:
The function calculates his monthly earnings E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.
Given that, Anthony sells cars. Each month, he is paid $2,000, plus a 15% commission on monthly sales above $20,000.
We need to calculate his monthly earnings (E) as a function of m, his monthly sales.
What are the composition functions?The composition of a function is an operation in which two functions say f and g generate a new function say h in the sort of manner that h(x) = g(f(x)). It method right here characteristic g is carried out to the characteristic of x. So, basically, a feature is implemented to the end result of another feature.
Now, the function for the given situation is E(m) = 2,000 + 15(m - 20,000).
The function is E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.
Learn more about composition functions here: brainly.com/question/10687170
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The price for each notebook is p. The number of the
notebooks bought by Lily, Jim and Jessica is a, b and c.
Which of the following expression represents the total cost
of all the notebooks bought by the three people?
Answer: price of total notebooks = p(a+b+c) or pa+pb+pc= price of total notebooks
Step-by-step explanation:
you have to add all the number of notebooks or a b and c and then multiply it by the price of each notebook. there are multiple ways to do this but those are the ways I could think of.
if a=2, b=3 and c=6 then you have to add 2+3+6 to equal 11 then multiply 11 by the price of each notebook, say p=$4.50 your equation would be 4.50*11 which is $49.50, and that would be the total of all the notebooks. these numbers metaphorical of course, but hope that puts it into perspective.
Find the length of the missing side.
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What is the missing constant term in the perfect square that starts with 22 – 12x ?
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Answer:
36
Step-by-step explanation:
[tex](x {}^{2} - 6)(x {}^{2} - 6)[/tex]
then we get,
[tex]x {}^{2} - 12x + 36[/tex]
A turtle moves an an average speed of 12 inches/hour. How long does it take the turtle to travel 8 inches?
Answer:
40 minutes
Step-by-step explanation:
We can solve this problem through finding the proportion...
Let the time taken to travel 8 inches at the speed be x
Hence, 12:60 :: 8:x
We must multiply the extremes and the nears..
Hence,
12x=60×8
x=60×8/12
x=40 minutes
Passes through (3, 1) and is perpendicular to the line y=2x+1
Answer:
y = -1/2x + 5/2 or y = -0.5x + 2.5
Step-by-step explanation:
perpendicular lines have reciprocated slopes (opposite signs and values)
y = 2x + 1 → y = (-1/2x) + b
plug in (3,1) to find b
1 = -1/2(3) + b
1 = -1.5 + b
2.5 = b
y = -1/2x + 5/2 or y = -0.5x + 2.5
Answer:
y = -1/2 x +5/2
Step-by-step explanation:
y = 2x+1 is in slope intercept form ( y = mx+b) where 2 is the slope
We want a line perpendicular
Perpendicular lines have slopes that multiply to -1
m * 2 = -1
Divide by 2
m = -1/2
The slope of the perpendicular line is -1/2
y = mx+b
y = -1/2x +b
Using the point (3,1)
1 = -1/2 *3 +b
1 = -3/2 +b
Add 3/2 to each side
2/2 +3/2 = b
5/2 = b
y = -1/2 x +5/2
Write an equation for the graph below in slope-intercept form:
Answer: y<1x-2
Step-by-step explanation:
Find some coordinates on the line to write a slope intercept form equation for the line and turn it into inequality.
First we need to find the slope and the y-intercept. The y intercept is when x is 0 and as we can see it already indicates that the y intercept is -2 .
(0,-2)
(2,0) Use these points o the find the slope.
0- 2 = -2
-2 -0 = -2
-2/-2 = 1 The slope is one so the equation will be y = 1x - 2 But since this is not an inequality we have to change the equal to sign to an inequality sign.
Looking at the line, it is a dashed line so the inequality sign will be > or <
The painted side of the graph represents the solutions of the graph and that is all underneath the graph so the inequality will be y < 1x-2
Jennifer earns $8.50 per hour for regular work time and $10.50 per hour for overtime. Last week, Jennifer worked 43 hours of regular time and 612 hours of overtime. What amount, in dollars, did Jennifer earn last week? Enter your answer in the box below.
Answer:
$6791.50
Step-by-step explanation:
To answer this question create variables x & y
x = regular work time hours
y = overtime hours
Now make an expression
8.50x + 10.50y
After that substitute 43 for x and 612 for overtime
This means the expression will be 365.5 + 6426
Lastly, add the 2 numbers to find out how much money Jennifer made
6791.50
What is the value of x?
Answer:
8
Step-by-step explanation:
2x + 6y = 4
Since, graph passes through (x, - 2)
Therefore, plug y = - 2 in the above equation.
2x + 6*(-2) = 4
2x - 12 = 4
2x = 12 + 4
2x = 16
x = 16/2
x = 8
What is the equation for the axis of symmetry of a parabola?
Hey there! I'm happy to help!
The equation for the axis of symmetry of a parabola is x=a, where a is the x-value of the vertex. It is a vertical line that cuts the parabola in half.
I hope that this helps! Have a wonderful day! :D
The Bionic Woman gives Batman a 12 second
start in a 2 kilometre race. If the Bionic Woman
runs at 5 km/min, and Batman runs at 3 km/
min, who will win the race and by how many
seconds?
Answer:
Bionic Woman wins by 4 seconds.
Step-by-step explanation:
Given:
Speed of Batman = 3 km/min
Speed of Bionic woman = 5 km/min
Total distance = 2 km
Start given to Batman = 12 seconds
To find:
Winner of the race and by how many seconds?
Solution:
Start given to Batman = 12 second start
Let us find the Distance traveled by Batman in 12 second.
12 seconds = [tex]\frac{1}{5}[/tex] minutes
[tex]Distance = Speed \times Time[/tex]
[tex]Distance = 3 \times \frac{1}{5} = 0.6\ km[/tex]
Hence, distance left for batman to be traveled = 2 - 0.6 = 1.4 km
Time taken by Batman = [tex]\frac{1.4}{3} \times 60[/tex] seconds = 28 seconds
Distance for Bionic woman to be traveled = 2 km with 5 km/min
Time taken by Bionic Woman = [tex]\frac{2}{5}[/tex] minutes = 24 seconds
Bionic woman is taking lesser time, So the winner of the race will be Bionic woman.
She will win by 28-24 = 4 seconds
So, answer is:
Bionic Woman wins by 4 seconds.
Solve for 6x when x=6. I need your guys and girls' help.
Answer:
36
Step-by-step explanation:
if x=6 you are multiplying 6 by 6..
you substitute 6 in for x in the problem (6x) so it becomes 6 x 6
the you multiply and get 36
Answer: 36
Step-by-step explanation: 6x means the same thing as 6 · x.
In this case, we are given that x = 6.
So we have 6 · 6 which is 36.
1. Simplify: 8x ÷ (-1/4)
Answer:
-32x
Step-by-step explanation:
Dividing a fraction is the same as multiplying its reciprocal, so we can rewrite the expression as 8x (-4).
We then solve, getting -32x.
Answer:
-32x
Step-by-step explanation:
Hello!
when you divide by a fraction you multiply the denominator to the dividend
8x * -4 = -32x
The answer is -32x
Hope this helps!
There are only two orthodontists in a village and both wore braces until last month. Dr. Carter now has straight teeth and a clean office. Dr. Shuman now has crooked teeth and a messy office. Based only on this given information, which orthodontist should you go to if you want your teeth straightened? Explain your reasoning.
Answer:
Dr Carter
Step-by-step explanation:
I would want to visit Dr. Carter for an orthodontis appointment for multiple reasons. One, he can prove that he doesn’t do his work sloppily as his office is clean, and two, he can prove that his treatments work. since his teeth are now perfectly straight, that shows that his Braces really work, whereas Dr. Shuman’s treatments either don’t work or take a lot longer for results to appear.
Yesenia sells sports equipment and is a paid a commission of 5.55% her sales. What is the total commission for a week if she sells $8,880 in sports equipment
Answer:
Yesenia's total commission for the week is $492.84
Step-by-step explanation:
Yesenia sells sports equipment and is paid commission
Yesenia's commission=5.55%
Weekly sales=$8,880
Total commission = 5.55% of $8,880
= 5.55/100 × 8,880
=0.0555 × 8,880
=492.84
Total commission=$492.84
Yesenia's total commission for the week is $492.84
Hariette would like to review the income and expenses that were actually paid last month so she can determine how much to set aside for her estimated taxes. What accounting method should Hariette choose when she runs the Profit & Loss report? Cash (basis) Accrual (basis) Modified (basis) Hybrid (basis)
Answer:
Hybrid basis
Step-by-step explanation:
There are different methods of accounting used by businesses depending on their peculiar needs. Below are the type of accounting methods:
- Cash basis is when revenues and expenses are recognised when cash is recieved or paid out.
-Accrual basis is when revenue and expenses are recognised when they are earned. For example if services are rendered to a client that will pay in a week's time, since service has already been given it is considered that the future payment has been earned.
- Modified basis combines elements of cash and accrual basis. For example considering short term assets like accounts receivable and accounts payable as cash items. Long term assets are recorded on accrual basis.
- Hybrid basis is used when cash and accrual methods are used for various expenses and tax. Mostly it is used for internal accounting purposes.
In this scenario Hariette would like to review the income and expenses that were actually paid last month. This requires a cash basis that shows actual amount recieved and paid last month. Account receivable and payable are not considered.
In setting aside money for tax she will employ accrual basis accounting. It is an expense that is estimated for future use.
So the hybrid basis is the method that will be most suitable.
Find the slope of the line passing through (-4,6) and (10,8)
Answer:
1/7
Step-by-step explanation:
In order to determine the slope, we must find the change in y over the change in x:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{8-6}{10--4}[/tex] = 2/14= 1/7.
Therefore, the slope between these two points is 1/7.
Answer:
1/7
Step-by-step explanation:
To find the slope when given two points, use the slope formula. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (-4,6) be x₁ and y₁ and let (10,8) be x₂ and y₂:
[tex]m=\frac{(8)-(6)}{(10)-(-4)} =2/14=1/7[/tex]
Therefore, the slope of the line passing through the two points is 1/7.
Find the value of unknown 3x -2 = 4 *
3x - 2 = 4
Move the -2 to the other side of the equals sign to make it 4 + 2, it is now a positive because when you moved it to the other side of the equals sign the negative always changes to a positive.
Now;
3x = 4 + 2
3x = 6, divide each side by 3.
x = 2.
Amber would like to go on the field trip this Saturday. However, she was scheduled to work 10 hours and she makes $8.50 an hour. Additionally, the field trip activity fee was $30. What is her opportunity cost to go on the field trip?
Answer:
The opportunity cost is $85.
Step-by-step explanation:
The scheduled for work = 10 hours.
Money that Amber makes by earning = $8.50 per hour.
Total money earned by Amber = 10 ×8.50 = $85
The fee of the filed trip = $30
Now we have to find the filed trip’s opportunity cost. Since we know that the opportunity cost is the amount that is left in order to get the best alternative. Therefore, if Amber goes on a field trip then he has to forgive the earning. So, the total earning $85 is the opportunity cost.
A skydiver weighing 160 lb (including equipment) falls vertically downward from an altitude of 20,000 ft and opens the parachute after 18 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.7|v| when the parachute is closed and is of magnitude 14|v| when the parachute is open, where the velocity vis measured in ft/s. Assume that acceleration due to gravity has magnitude 32 ft/s; remember that weight is the product of mass and gravitational acceleration.
Required:
a. Find the speed of the skydiver when the parachute opens.
b. Find the distance fallen before the parachute opens.
c. What is the limiting velocity vL after the parachute opens?
d. Determine how long the sky diver is in the air after the parachute opens.
e. Plot the graph of velocity versus time from the beginning of the fall until the sky diver reaches the ground.
f(e+3) + 2(f+1) = 2(f-1)+5 , solve for e
Answer:
Step-by-step explanation:
fe+3f+2f+2=2f-2+5
fe+5f+2=2f+3
fe+2=-3f+3
e=2/-3+3f
Solve for 30 points 1 Thanks and 5 stars and maybe brainiest
Answer:
Step-by-step explanation:
Median: 45.5
Least value of second group: 34.7
Greatest value of third group: 63.6
The median is the middle number. This is pretty obvious to see that the middle number is 45.5.
Next, we need to see what the second group is in the first place. Do you see under the number line, those two boxes? Those are the 2nd and 3rd groups. The first box is the 2nd group. You can see that there are two numbers on the 2nd group (right above the box, on the number line). They are 34.7 and 45.5. The least value of these two is 34.7.
Similarly, the 3rd group is the other box. It has 45.5 and 63.6 on it. So the greatest value of these two is 63.6.
Hope that helped,
-sirswagger21
Find the distance between the two points (-4, 6) and (3,-7) Your answer
Answer: 14.76 or the square root of 218
Step-by-step explanation:
To find the distance find the change in the x values and y values then square them and add them to find their square root.
-4 -3 = -7
6 - (-7) = 13
7^2 + 13^2 = c^2
49 + 169 = c^2
218 = c ^2
c= 14.76
15•(3 + b) = 45 + b
Use properties and definitions of operations to show that the statement is true. Justify each step.
On each bonce, a ball rises to 4/5 of its previous height. To what height will it rise after the third bounce, if dropped from height of 250 cm?
Answer:
128 cm
Step-by-step explanation:
After the first bounce
height = [tex]\frac{4}{5}[/tex] × 250 = 4 × 50 = 200 cm
After the second bounce
height = [tex]\frac{4}{5}[/tex] × 200 = 4 × 40 = 160 cm
After the third bounce
height = [tex]\frac{4}{5}[/tex] × 160 = 4 × 32 = 128 cm
The ball will rise to 128 cm after the third bounce, if dropped from a height of 250 cm.
What is Multiplication?Multiplication is the process of operating a number by adding the number repeatedly to itself up to the times of the other number which is multiplied to the given number.
Mathematically, we can define this as for two numbers p and q, p × q implies that p is added to itself q times or q is added to itself p times.
Initial height = 250 cm
On each bounce, a ball rises to 4/5 of its previous height.
On first bounce,
Height = (4/5) × 250 = 4 × 50 = 200 cm
On second bounce,
Height = (4/5) × 200 = 4 × 40 = 160 cm
On third bounce,
Height = (4/5) × 160 = 4 × 32 = 128 cm
This problem can also be solved using geometric progression with the formula for nth term as (a rⁿ⁻¹) where a is the first term 250, r is the common ratio 4/5 and n is 4, implies the 4th term.
Hence the height ball rise after the third bounce is 128 cm.
Learn more about Geometric Progression here :
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Which of the following is not an integer? 36 0 -22 0.75
Answer:
[tex]\Huge \boxed{\mathrm{0.75}}[/tex]
Step-by-step explanation:
Integers are whole numbers.
Integers include all negative and positive whole numbers. Zero is also included as an integer.
36 is a positive whole number. 36 is an integer.
0 is a whole number. 0 is an integer.
-22 is a negative whole number. -22 is an integer.
0.75 is not a whole number. 0.75 is not an integer.
Does the construction demonstrate how to bisect a segment correctly by hand? I need dire help with this one:(
Pls help answer....
Answer: 18
Step-by-step explanation: 4/3 times 6/5
Is 8/3, flip to 3/8. Use galgo technique: 18
Could Anyone Help ??!!!
Answer:
M = (-1, 0) on the x-axis
Step-by-step explanation:
You know the midpoint is the average of the coordinates of the end points:
M = (S +T)/2
M = ((-4, -3) +(0, 3))/2 = (-4+0, -3+3)/2 = (-2, 0)/2
M = (-1, 0)
The midpoint is (-1, 0). It lies on the x-axis because the y-coordinate is 0.
Is x=3 a solution for the equation: 3x + 7 = 13
Why or why not ?
Answer:
No.
Step-by-step explanation:
There are two different ways to do this - solve for x in the given equation or substitute the value for x and see if you get a true statement.
3x + 7 = 13 subtract 7 from both sides
3x = 6 divide by 3 on both sides
x = 2
3(3) + 7 = 13
9 + 7 = 13
16 ≠ 13
Therefore, x = 3 is not a solution for 3x + 7 = 13.
.The diagonal of a quadrilateral shaped field is 32 m and the perpendiculars dropped on it from the remaining opposite vertices are 10m and 14m. Find the area of the field.
Answer:
Area of the field = 384
Step-by-step explanation:
Given:
diagonal = d = 32 m
perpendiculars dropped on it from the remaining opposite vertices:
h1 = 10 m
h2 = 14 m
Sum of perpendiculars:
h1 + h2 = 10 + 14
= 24
Area of the field = 1/2 x d x (h1 + h2)
= 0.5(32)(24)
Area of the field = 384 m²