A. He now receives paid vacation days at the end after four years of employment = 13Days.
B. he make it while on vacation = $2,704.00
What are paid vacation?Paid vacation is a set amount of time which employers grant to their employees to spend throughout the year. When an employee spends a paid vacation day, they are not required to work that day, but they will be paid the same as if they had worked.
What is the objective of paid vacation?Paid vacation and sick days assist balance your employees' physical and emotional health and well-being, while also providing adequate paid time off to fulfill personal and family responsibilities while keeping your firm successful.
According to the given data:A. He now receives paid vacation days at the end after four years of employment..
#of years worked # of vacation days
0 5
1 5 + 2 = 7
2 7 + 2 = 9
3 9 + 2 = 11
4 11 + 2 = 13
He now receives paid vacation days at the end after four years of employment = 13Days.
B. will he make it while on vacation.
Find his daily pay:
5 days per week with
52 weeks per year
Daily pay = Annual salary/(5 x 52)
= 54,080/ 260
= $208.00
Find his vacation pay
Vacation pay = Daily pay x of days
= 208 x 13
= $2,704.00
he make it while on vacation = $2,704.00
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I understand that the question you are looking for is:
Alan works for a printing company. It has been a little over four years since he was hired. He now makes $54,080 per year. When he was hired he was told that he had five days of paid vacation time. For each year that he worked at the company, he would gain another two days of paid vacation time to a maximum of 20 days.
A. How many paid vacation days does he now get at the end of four years of employment.
B. How much will he make during the time he is on vacation?
How many minutes will it take to travel 64 feet at a rate of 14.5454 feet per second
[tex]\frac{16000}{218282}[/tex] minutes take to travel
According to the question,
Given that,
Traveling 64 feet at rate of 14.5454 feet per second
[tex]\frac{64}{14.5454 * 60}[/tex]
convert decimal into fraction
[tex]\frac{64}{\frac{145454}{10000} * 60}[/tex]
[tex]\frac{64}{\frac{145454}{500} * 3}[/tex]
[tex]\frac{64}{\frac{72727}{250} * 3}[/tex]
[tex]64 *\frac{250}{72727 * 3}[/tex]
[tex]\frac{16000}{218282}[/tex] ≈ 7.3333361 %
There’s a simple formula which governs the three, and it can be expressed with either variable as the subject of the equation:
Distance = speed * time
Time = distance/speed
Speed = distance/time
So, as long as we have a couple of those, we can plug them into one of the equations.
Time = distance/speed. So, a nice easy one would be how many hours does it take to cover 30km when you are travelling at 120km/h.
Time = 30km/120km/h = 0.25 hours.
If you need to figure out how many minutes that is, simply multiply it by 60, which gives you 15 minutes.
You’re going to drive at an average of 70km/h for 4 hours.
Distance is speed multiplied by time, so:
70km/h * 4 hours = 280km.
Easy so far, but what about if you’re going to be driving for 4 hours and 15 minutes? Now you either need to figure out how much 15 minutes is as a decimal number of hours, or you need to convert the hours figure into minutes and, at the end, convert it back.
The first option is fairly simple: take the 15 minutes and divide it by 60 minutes so that we know what proportion of an hour 15 minutes is.
15 minutes / 60 minutes = 0.25 hours
Add that onto the 4 hours you already have and it’s 4.25 hours. Plug it into the same equation:
70km/h * 4.25 hours = 297.5km
The other way around of doing this is converting the time into minutes. Four hours in minutes is 4 * 60 = 240 minutes.
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4-x/3= y solve for x
Answer:
x=-3y+12
Step-by-step explanation:
[tex]4-\frac{x}{3}=y[/tex]
You can subtract y from both sides and add (x/3) to both sides to isolate the variable that you're trying to solve.
[tex]-y+4=\frac{x}{3}[/tex]
Multiply both sides by 3
[tex]-3y+12=x[/tex]
You jump off a diving board
into a pool. You reach a maximum height of 25 feet
after traveling 1 foot horizontally, and hit the water
6 feet from the diving board. The path of your dive
can be modeled by a parabola, where y is the height
(in feet) and x is the horizontal distance traveled (in
feet). What is the height of the diving board?
Finding the equation of the parabola, it is found that the height of the diving board is of 24 feet.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
From the maximum height, it is found that the vertex is at (1,25), hence:
h = 1, k = 25.
Hence:
y = a(x - 1)² + 25.
You hit the water 6 feet from the diving board, hence y(6) = 0, meaning that we use it to find a as follows:
0 = a(6 - 1)² + 25
25a = -25.
a = -1.
Hence:
y = -(x - 1)² + 25.
The height of the diving board is y(0), hence:
y = -(0 - 1)² + 25 = -1 + 25 = 24 feet.
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Question 6
What is the correct algebraic expression for the word problem phrase: "twice the sum of a number
and 4”
- - - - - - - - - - - - - - - - - - - - - - - -
Help below. Enjoy!
- - - - - - - - - - - - - - - - - - - - - - - -
"Twice the sum of a number and four"- that's a bit to take in. Let's break it up.
Twice the sum of a number - that's double the sum of an unannounced number, so let's call it "n"
2(n +)
and four - Add four.
2(n + 4)
- - - - - - - - - - - - - - - - - - - - - - - -
This should work. If not, please leave a comment and I'll try my best to help!
(Please consider leaving a Brainly, as it will be greatly appreciated!)
~pinetreee
ASAP NEED NOW
Question 3 (Essay Worth 10 points)
(01.07 MC)
Show all work to multiply (6+√-64)(3-√-16).
Answer:
50
Step-by-step explanation:
(6+√-64)(3-√-16)
6(3-√-16) +√-64(3-√-16)
18 - 6√-16 + 3√-64 - √1024
18 - 6(4i) + 3(8i) - 32i²
i² = -1
18 - 24i + 24i - (-1) 32
18 + 24i - 24i + 32
18 + 32 = 50
I hope this helps!
Find the sum -82 + (-14)
Find the equation of the line that is parallel to -x+2y=7 and passes through (4,3)
the equation of the line that is parallel to the line - x + 2 y = 7 is - x - y + 7 = 0.
We know that, if the lines are parallel, then their slopes are equal.
We have the line:
- x + 2 y = 7
Slope = - 1
Now, we have the point ( 4, 3)
So, the equation of the line will be:
y - y₁ = m ( x - x₁ )
Substituting the values, we get that:
y - 3 = - 1 ( x - 4 )
y - 3 = - x + 4
x + y - 3 - 4 = 0
x + y - 7 = 0
- x - y + 7 = 0
Therefore, the equation of the line that is parallel to the line - x + 2 y = 7 is - x - y + 7 = 0.
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5,250 ÷ 6
hi i likkke fish
Answer:
875
Step-by-step explanation:
Answer:
the answer is 875
your welcom =D
Which algebraic expression is equivalent to the expression below?
3(5x + 7)-6(4- 2x)
The Equivalent expressions of the given expression is a 27x -3.
According to the statement
We have to find that the equivalent expression.
So, For this purpose, we know that the
Equivalent expressions are expressions that work the same even though they look different.
In other words, Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
From the given information:
The given expression is a
3(5x + 7)-6(4- 2x)
To find the equivalent expression we have to solve it
Then
3(5x + 7)-6(4- 2x)
15x + 21 -24 +12x
Now combine the similar terms by applying mathematical operations
Then the equation become
27x -3.
So, The Equivalent expressions of the given expression is a 27x -3.
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−5x+2y=−19 please help
Answer:
-9.5, -7, 5
Step-by-step explanation:
We need to make this a readable function. We will change it to slope-intercept form, y = mx + b. to do this, we must isolate the variable y.
-5x + 2y = -19
-5x + 2y + 19 = -19 + 19
-5x + 2y + 19 = 0
-5x + 2y - 2y + 19 = -2y
-5x + 19 = -2y
We are solving for positive y, so we will flip all signs in the equation.
5x + - 19 = 2y
5x/2 - 19/2 = 2y/2
2.5x - 9.5 = y
y = 2.5x - 9.5
There's our y = mx + b. We now need to solve for each ordered pair.
y = 2.5(0) - 9.5
y = -9.5
(0, -9.5)
y = 2.5(1) - 9.5
y = 2.5 - 9.5
y = -7
(1, -7)
2.5x - 9.5 = 3
2.5x - 9.5 + 9.5 = 3 + 9.5
2.5x = 12.5
2.5x/2.5 = 12.5/2.5
x = 5
(5, 3)
4. Devon records 4 hours of reality shows on her
DVR. She records comedy shows for 3/8 of that
amount of time. Devon watches all the reality
and comedy shows in half-hour sittings.
a. Find the number of hours of comedy shows
that Devon records.
b. Find the total number of hours of reality and
comedy shows that Devon records.
c. Find the number of half-hour sittings needed
to watch all the shows.
A,b,or c
The number of hours of comedy shows that Devon records is 1 1/2 hours or 1.5 hours.
What is the straightforward meaning of time?
Duration is the length of time, either measured or unmeasured, that an action, process, or situation lasts or continues. A non-spatial continuum that is measured in terms of events that follow one another from the past through the present and into the future is known as a continuum (b). c: reading time in your free time.Devon records reality shows on her dvr for the time of = 4 hours
She records comedy shows 3/8 of the amount of time.
The time of recording comedy shows = 3/8 of 4 hours
= 3/8 × 4
= 12/8
= 3/2
= [tex]1\frac{1}{2}[/tex]
The number of hours of comedy shows that Devon records is 1 1/2 hours or 1.5 hours.
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When first observed, an oil spill covers 4 square miles. Measurements show that the area is tripling every 8 hrs. Find an exponential model for the area A (in mi2) of the oil spill as a function of time t (in hr) from the beginning of the spill.
A(t) =
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
square root of 29
Step-by-step explanation:
1. Find the hypotenuse for the right triangles
2. There’s your answer
Hope this helps. Please mark me Brainliest!
86-30
86-4
86-34
pls help
Answer:
86-30=56
86-4=82
86-34=52
Step-by-step explanation:
Find the formula for the nth term of the following sequence:
648, 108, 18, 3...
Include "n=" in your answer, and do not use any spaces.
Answer:
648, 108 , 18, 3
divide all with 3
216,36,6,1
which means 6³,6²,6¹,6⁰....can be written as
[tex] {6}^{4 - 1} \: \: {6}^{4 - 2} ...so \: on \\ [/tex]
[tex]so \: \: pattern = \\ n = {6}^{4 - n} \times 3[/tex]
CAN SOMEONE HELP PLS, THE PICTURE IS ALREADY ATTACHED JUST GIVE ME THE ANSWER AND EXPLAIN IF YOU CAN!!
Answer:
10 days
Step-by-step explanation:
20-0.4x=16
-20 -20
-0.4x=-4x
/0.4 /0.4
x=10
so after 10 days she'll need to purchase another bag of rice
Write in terms of i. Simplify your answer as much as possible. ✓-6
The expression in terms of i is mathematically given as
x=√6*i
A complex number is a component of a number system that extends the real numbers by adding a specific element denoted I also known as the imaginary unit, and satisfying the equation i2 = 1;
Every complex number can be expressed in the format a + bi, where a and b are real numbers. In other words, a complex number is a number that contains both real and imaginary components.
Generally, the equation for the expression is mathematically given as
x=√-6
Where
i=√-1
Therefore
x= √6 *√-1
x=√6*i
In conclusion, The expression in terms of i is
x=√6*i
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How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 45% antifreeze?
To obtain a 45% antifreeze solution,
(Simplify your answer.)
...
gallon(s) of water should be added.
1.2 gallons of water should be added to 1 gallon of antifreeze to make it a solution which have 45% of antifreeze.
What is percentage ?Percentage is the value per hundredth.
According to the given question we have to determine how much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 45% antifreeze.
To obtain a 45% antifreeze solution we need (100-45)% = 65% water.
Let us assume that the total mix is of x gallons which contains 45% antifreeze.
∴ The total mix in gallons which contains 45% antifreeze and have 1 gallon of antifreeze is
(45/100)x =1.
0.45x = 1
x = 1/0.45
x= 2.22 gallons of total mix.
∴ Water in this mix which have 45% of antifreeze is (2.22 - 1) gallons which is = 1.22 gallons of water.
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CAN SOMEONE HELP PLS, THE PICTURE IS ALREADY ATTACHED JUST GIVE ME THE ANSWER AND EXPLAIN!!
Answer:
I cant see the picture that clearly but it looks like it'll be about $6.50
it's kinda blurry
Step-by-step explanation:
A scuba diver is 75 feet below sea level. She then ascends 12.7 feet. What is the current depth of the scuba diver?
_____ feet
Answer:
I think it's -62.3 feet
Step-by-step explanation:
So if a scuba diver is 75 feel below sea level that will be -75 feet and if they go up by 12.7 feet that will be -62.3 feet.
Im not quite sure but I hope this helps
11^3 x 11^2 + (14-7) x 7
Answer:
Go
Step-by-step explanation:
go
Determine whether the following relation represents y as a function of x.
((4, 2), (-9, 4), (-7, 3), (1, 5), (8, 12))
function
O not a function
missions Used
range
Submit Answer
MY NOTES
If the relation represents a function, find the domain and range. (Enter your answers as a comma-separated list. If the relation is not a function, enter NONE in the domain and range answer blanks.)
domain
ASK YOUR TEACHER
Answer:xet1234567890987654323456789
Step-by-step explanation:
87654323456789098765434567890
Use a slope formula to solve for the slope
Triangle ABC is transformed to Triangle XYZ. If A(2, 4), B(-1, 0), and C(3, -7) are the points given... The following transformations occured: Refection over the line y=x, rotation 90° counterclockwise, and translation (x + 2, y - 5). Where will point Y be after the transformation? Y( , )'
Points of the triangle ABC after rotating counter-clockwise 90° and translation of [(x+2),(y-5)] will be a triangle XYZ which has points of XYZ, X(6,-7), Y(2,-4), and Z(-5,-8).
What are translations?Translations are of 4 types they are rotation, dilation, translation and reflection.
We know when the rotation of 90° counter-clockwise takes place we switch the coordinates (x,y) to (y,x) and make x negative which is (y,-x).
Given a triangle ABC with points A(2, 4), B(-1, 0), and C(3, -7) rotated 90° to form another triangle XYZ.
∴ Points of triangle XYZ will be X(4,-2), Y(0,1), and C(-7,-3).
Now we translate these points by [(x+2),(y-5)].
∴ Points of triangle XYZ will be X(6,-7), Y(2,-4), and Z(-5,-8).
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I need an answer ASAP Which expression is equivalent to −5 + 8 − 6x − 8x?
14x + 13
−14x − 3
−14x + 3
−14x + 13
Answer:
- 14x +3
Step-by-step explanation:
- 5 + 8 6x - 8x- 6x - 8x - 5 + 8- 14x +3hope this helps u. : )
Find the y-intercept of the line 20x + 20y = -10.
Write your answer as an integer or as a simplified proper or improper fraction, not as an
ordered pair.
Submit
The y-intercept of the given line is -1/2
Y-Intercept means the line making an intercept on the y-axis where the value of x will be 0.
In simple terms, the Y-intercept of any line can be found by making x = 0
The equation of the line given is
20x + 20y = -10
So to find the y-intercept, let us keep x = 0
Thus, the equation becomes
20(0) + 20y = -10
0 + 20y = - 10
20y = -10
y = -10/20
y = -1/2
y = -0.5
The answer need to be in proper fraction as said in the question,
Thus y = -1/2
So, The y-intercept of the given line is -1/2
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Elizabeth uses 28 ounces of vinegar to make 4 batches of salad dressing.
What is true about the rate of change for this situation?
Choose the correct answer from the drop-down menu to complete the statement.
Elizabeth used
ounces of vinegar to make 1 batch of salad dressing. Elizabeth used blank ounces of vinegar to make 1 batch of salad dressing
Answer:
7 ounces
Step-by-step explanation:
You divide 28 by 4 which would equal to 7 ounces per batch.
Elizabeth used 7 ounces of vinegar to make 1 batch of salad dressing.
Given that Elizabeth uses 28 ounces of vinegar to make 4 batches of salad dressing.
We need to determine the rate of change for this situation.
To find the number of ounces of vinegar Elizabeth used to make 1 batch of salad dressing, we need to divide the total amount of vinegar (28 ounces) by the number of batches (4).
The rate of change for this situation is the amount of vinegar used per batch.
Let's calculate it:
Vinegar used per batch = Total vinegar used / Number of batches
Vinegar used per batch = 28 ounces / 4 batches
Vinegar used per batch = 7 ounces
So, Elizabeth used 7 ounces of vinegar to make 1 batch of salad dressing.
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True or false?
It is possible for one person's weight to be 500% more than another person's weight.
Answer:
it's true because
If you brush your teeth twice a day and leave the water running when you brush, how many gallons of water will you waste in one day? In two days? In a week? A month? Any number of days?”
Answer:
Well on average if you leave the water running that's about 4 gallons the first time you brush your teeth. So brushing your teeth twice a day would be on averge 8 gallons a day.
Step-by-step explanation:
Hope this helps......if not sorry for wasting your time and may God bless you<3
3x^2-(4y)^2
When x=5 y=1
Answer: 59
Step-by-step explanation: