For the first week of January, Janet Foster worked 31 hours. Janet earns $20 an hour. Her employer pays overtime for all hours worked in excess of 40 hours per week and pays 1.5 times the hourly rate for overtime hours.
Calculate the following for the first week of January (round your responses to the nearest cent if necessary):
Regular pay amount
Overtime pay
Gross pay
Answers
Janet's regular pay amount for the first week of January is $620, her overtime pay is $0, and her gross pay is also $620.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
To calculate Janet's regular pay amount, we need to determine how many of her 31 hours were regular hours (not overtime). Since her employer pays overtime for all hours worked in excess of 40 hours per week, we know that any hours worked beyond 40 must be overtime hours. Therefore, we can calculate Janet's regular hours as:
Regular hours = Total hours worked - Overtime hours
Regular hours = 31 - max(0, 31 - 40) (Note: max(0, 31-40) = max(0, -9) = 0)
Regular hours = 31 - 0
Regular hours = 31 hours
So Janet worked 31 regular hours and 0 overtime hours during the first week of January.
Regular pay amount:
Regular pay amount = Regular hours x Hourly rate
Regular pay amount = 31 x $20
Regular pay amount = $620
Since Janet did not work any overtime hours, her overtime pay for the week is $0.
Gross pay:
Gross pay = Regular pay amount + Overtime pay
Gross pay = $620 + $0
Gross pay = $620
Therefore, Janet's regular pay amount for the first week of January is $620, her overtime pay is $0, and her gross pay is also $620.
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Related Questions
a veggie wrap at City Subs is composed of four different vegetables into different condiments wrapped up in a tortilla. If there are 7 vegetables, five condiments, and six types of tortilla available, how many different veggie wraps can be made?
Answers
Answer
The veggie wraps can be made in 1050 ways
Step-by-step explanation:
Total number of vegetables = 7
Number of Tortilla available = 6
Number of condiments = 5
7C4 x 5C4 x 6
The number of ways it could be arranged is
\(\begin{gathered} 7C4\cdot\text{ 5C4 }\cdot6 \\ 7C4\text{ = }\frac{7!}{(7\text{ - 4)!4!}} \\ 7C4\text{ = }\frac{7\text{ x 6 x 5 x 4 x 3 x 2 x 1}}{3\text{ x 2 x 1! 4 x 3 x 2 x 1}} \\ 7C4\text{ = }\frac{7\text{ x 6 x 5}}{6} \\ 7C4\text{ = 35} \\ \\ 5C4\text{ =}\frac{\text{ 5 x 4 x 3 x 2 x 1}}{\text{ 1! 4 x 3 x 2 x 1}} \\ 5C4\text{ = }\frac{\text{ 5}}{1} \\ 5C4\text{ = 5} \\ \\ 35\text{ x 5 x 6} \\ =1050\text{ ways} \end{gathered}\)Hence, the veggie wraps can be made in 1050 ways
Which of the following statements is true?
Select one:
A. triangle B A C approximately equal to triangle G H I space b y space S A S.
B. triangle D E F approximately equal to triangle G H I space b y space S A S.
C. triangle B A C approximately equal to triangle D E F space b y space H L.
D. triangle D E F approximately equal to triangle G H I space b y space H L.
Answers
Answer:
c
Step-by-step explanation:
it's more a gut feeling
What is the value of x?
Enter your answer in the box.
x =
Answers
Answer:
x = 54
Step-by-step explanation:
Vertically opposite angles are equal
Therefore, 2x + 2 = 3x - 52
Subtract 2x from both sides: 2 = x - 52
Add 52 to both sides: 54 = x
Therefore, x = 54
Graph y=4x+3 and y=-x-2
Answers
Answer:
Step-by-step explanation:
Solve by Graphing y=4x+3 y=-x-2. y=4x+3 y = 4 x + 3 y=−x−2 y = - x - 2. Create a graph to locate the intersection of the equations.
Which is the graph of the cube root function f(x) = ^3√x
Answers
Can someone please help me.
Answers
NEED HELP ASAP!! ( NEED DONE WITHIN THREE MINS OF POSTING)
Answers
Answer: i am not positive but i think 2.5 on x and 9, and 27 on y
Step-by-step explanation: just want to help asap
Christie has $200 in her bank account. Every month, she deposits $20 into her account.
The equation of the line that models the amount of money, y, in her account x months from now is y = x .
Answers
Answer:
y = 20x + 200
Step-by-step explanation:
The 200 is the constant. It is only added once, but the monthly deposits are added at 20 every month.
After 1 month:
y = 20x + 200
y = 20(1) + 200
y = 20 + 200
y =220 money deposited.
After 2 months:
y = 20x + 200
y = 20(2) + 200
y = 40 + 200
y =240 money deposited.
After 3 months:
y = 20x + 200
y = 20(3) + 200
y = 60 + 200
y = 260 money deposited
And so on, and so on, and so on...
The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (-); for example, enter x2 as x^2.
Answers
The answer : (x-5)^2 .....................................(x-5)square
For example, for f(x)= x square . For x=1 ,then, y=1 .
But consider the g function. the minimum value that g function has is x is 5. When x is 5, y is 0 . So (x-5)square is the equation of this function.
The complete equation of the blue graph is (x-5)^2.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
Red graph equation= X^2
Now,
In blue graph it shifted by 5 units to the right
For blue graph
x=5
Putting the value of x in red graph equation
=(x-5)^2
=x^2 + 25 - 10x
Therefore, by the given graph function will be (x-5)^2.
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Often we need to use exponents to correctly model the variation in situations:
The volume of a cylinder varies jointly with the square of its radius and its height. Its
general equation looks like V = kr’h where k= some constant number for all cylinders
and V, rand h are variables representing volume, radius and height, respectively. When
the radius is 3 cm and height is 5 cm, the cylinder has a volume of 141.3 cm. Find the
volume when the radius is 6 cm and the height is 10 cm.
Answers
Answer:
V = 1130.4 cm³
Step-by-step explanation:
Given that V varies jointly with r² and h then the equation relating them is
V = kr²h ← k is the constant of variation
To find k use the condition when r = 3 and h = 5 then V = 141.3 , then
141.3 = k × 3² × 5 = 45k ( divide both sides by 45 )
k = 3.14 ← note approximation for π
V = 3.14r²h ← equation of variation
When r = 6 and h = 10, then
V = 3.14 × 6² × 10 = 3.14 × 36 × 10 = 1130.4 cm³
simplify the following expression 3 x 6 + 5 x 2 diveded by 7
I needed the answer in one second please
Answers
Answer:
4
Step-by-step explanation:
-------------
7
18+10
--------
7
28
----
7
4
this figure shows Circle O with diameter QS.
mRSQ = 307°, what is the measure of ROQ.
Enter answer in the Box?
Answers
Hi I really need help with this question I do not know the value of or the measure of
Answers
Answer:
\(\begin{gathered} x\text{ = 30}\degree \\ \angle F\text{ = 60}\degree \end{gathered}\)Explanation:
Here, we want to get the value of x
Let us consider the triangle EFG
From what we see, the angle at G is a right angle
The sum of angles in a triangle is 180 degrees
Mathematically, we have it that:
\(\begin{gathered} 2x\text{ + x + 90 = 180} \\ 3x\text{ + 90 = 180} \\ 3x\text{ = 180-90} \\ 3x\text{ = 90} \\ x\text{ = }\frac{90}{3} \\ x\text{ = 30} \end{gathered}\)Finally, let us get the value of angle F
The angle at F measures 2x
Thus, we have it that:
\(\angle F\text{ = 2(30) = 60}\)how do you find answer to 9/35 - 1/5?
Answers
Answer:
2/35
Step-by-step explanation:
\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)
a Forest covers an area of 3900 km squared. suppose that each year this area decreases by 6.25%, what will the area be after 5 years round your answer to the nearest square kilometer
Answers
Exponential Decay Function
An exponential decaying function is expressed as:
\(C(t)=C_o\cdot(1-r)^t\)Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The initial area of a forest is Co=3,900 squared km. The rate of decay is r=6.25%, expressed in decimal, r = 6.25/100 = 0.0625
Substituting in the formula:
\(C(t)=3,900\cdot(1-0.0625)^t\)Where t is expressed in years. Operating:
\(C(t)=3,900\cdot0.9375^t\)After t=5 years, the area of the forest is:
\(C(5)=3,900\cdot0.9375^5=3,900\cdot0.7242=2,824\)The above result was rounded to the nearest integer.
The area of the forest will be 2,824 square km after 5 years
Steven earns extra money babysitting. He charges $37.00 for 4 hours and $55.50 for 6 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
Answers
Answer:
Step-by-step explanation:
3.2
VI. In a class of 40 students, the marks obtained in Mathematics (out of 50) are as under: 44,50,44,49,42,47,45,42,44,48,49,48,47 49,47,41,45,48,41,48,41,42,47,49,49,48, 50.47.49.48.46.44.45.45.46.44.42.47.48.45 ow answer the following questions: a) b) c) d) e) Find the number of students getting more than 45 marks. Find the number of students getting less than 45 marks. Find the maximum number of students getting the same marks. Find the average marks obtained by the students in the class. Find the number of students getting more than average marks.
Answers
a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.
In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.
Counting these numbers, we find that there are 17 students who obtained more than 45 marks.
b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.
In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.
Counting these numbers, we find that there are 15 students who obtained less than 45 marks.
c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.
In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.
Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.
d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.
Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45
= 1912
Total number of students = 40
Average marks = Total marks / Total number of students
= 1912 / 40
= 47.8
Therefore, the average marks obtained by the students in the class is 47.8.
e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.
In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,
49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.
Counting these numbers, we find that there are 40 students who obtained more than the average marks.
Plzz help. Giving everything!!!!!!!!
Answers
Answer:
A. 25, obtuse
Step-by-step explanation:
By exterior angle theorem:
2x° = 30° + 20°
2x° = 50°
x° = 50°/2
x° = 25°
x = 25
Type of triangle: Obtuse
plsss hurry Solve the application problem. Find the perimeter of a pantry shelf that measures 3 yards by 5/8 yard.
A. 1 7/8 yd
B. 7 1/4 yd^2
C. 1 7/8 yd^2
D. 7 1/4 yd
Answers
braonly designs are cut into thin sheets of colorful paper to make papel picados. it costs $15 for tools and $7 for paper josefina needs to make banners of papel picados.they shell 30 banners for $3 each. use the equation to find m, the amount of money Josefina earns after paying for her supplies(30x3) - (15+7) = m
Answers
The amount of money Josefina earns after paying for her supplies given by 'm' is $72.
Profit is the term used to describe the financial gain experienced when the revenue from a commercial activity exceeds the costs, costs, and taxes associated with maintaining that activity.
Any profits generated are returned to the company's owners, who can decide whether to keep the money for themselves, pay dividends to shareholders, or reinvest it in the company.
The money a firm keeps after deducting all costs is known as profit. The main objective of every business, whether it be a little lemonade stand or a publicly listed multinational corporation, is to make money. As a result, a firm's success is measured by its profitability in all of its forms.
We have,
$15 for tools and $7 for paper
Total amount she spends is (15+7) = $22
She sells 30 banners foe $3 each so,
Total money made is (30 x 3) = $90
By solving the equation we get,
(30x3) - (15+7) = m
m = 90 - 22
m = $ 72
Therefore, the amount of money Josefina earns after paying for her supplies is $72.
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1
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Q10
E
Rounding each number to the nearest 5, estimate the answer to the following
calculation: 52 x 63
Submit Answer
Skip for Now
Answers
Answer:
3280
Step-by-step explanation:
52×63=3276
Round 3276 to 3280
Hope this helps! :)
3.
A train can travel 360 miles in 4 hours. How much time will it take
travelling 585 miles?
Answers
Answer:
6.5 hours
Step-by-step explanation:
We can write a ratio to solve
360 miles 585 miles
---------------- = ------------
4 hours x hours
Using cross products
360 * x = 4* 585
360 x = 2340
Divide each side by 360
x = 2340/360
x =6.5
Compare using >, <, or
9 hours
450 minutes
Answers
Answer:
9 hours > 450 minutes
Step-by-step explanation:
An hour is a period of 60 minutes. 9 times 60 (9 hours) is 540 minutes.
540 > 450 minutes.
9 hours is more than 450 minutes.
9 hours > 450 minutes
Answer:
9 hours > 450 minutes
Step-by-step explanation:
We want to compare 9 hours with 450 minutes.
Let's first convert them to the same units of time: minutes.
There are 60 minutes in an hour, so there are 60 * 9 = 540 minutes in 9 hours.
Clearly, 540 is greater than 450, so we would use > to show that:
9 hours > 450 minutes
~ an aesthetics lover
4) →BRAINLIEST & 10+ POINTS! ← A wheel with diameter 44 cm completes four revolutions in 0.5 seconds. Find the linear speed of the edge of the wheel in cm per second. ⇒Round to the nearest whole number. Linear speed = ____ cm/s
Answers
Answer:
352 cm/s
Step-by-step explanation:
circ = 44pi
speed = distance * time
distance = circ * 4 = 176pi
speed = 176pi/0.5
Answer:
≈ 1106 cm/s
Step-by-step explanation:
linear speed = angular speed x radius of the rotation
v = ωr
v = linear speed (m/s)
ω = angular speed (radians/s)
r = radius of the rotation (m)
------------
Given:
d= 44 cm ⇒ r= 44/2 cm= 22 cmω= 4 rev/0.5 s= 8 rev/s= 8*2π/s= 16π/s (converted rev to radians)Linear speed is:
v= 22*16π cm/s ≈ 1106 cm/s (rounded to full number)HURRY Drag each division expression to the correct location on the table.
Solve each division problem, and classify it based on its quotient.
Answers
Answer: (In order)
25/4 / 6 1/4 = 1
3 1/7 / 2/7 = 11
5/4 / 1/4 = 5
11 1/4 / 9/4 = 5
8 1/4 / 3/4 = 11
3 1/3 / 10/3 = 1
Step-by-step explanation:
Simplify -2(-5) - 7 + 1(-3)
Answers
Answer:
Step-by-step explanation:
BRUH YOU STUPID
Answer:
0
\( \\ solution \\ - 2( -5) - 7 + 1( - 3) \\ = 10 - 7 + ( - 3) \\ = 10 - 7 - 3 \\ = 3 - 3 \\ = 0 \\ hop \: it \: helps...\)
x+11=35 solve on algebraic equation
Answers
Answer:
x = 24
Step-by-step explanation:
x + 11 = 35
x = 35 - 11
x = 24
x+11=35
Subtract 11 on both sides.
x=35−11Subtract 11 from 35 to get 24.
x=24 === AnswerA soccer player has a large cylindrical water cooler that measures 3 feet in diameter and is 4 feet tall. If there are approximately 7.48 gallons of water in a cubic foot, how many gallons of water are in the water cooler when it is completely full? Use π = 3.14 and round to the nearest hundredth. 28.26 gallons 113.04 gallons 211.38 gallons 845.54 gallons
Answers
The volume of the cylindrical water cooler is 211.38 gallons. Therefore, option C is the correct answer.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, a soccer player has a large cylindrical water cooler that measures 3 feet in diameter and is 4 feet tall.
Now, radius = 3/2 =1.5 feet
We know that, the formula to find the volume of a cylinder is πr²h.
Here, 3.14×1.5²×4
= 28.26 cubic feet
In gallons = 28.26×7.48
= 211.38 gallons
Therefore, option C is the correct answer.
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The correct option is C, 211.38. Hope this helps :)
Use the compound interest formula to compute the balance in the following account after the stated period of time, assuming interest is compound manually
Answers
The balance in the savings account after three years would be $5,705.79 if an initial deposit of $5,000 is made into a savings account with an annual interest rate of 5% compounded quarterly.
Compound interest formula can be used to determine the balance in an account after a certain period of time.
The formula used to calculate compound interest is as follows; A = P(1 + r/n)^nt Where; A represents the final amount, P represents the initial amount invested, r represents the annual interest rate, t represents the number of years invested, and n represents the number of times the interest is compounded per year.
Assuming that an initial deposit of $5,000 is made into a savings account with an annual interest rate of 5% compounded quarterly for three years, we can use the compound interest formula to compute the balance in the account at the end of three years. The first step is to calculate the quarterly interest rate. This can be done by dividing the annual interest rate by 4 since there are four quarters in a year. Hence, the quarterly interest rate would be;
r = 5% / 4r = 0.0125
Next, we calculate the total number of compounding periods (n) for three years if the interest is compounded quarterly. Since there are four quarters in a year, the number of compounding periods would be; n = 4 x 3n = 12
Substituting the values obtained into the compound interest formula, we have;
A = P(1 + r/n)^ntA = $5,000(1 + 0.0125/12)^(12 x 3)A = $5,705.79.
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On a number line what is the distance between -5 and 40
Answers
Answer
45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
Take the absolute values of each number and add them because one of the original numbers is positive. 40+5=45