Waymon’s weekly earnings for working 40 hours plus 3 hours of working overtime was $479.27. If $48.47 of that paycheck was overtime pay, what was his hourly rate for the first 40 hours of work?
Answers
Waymon's hourly rate for the first 40 hours of work was $10.77.
What is cost estimate ?
A cost estimate is a calculation of the probable cost of a project, program, or operation. It is an assessment of the resources required to complete a project or task, including the cost of labor, materials, equipment, and any other necessary expenses. Cost estimates are typically created during the planning phase of a project to help stakeholders determine the feasibility of the project and allocate resources appropriately. They may also be used during the execution and control phases of a project to monitor and manage costs, make adjustments to the budget, and ensure that the project remains within budget constraints. Cost estimates can vary in accuracy and detail depending on the stage of the project and the available information, but they are an essential component of effective project management.
Let's first find out how much Waymon earned for working 40 hours without overtime:
Total earnings = earnings for 40 hours + earnings for overtime
$479.27 = earnings for 40 hours + $48.47
Earnings for 40 hours = $479.27 - $48.47 = $430.80
Now, we can calculate his hourly rate for the first 40 hours of work:
Hourly rate = earnings for 40 hours / 40 hours
Hourly rate = $430.80 / 40
Hourly rate = $10.77
Therefore, Waymon's hourly rate for the first 40 hours of work was $10.77.
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Related Questions
What is the quadratic equation for 0=-2x+3x^2
Answers
x = 2/3 , 0 .
Question :
\( {3x}^{2} - 2x = 0\)
use quadratic formula :
\(x = \frac{( - b)± \sqrt{ {b}^{2} - 4ac } }{2a} \)
Solution :
\(a {x}^{2} + bx + c = 0 \\ a = 3 \\ b = - 2 \\ c = 0\)
\(x = \frac{ - ( - 2)± \sqrt{ { (- 2)}^{2} - 4 \times 3 \times 0} }{2 \times 3} \\ \\ x = \frac{2± \sqrt{4 - 0} }{6} \\ \\ x = \frac{2± \sqrt{4} }{6} \\ \\ x = \frac{2± 2}{6} \)
separate into two equations :
\(x = \frac{2 + 2}{6} = \frac{4}{6} = \frac{2}{3} .\)
\(x = \frac{2 - 2}{6} = \frac{0}{6} = 0.\)
the values of x are 2/3 and 0 .
Which ordered pair would form a proportional relationship with the point graphed below?
On a coordinate plane, point (negative 20, 40) is plotted.
(–40, 20)
(–10, –20)
(15, –30)
(5, –15)
Answers
On a coordinate plane, point (negative 20, 40) is plotted.
(–40, 20)
(–10, –20)
(15, –30)
(5, –15)
The answer is c
Answer:
it is c
Step-by-step explanation:
i got it right on egde
Solve each exponential growth/decay word problem
A savings account balance is compounded
annually. If the interest rate is 2% per
year and the current balance is $1,557.00,
what will the balance be 5 years from
now?
Answers
Answer:
$1.720.34
Step-by-step explanation:
to do this problem we can use the exponential growth formula A=p(1+r)^t
substituting our values we get
A = 1,557.00(1+0.02)^5
after solving the equation for A we get that
A after 5 years will be $1,720.34
I need the answers ASAP ? No rocky ?
Answers
Answer:(-1,1) - (4,4)
Step-by-step explanation:
ez
Please help! I'll mark your answer as brainiest if right <3
Answers
Answer:y=9
Step-by-step explanation:
y=mx+9
Swap sides so that all variable terms are on the left hand side.
mx+9=y
Subtract 9 from both sides.
mx=y−9
The equation is in standard form.
xm=y−9
Divide both sides by x.
x
xm
=
x
y−9
Dividing by x undoes the multiplication by x.
m=
x
y−9
Solve for x
{
x=
m
y−9
,
x∈R,
m
=0
y=9 and m=0
Answer:
Y=1
Step-by-step explanation:
(3,1)
(x,y)
Y=mx+c
1=m3+c
When signing the lease for her new apartment, tanya paid a security deposit that earned 4% simple annual interest. at the end of a year, the interest earned on the security deposit was $17.50. how much was the security deposit? $18.20 $420.00 $437.50 $455.00
Answers
The security deposit that Tanya paid for her new apartment is $437.50.
To calculate the security deposit, we can use the formula for simple interest: Interest = Principal * Rate * Time. We know the interest earned is $17.50, and the rate is 4%. Let's assume the security deposit is represented by the variable "x". We can plug these values into the formula:
$17.50 = x * 4% * 1 year
To solve for x, we can first convert the percentage to a decimal by dividing it by 100:
0.04 * x = $17.50
Next, we can isolate x by dividing both sides of the equation by 0.04:
x = $17.50 / 0.04
Calculating this, we find that x is equal to $437.50.
Therefore, the security deposit that Tanya paid for her new apartment is $437.50.
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suppose we want a 90% confidence interval for the average amount spent on books by freshmen in their first year at a major university. the interval is to have a margin of error of $2. based on last year's book sales, we estimate that the standard deviation of the amount spent will be close to $30. the number of observations required is closest to
Answers
we would need at least 678 freshmen to make purchases to estimate the average amount spent on books in their first year with a 90% confidence interval and a margin of error of $2, assuming the estimated standard deviation of the amount spent is $30 based on last year's book sales.
To calculate the number of observations required to achieve a 90% confidence interval with a margin of error of $2 and an estimated standard deviation of $30, we can use the following formula:
n = (z * σ / E)^2
Where n is the number of observations required, z is the z-score for the desired confidence level (in this case, 90%, which corresponds to a z-score of 1.645), σ is the estimated standard deviation ($30 in this case), E is the desired margin of error ($2 in this case).
Substituting the values given:
n = (1.645 * 30 / 2)^2 = 677.89
Rounding up to the nearest integer, the number of observations required is 678.
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Colin and amil Each built boxes with a volume of 8 ft.³ Collins box is a cube almils box is a rectangular prism the length of amils box is twice the length of Collins box all of the side measures are whole numbers what could be the length width and height of amils box
Answers
Answer:
4' x 2' x 1'
Step-by-step explanation:
Collins' cube has a volume of that is the length of any side, x, cubed: Vol = x^3. Since his box has 8^3, we can say that x = 2. [2^3 = 8]
Amil's box has one side that is 2x. That side would be 2*2 = 4 feet. His volume is also 8 ft^3. Amil's box also has a volume of 8 ft^3.
His box dimensions are therefore: (4)(X)(Y) = 8 ft^3 , where X and Y are whole-number dimensions for the other 2 dimensions of his box.
(4)(X)(Y) = 8 ft^3
X*Y = 2
The only combination of whole numbers for which this this would work is 1 and 2.
Amil's box is 4' x 2' x 1' or 8 ft^3
Consider the following table: Female Male Total Republican 105 115 220 Democrat 150 103 253 Independent 150 179 329 Total 405 397 802 What is the probability a voter is either female or Democrat?
Answers
The probability that a voter is either female or Democrat is 0.64 or 64%.
To calculate the probability, we need to determine the number of individuals who are either female or Democrat and divide it by the total number of voters.
From the table, we can see that there are 405 females and 253 Democrats. However, we need to be careful not to double-count the individuals who fall into both categories.
To find the number of individuals who are either female or Democrat, we add the number of females (405) and the number of Democrats (253), and then subtract the number of individuals who are both female and Democrat (150).
So, the number of individuals who are either female or Democrat is 405 + 253 - 150 = 508.
Now, we divide this number by the total number of voters, which is 802, to get the probability: 508 / 802 ≈ 0.64 or 64%.
Therefore, the probability that a voter is either female or Democrat is approximately 0.64 or 64%.
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use benchmark to compare 4/5 and 0.9
Answers
The comparison of the values 4/5 and 0.9 using a benchmark of 1 indicates that 0.9 > 4/5
What is a benchmark?A benchmark is a point of reference to which two or more quantities can be compared such that it can be used to provide a values guagemark indication
A benchmark that is commonly used is 1
Therefore;
Converting 4/5 into decimals, to be in the same format as 0.9, we get;
4/5 = 0.8
The numbers 0.8 and 0.9, compared with 1 indicates that
1 is larger than 0.8 and 0.9 and 0.9 is closer to 1 in value than 0.8, therefore;
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What are the values of x and y?
Answers
Using linear pairs, \(y=102\).
Using the angle sum in \(\triangle TRS\), \(x=70\).
x = 70 for angle x
y = 102 for angle y
Step by step
Angle “y” is a supplemental angle with 78, so the sum of both angles would = 180.
180 - 78 = 102 for angle y
Angle “x”
Triangle RST angles will total 180.
We know angle T = 32 and R = 78
180 - 32 - 78 = 70 for angle x
You can check your work by adding the three angles of the larger triangle QST, it will = 180
Angle T is 32 + 21 = 53
Angle Q is 57
Angle X is 70
53 + 57 + 70 = 180
Problem solved!
Determine the value of x. images attached.
Answers
Answer:
The answer is option AStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of x
To find the value of x we can use either sine or cosine
Using sine we have\( \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)
Using cosine we have\( \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)
Hope this helps you
There are 2 mixtures of light red paint.
Mixture A is made with 5 cups of red paint and 2 cups of white paint.
Mixture B is made with 8 cups of red paint and 3 cups of white paint.
Which mixture is a lighter shade of red?
Answers
A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.2 centimeters in diameter. The variance of the bolts should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level? Step 1 of 5: State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary. A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.2 centimeters in diameter. The variance of the bolts should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level? Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is twotailed, separate the values with a comma. Round your answer to three decimal places. A bolt manufacturer is very concerned about the consistency with which his machines produce boits. The bolts should be 0.2 centimeters in diameter. The variance of the boits should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level?
Answers
To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).
Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.
Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).
If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.
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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).
Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.
Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).
If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.
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Find the missing side. Round your answer to the nearest tenth.
Answers
Answer:
26.1 to the nearest tenth.
Step-by-step explanation:
tan 43 = x / 28
x = 28 tan 43
= 26.1102
Select the correct answer.
To have $25.000 to spend on a new car in five years, how much money should fill invest today at 8% compounded monthly?
Answers
Answer:
$16,780
Step-by-step explanation:
By visiting homes door-to-door, a municipality surveys all the households in 149 randomly-selected neighborhoods to see how residents feel about a proposed property tax increase. Identify the type of sample that is being used.
Answers
The type of sample being used in this scenario is a cluster sample, where the municipality surveys all households in 149 randomly-selected neighborhoods door-to-door to gather residents' opinions on the proposed property tax increase.
In a cluster sample, the population is divided into groups or clusters, and a subset of clusters is selected for data collection. In this case, the neighborhoods are considered the clusters, and 149 randomly-selected neighborhoods are surveyed.
The advantage of using a cluster sample is that it simplifies the sampling process by grouping individuals together based on their proximity. By visiting homes door-to-door within each selected neighborhood, the municipality can efficiently gather information from a diverse range of households without the need to individually select households from the entire population.
However, it's important to note that the use of a cluster sample introduces a potential for clustering effects, where individuals within the same cluster may have similar opinions or characteristics. This clustering effect needs to be taken into account during data analysis to ensure accurate representation of the entire population.
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Find the equation in polar coordinates of the line through the origin with slope 1/8. theta =
Answers
The equation in polar coordinates of the line through the origin with a slope of 1/8 is given by θ = arctan(1/8).
In polar coordinates, a line passing through the origin can be represented by an equation of the form θ = arctan(m), where m is the slope of the line.
Given that the slope of the line is 1/8, substitute this value into the equation: θ = arctan(1/8).
Use a calculator or trigonometric tables to calculate the arctan(1/8):
θ = arctan(1/8) ≈ 0.1244 radians (approximately)
The result is in radians, which is the standard unit for angles in polar coordinates.
The equation in polar coordinates of the line passing through the origin with a slope of 1/8 is θ = arctan(1/8), where θ represents the angle measured in radians.
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guys im in school right now helppppppp please xoxo
Answers
Answer:
question A: 50%
Step-by-step explanation:
For question A: the percentage is ( enroll(2014) - enrol(2012) ) / enrol(2012) for that is 0.5 = 50%, same method for the other questions
what is the time after 5 hours to 8:40 a.m.
Answers
Answer:
The time would become 13:40
Step-by-step explanation:
8 in 8:40 is hours
40 in 8:40 is minutes.
Answer:
1:40pm
Step-by-step explanation:
Someone actually help instead of taking the points
Answers
Answer:
So we are told they are congruent: Hence
So by parallel line congruence D is 61 degreeAnswer and Step-by-step explanation:
Due to the transversal line from point D to point B, angle ABC and angle CDE are congruent. To find x, we set them equal to each other.
61 = 2x
Divide each side by 2.
30.5 = x
#teamtrees #PAW (Plant And Water)
let d be the difference in the number of puzzles solved by two randomly selected subjects in a 5-minute period. what is the standard deviation of d?
Answers
A randomly selected subject has a 0.40 probability of completing more tasks than expected in 5 minutes while listening to relaxing music.
The Probability distribution is:
X 1 2 3 4
P(x) 0.20 0.40 0.30 0.10
If listening to soothing music, the expected number of puzzles in 5 minutes can be calculated as follows:
E(x) = ∑x p(x)
⇒ E(x) = 1 ×(0.20) + 2× 0.40 + 3 × 0.30 + 4× 0.1
⇒ E(x) = 0.20 + 0.8 + 0.9 + 0.4
⇒ E(x) = 2.3
Thus, a randomly selected subject could solve 5 puzzles while listening to soothing music. The probability of solving more tasks than expected in a minute is calculated as:
P( X > 2.3) = P(X = 3) + P(X = 4)
= 0.30 + 0.10
= 0.40
Explanation for other option:
(a) The probability that a randomly selected participant completes more tasks than expected in 5 minutes while listening to relaxing music does not equal 0.1.
(c) 5 randomly selected participants. The probability of completing more tasks than expected in a minute of listening to relaxation music does not equal 0.8.
(d) The probability that a randomly selected participant completes more tasks than expected in 5 minutes while listening to relaxing music is not equal to 1.
(e) The likelihood of randomly selected participants completing more tasks than expected in 5 minutes while listening to relaxing music cannot be determined.
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Which of the following is not a polynomial?
a.4/x+x/7
b.x^2-4
c.-4/7
d.x^2-4+7x
Answers
The expression which does not represent a polynomial among the given answers choices is; Choice A; 4/x + x/7.
Which answer choice does not represent a polynomial?As evident in the task content; the answer choice which is not a polynomial is to be identified.
On this note, recall that a polynomial requires that the power of the variables is greater or equal to zero.
Since x exists as a denominator (with power -1) in the answer choice A;
Ultimately, the expression which is not a polynomial is; Choice A: 4/x + x/7.
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Pleasee helpp Using the graph, write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
I think it is y=5x+(-3)
Step-by-step explanation:
1) find slope (it's up 5 over 1) simply 5
2) Find y-intercept. point on the y-axis. in this case, it's -3
help me plssssssssssssssssss
Answers
Answer:
78.5
Step-by-step explanation:
Radius: 12.5
Circumference: 2 π r
Circumference: 2 π 12.5 = 78.54
Hope this helps!
Answer: C ≈78.54
Step-by-step explanation:
C=2πr
C=2 π (12.5)
C=25π
C≈78.54
What is the sum of -12, 5, and -10?
0-27
0-17
O 17
O 27
Answers
Answer:
The answer is -17
Step-by-step explanation:
Add all the numbers together:
-12-10 is -22
Then -22+5= -17
Which region had the greatest growth in percentage of households with a computer between 2008 and 2018
Answers
The Africa region saw the largest increase in the proportion of households with computers between 2008 and 2018.
Which US has the lowest number of net customers?The least connected US in the arena is dictator-ruled Eritrea, located in the Horn of Africa, where it is most effective. Her 91% of citizens have internet access.In rural areas, almost a quarter of the population (14.5 million people) do not have access to this service. Nearly one-third of the population is inaccessible in tribal areas. Even in areas where broadband is available, about 100 million Americans are still unsubscribed.North Korea tops the list with near-zero internet penetration as citizens remain blocked from the internet.Interestingly, a small but growing percentage of offline households (4% in 2021) is reporting no internet access in the area, outnumbering households reporting their computers are not working. (Which was a big barrier 10 years ago). It was used but seems to have decreased significantly over time.To learn more about least net customers refers to:
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PLEASE HELP IMMEDIATELY!!!!
Select all of the zeroes of the function.
Answers
Answer: A C and D
Step-by-step explanation:
Answer: A B
Step-by-step explanation: because I sadly had to figure it out, anyways hope this helps y'all
Tyler’s brother works in a shoe store.
a. Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $1000 worth of shoes. How much was his commission?
b. The store bought a pair of shoes for $50, and sold it for $80. What percentage was the markup?
c. Tyler’s brother earns $14 per hour. The store offers him a raise—a 5% increase per hour. After the raise, how much will Tyler’s brother make per hour?
Answers
A. In a case whereby Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $1000 worth of shoes his commission is $22.50
B. The percentage markup was $30
C.In a case whereby aTyler’s brother earns $14 per hour. The store offers him a raise—a 5% increase per hour the amount Tyler’s brother make per hour is 12.60
How can the commissionand percentage be calculated?The concept that will be used here is commision and percentage.
A. Therefore, a commission is often a percentage of a sale. Suppose, for illustration, that I own a cookie company. I take you on as a seller and inform you that you will receive a 10% commission for each box you sell. Given that the box of cookies costs $5.00,
you would get $5.00 * (.10), or $0.50, for each successful box you sell. Therefore, if you sell 200 boxes in a week and earn $0.50 per box, your total commission would be $0.50 * 200 = $100!
Thus, Tyler's brother sold shoes valued a total of $900. In the event that he earns a 2.5% commission, his reward will be [ $900 * (0.025) ]= $22.50 for his work.
B. The Markup on the shoe =Amount sold - purchase price
Markup = [$80 - $50]
= $30
Percentage Markup is :$30/50 *100 = 60%
C. 5% of 12 can be calculated as 5/100*12= 0.60
[12 + 0.60 ]
= 12.60
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What is the sequence of transformations that maps △ABC to △A′B′C′?
Select from the drop-down menus to correctly identify each step.
Step 1:
Choose...
Step 2:
Choose...
Two triangles on the coordinate plane. Triangle ABC A (-1,1) B (-3,5), and C (-6,5) Triangle A'B'C' A' (1 ,5) B' (5,3) C' (5,0)
Answers
The sequence of transformations that maps △ABC to △A′B′C′ is as follows: Reflecting the triangle ABC on the x-axis will be followed by translating it 2 units to the right to obtain A'B'C'.
Reflecting A'B'C' about a line that goes through (-1, 3) and (3, 3) will result in the final image A'B'C'. The given two triangles are; Triangle ABC with the coordinates of vertices A (-1,1), B (-3,5), and C (-6,5).Triangle A'B'C' with the coordinates of vertices A' (1,5), B' (5,3), and C' (5,0).
The coordinates of the reflected vertices are as follows: Coordinates of A" = (−1,−1)Coordinates of B" = (−3,−5)Coordinates of C" = (−6,−5)As we see that the vertex A" is not at its required position so we will shift the triangle two units right. Therefore, the coordinates of A'B'C' will be as follows: Coordinates of A' = (1,−1)Coordinates of B' = (5,−5)Coordinates of C' = (8,−5).
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