The annual income of Juan Vance is $12,955.17.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
In order to pay for Social Security and Medicare, the Federal Insurance Contributions Act(FICA) mandates payroll deductions from both employers and employees.
Given, Juan Vance's Weekly salary is $231.67.
∴ Annually Juan earns $(52×231.67) = $12,046.84.
FICA deducts 7.51% from it and then combines another 7.51% with the employee,
∴ The net annual income of Juan Vence is
= [{12046.84 - (7.51/100)×12046.84 + {(7.51 + 7.51)/100}×12046.84}]
= (12046.84 - 904.71 + 1813.04}.
= $12,955.17
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Write as an expression. 13 more than x times 5
Answer:
5x + 13
Step-by-step explanation:
x times 5 is 5x.
13 more than 5x is 5x + 13, or 13 + 5x. (Same thing.)
The required expression is 5x + 13.
It is required to find the required expression.
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.
Given:
The given problem is 13 more than x times 5.
According to given question we have,
x times 5 is 5x.
13 more than 5x
= 5x + 13
Therefore, the required expression is 5x + 13.
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The ride runs for 3 minutes. The disc
completes one up and down cycle every 45
seconds. How many complete up and down
cycles will occur during a single ride?
SHAWTY BAE HELP ASAP I NEED IT
Answer:
IM NOT SURE SHAWTY BAE
Step-by-step explanation:
If we want to provide a 95% confidence interval for the mean of a population, the confidence coefficient will be
Step-by-step explanatiosorry don't understand question be more specific
Dan rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 15.
Answer:
\(\frac{1}{18}\)
Step-by-step explanation:
If there are six sides on a die then there are 36 different rolls
The factors of 15 are (3×5) and (5×3) so you would get 2/36
When you simplify that you get 1/18
I hope this helps!!
Step-by-step explanation:
there are six squares in each dice so 3×5=15 and 5×3=15answer is 1/8is there any apps i could use for chem also help me with this please. its math
Answer:
Periodic table, Chemistry Master 2019, Periodic table, and Chemistry Calculator
Step-by-step explanation:
That's all I know, tried, and have heard of. The math, I would try to help but I don't know what the second "Statements" and "Reasons" part is.
Sorry, hope the apps help though
There has been a person on here posting the same link to many answers, can you please delete their account? Thanks.
Yeah... they should.
642.5 x 20
long divisor
Answer:
i belive its 12850
Step-by-step explanation:
If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a three?
Answer: The best prediction possible for the number of times you roll a three is 1/6 of a roll.
Step-by-step explanation:
When you find the statistics of something like rolling a die, you will need to divide how many times you roll the die by how many sides are on the die.
6 - how many times you roll the die
6 - how many sides are on the die
When you divide 6 by 6, you will get one. Since both of the statistical numbers are the same, you will get an 1/6 chance of rolling a 1, 2, 3, 4, 5, and 6. So 1/6 is the answer! Hope this helps!!!
P.S (I learned this in 5th grade :))
find the area of rectangular ground of length 25 square root 3 and breadth 20 square root 6 meter
Answer:
500 square root and 18 metres
Leah Deposited $7000 in an account that earns 2% interest compounded annually. How much interest will she have earned after 6 years?
Answer:
840
Step-by-step explanation:
7000×2×6 ÷ 100. since it is 2%
= 840
The first number is 5 less than 3 times the second number. Four times the first number
minus two times the second number is ten. Find the numbers.
Answer:
The first number is 4, the second is 3
Step-by-step explanation:
We can make 2 equations, let x be the first number, and y be the second number.
x = 3y - 5
4x - 2y = 10
We sub x = 3y - 5
=> 4(3y - 5) - 2y = 10
=> 12y - 20 - 2y = 10
=> 10y - 20 = 10
=> 10y = 30
=> y = 3
Sub y = 3 into x = 3y - 5
x = 3(3) - 5
x = 4
Therefore, the first number is 4, and the second is 3
If A is an n x n matrix and Ax = λx for some scalar λ, then x is an eigenvector of A. T/F
The definition of an eigenvector of A with eigenvalue λ.
If A is an n x n matrix and Ax = λx for some scalar λ, then x is an eigenvector of A. True or False?True.
By definition, an eigenvector of a matrix A is a non-zero vector x that satisfies the equation Ax = λx, where λ is a scalar called the eigenvalue corresponding to x.
So if Ax = λx for some scalar λ, then x is a non-zero vector that satisfies the definition of an eigenvector of A with eigenvalue λ.
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Regression is typically carried out to develop a mathematical model of the process.
True. Regression is commonly used to develop a mathematical model of a process.
Regression analysis is a statistical method used to model the relationship between a dependent variable and one or more independent variables. The goal is to develop a mathematical equation that describes the relationship between the variables and can be used for prediction or inference.
By fitting a regression model to a dataset, we estimate the coefficients of the model that quantitatively describe how the independent variables affect the dependent variable. This process involves finding the best-fitting line or curve that minimizes the differences between the observed data points and the predicted values from the model.
The resulting mathematical model can then be used to make predictions, understand the relationship between variables, identify significant predictors, and assess the statistical significance of the model.
Therefore, regression analysis is indeed carried out to develop a mathematical model of the process under investigation, making the statement true.
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What are the domain and range of y = -2(x-4)² + 1?
A. D: x > 4 and R: all real numbers
B. D: x ≤ 4 and R: all real numbers
C. D: all real numbers and R: y ≤ 1
D. D: all real numbers and R: y ≥ 1
Answer:
he correct answer is D: all real numbers and R: y ≥ 1.
Step-by-step explanation:
In pedros town 42% of the houses have both internet service and a home phone. If 82% of all the houses in his town have internet service, what is the probability that a house has a home phone if it has internet service?
Answer: 0.51
Step-by-step explanation:
We know that:
For a random selection, we have a probability of 0.42 where the house has both services and a probability of 0.82 that the house has only internet service.
Let's suppose that the percentage of houses the houses with internet service (the 82% of the total) that also have a home phone is X
Then we must have that, (X/100%) times the 0.82, must be equal to 0.42
(X/100%)*0.82 = 0.42
X = (0.42/0.82)*100% = 51%
This means that 51% of the houses with internet service, also have a home phone.
Then the probability that a house has a home phone given that it has internet service, is equal to:
51%/100% = 0.51
The probability is 0.51
planets around other stars can be detected by carefully measuring the ___ of stars
Planets around other stars can be detected by carefully measuring the "brightness" or "light intensity" of stars.
When a planet orbits a star, it causes a slight change in the brightness or light intensity of the star. This is known as the transit method of planet detection. As the planet passes in front of the star from our line of sight, it blocks a small portion of the star's light, causing a temporary decrease in its brightness. By carefully measuring these changes in brightness over time, scientists can infer the presence and characteristics of planets orbiting the star. This method has been instrumental in the discovery of numerous exoplanets in recent years.
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Avery bought 6.5 pounds of oranges. If the oranges are priced at $1.80 per pound, how much change did Avery
get back from a $20 bill.
4b - 7 - 15b + 3 simplified
Find the standard form of the equation of the parabola with the given characteristics. Vertex: (-6, 1); focus: (-6, 0)
Answer: \((x+6)^2=-4(y-1)\)
Step-by-step explanation:
Given
Vertex of the parabola \((-6,1)\)
Focus of the parabola \((-6,0)\)
As the x coordinate of vertex and focus is same and focus lie below the vertex, therefore the parabola is the type of
\((x+6)^2=-4a(y-1)\)
distance between Vertex and focus is 1 unit
\(\therefore a=1\)
Parabola becomes
\(\Rightarrow (x+6)^2=-4(y-1)\)
Analyze the following table of values and select the true statement.
y -1 -2 -4 -8 -32 -64
x 0 1 2 3 5 6
The relationship is linear.
The relationship is quadratic.
The relationship is exponential.
The relationship is neither linear, quadratic, nor exponential.
15 points!
Solve n = 2xy-1/zy for x
If you bought a stock last year for a price of $120, and it has gone down 10% since
then, how much is the stock worth now, to the nearest cent?
Answer:
it is now at 108
Step-by-step explanation:
10% of 120 is 12 120-12=108
Popular magazines rank colleges and universities on their ""academic quality"" in serving undergraduate students. Describe two categorical variables and two quantitative variables that you might record for each institution.
Answer:
Quantitative: i) The number of students in the school vis - a - vis the number of classes in the school. In order words, simply number of students per class
ii) The rate of graduation of students.
Categorical:i) Courses being taken by students
ii) Region of country of students.
Step-by-step explanation:
To answer this question effectively, it's important for us to know that a quantitative variable usually has numerical values, and also have units of measure as well while categorical variables simply places each student into a specific category.
Now, the two quantitative variables we will consider are;
i) The number of students in the school vis - a - vis the number of classes in the school. In order words, number of students per class
ii) The rate of graduation of students.
Also, the two categorical variables we will consider are;
i) Courses being taken by students
ii) Region of country of students
1, 3, 2, 2, 1, 3, 3, 1 What is the mean absolute deviation
Answer:
6
Step-by-step explanation:
Given the data:
1, 3, 2, 2, 1, 3, 3, 1
The mean absolute deviation :
Sum of (1, 3, 2, 2, 1, 3, 3, 1) = 16
Mean = 16 / 8 = 2
Mean absolute deviation :
|1 - 2|+ |3 - 2| + |2 - 2| + |2 - 2| + |1 - 2| +|3 - 2| + |3 - 2| + |1 - 2|
= 1 + 1 + 0 + 0 + 1 + 1 + 1 + 1
= 6
5
?
Find the arc length of the partial circle.
Either enter an exact answer in terms of Tor use 3.14 for and enter your answer as
decimal.
units
Answer:
its 7.5 pi
Step-by-step explanation:
The length of the arc of the particle circle is equal to 23.55 units
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here the radius of the circle as 5 units thus the length of the arc which makes an angle of π-π/2=3π/2 is angle subtended at the centre times the radius of the circle
Arc length = 5×3π/2
= 15π/2
= 15×3.14 /2
= 23.55 units
Hence The length of the arc of the particle circle is equal to 23.55 units
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A group of friends wants to go to the amusement park. They have no more than $245
to spend on parking and admission. Parking is $9.25, and tickets cost $25.75 per
person, including tax. Which inequality can be used to determine p, the maximum number of people who can go to the amusement park?
Answer:
9.25 + 25.75p ≤ 245
Step-by-step explanation:
I didn't see any inequality options to select from . . .
if the price of small box is $20 and the price of large box is $45. what is the greatest amount of money he received when he sells all the boxes he has made? For this amount of money how many boxes of each size did he make
Answer:
in order to know the money that he receive first the type and amount of box must be described unless the question may not have answer.
Graph the relation shown in the table. Is the relation a function? Why or why not?
Answer:
what can i help u with
Step-by-step explanation:
No; the relation passes the vertical-line test. Yes; only one range value exists for each domain value
Yes; two domain values exist for range
yes; only one range value exists for each domain.
Consider the data set.
30, 6, 16, 20, 22, 25, 26, 6, 19, 20, 21
Which box-and-whisker plot correlates with the data set?
Without a visual aid, it is not possible to provide a specific answer as to which box-and-whisker plot correlates with the given data set. However, we can describe the characteristics of a typical box-and-whisker plot and how it is constructed.
A box-and-whisker plot is a graphical representation of a data set that shows the distribution of the data and its central tendency. The box in the plot represents the interquartile range (IQR), which is the range of values that fall within the middle 50% of the data. The line inside the box represents the median, which is the middle value of the data set when arranged in order. The whiskers extending from the box represent the range of the data, excluding outliers. Outliers are any data points that fall more than 1.5 times the IQR above the upper quartile or below the lower quartile.
To construct a box-and-whisker plot, we first arrange the data set in order from smallest to largest. Then, we find the median and the quartiles (the values that divide the data into quarters). The first quartile (Q1) is the median of the lower half of the data, and the third quartile (Q3) is the median of the upper half of the data. The IQR is then calculated as Q3 - Q1. The whiskers extend from the box to the smallest and largest data points that are not outliers. Any data points that fall outside the whiskers are plotted as individual points or asterisks to indicate outliers.
Therefore, to determine which box-and-whisker plot correlates with the given data set, we would need to see the plots and identify which one has a box representing the IQR, a line inside the box representing the median, and whiskers representing the range of the data, excluding outliers. Additionally, we would need to identify any outliers in the data set and see if they are represented in the plot.
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