Answer:
FICA Tax =$8170.2
Step-by-step explanation:
Given
Total income=$165000
Taxable income=$106800
FICA tax includes Social security tax and medicare tax.
Medicare tax is 1.45% of the taxable wage and social security tax is6.2% of the taxable wage.
1.45% of medicare is paid by the employer and similarly 6.2% social security tax is paid by the employer.
0.9% of medical surtax is deducted if the employee earns more than $200000
So,
Medicare Tax=Taxable income*1.45/100
=106800*0.0145
=$1548.6
Social Security Tax=Taxable Income*6.2/100
=106800*0.062
=$6621.6
As the income of the employee is less than $200000, so there will be no medical surtax.
Total FICA tax=$1548.6+$6621.6
=$8170.2
Rationalise the denominator 5 by√7-√5
⇛{5(√7+√5)}/2.
Step-by-step explanation:
Given,
5/(√7-√5)
The denominator is √7-√5.
We know that
The rationalising factor of √c-√a is √c+√a.
Therefore, the rationalising factor of √7-√5 is √7+√5. To rationalise the denominator of 5/(√7-√5), we multiply this by (√7+√5)/(√7+√5).
⇛{5/(√7-√5)}/{(√7+√5)/(√7+√5)}
⇛{5(√7+√5)}/{(√7-√5)(√7+√5)}
⇛{5(√7+√5)}/{(√7)²-(√5)} [∵ (a-b)(a+b)=a²-b²]
⇛{5(√7+√5)}/{(√7*7)-(√5*5)}
⇛{5(√7+√5)}/(7-5)
⇛{5(√7+√5)}/2
Hence, the denominator is rationalised.
Read more:
Similar Question;
rationalise the denominator 1/√20..
https://brainly.com/question/19473806?referrer
Which of these pairs of events are dependent?
a. You flip a coin and get tails. You flip it a second time and get heads.
b. You pull your friend's name out of a hat that holds 20 different names, replace
name, then draw out your friend's name again.
c. You spin a spinner divided into five equal parts and is numbered 1-5. You get a 3 on the first spin, and then spin again and get a 2 on the second spin.
d. You remove a black sock from a drawer without looking, then remove another black
sock.
Answer:
d
Step-by-step explanation:
a, b, and c are independent, because they don't necessarily affect the probability of each other.
In summary, the pair of events that are dependent is drawing a black sock from a drawer and then drawing another without replacement. This is because the first event changes the conditions for the second, affecting its probability.
Explanation:Whether two events are dependent or independent affects the calculation of their probability. Independent events have no impact on the likelihood of each other occurring, while dependent events do.
Event a (flipping a coin twice) involves independent events because the outcome of the first flip does not affect the second flip's outcome.Event b (drawing a friend's name from a hat, replacing it, and drawing again) also involves independent events as the outcome of the first draw is not affected by the second, thanks to the replacement.Event c (spinning a numbered spinner twice) is another example of independent events since the result of the first spin does not affect the second spin.Event d (removing black socks from a drawer one after another without replacement) involves dependent events because the outcome of the first draw affects the probability of the second; removing one sock changes the total number of socks, which affects the chances of drawing a black sock again.Thus, Event d is the pair of dependent events.
If PA = 6, PD = 4 and BE = 5. Find PE
A) 4
B) 5
C) 6
Answer:
Option A) 4
Step-by-step explanation:
we know that
Applying the Intersecting Secant-Tangent Theorem
[tex]PA^{2}=(BE+PE)( PE)[/tex]
substitute the given values
[tex]6^{2}=(5+PE)( PE)\\ \\36=PE^{2}+5PE\\ \\PE^{2}+5PE-36=0[/tex]
Solve the quadratic equation by graphing
The solution is PE=4 units
see the attached figure
Answer:
The answer is 4
Step-by-step explanation:
please I don’t understand this I need help #2
Answer:
True for B)y=-4x^2+9
Step-by-step explanation:
The a part of the equation is negative (-4x^2), and this quadratic function has a maximum, which means it opens down not up.
(I hope this helps)
EMERGENCY!!PLEASE HELP
What features would need to be included on a scatterplot so that the data can be easily analyzed? Make a list of needed features and explain why each is important to the graph.
The more plot point the better but you must have at least three points, a labeled X-axis and Y-axis, and a table for the data to be organized into.
Answer:
See the explanation below
Step-by-step explanation:
Scatter plot is a graph that employs Cartesian coordinates to show the values of typically two variables plotted on the horizontal and vertical axes for a given set of data. The name of the relationship between the two variables that is shown by the scatter plot is referred to as correlation.
The following are the features of a scatter plot:
1. An X axis also known as the horizontal axis), and a Y axis which is also known as the vertical axis.The reason for these two axes is to obtain the Cartesian coordinates of the two variables X and Y.
2. Dots: There are must be dots on a scatter graph. The purpose of each of the dots is to indicate one observation of the data set.
3. Unique position of each dot: The purpose of the position of each dot is to indicate the meeting point of X and Y values.
Solve for y.
28+19y=-8+15y
symplify your answer as much as possible
A rectangular pyramid is sliced so the cross section is parallel to its base.
What is the shape of the cross section?
triangle
pentagon
trapezoid
rectangle
It’s a trapezoid would be the answer
Answer:
The answer is below :)
Step-by-step explanation:
Lani's mom wants to put a fence around her garden. garden is 22 feet × 18 feet How many feet of fencing will she need?
Answer:
Lani's mom will need 80 ft of fencing
Step-by-step explanation:
We are looking for the perimeter of the garden. We know that the garden is 22 ft x 18 ft. This means that we can find the perimeter using this equation
[tex]22(2)+18(2)=80[/tex]
Over the past 15 years, a business owner has made at most $4,000 in profits each week .Which graph represents the business owner's possible profits each week ? I chose the last one , am I correct????
The graph fourth represents the inequality x ≤ 4000 if in the past 15 years, a business owner has made at most $4,000 in profits each week option fourth is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have:
Over the past 15 years, a business owner has made at most $4,000 in profits each week.
So the peak value is $4,000
Let's suppose the business owner earns $x profit each week, then we can frame an inequality:
x ≤ 4000
From the above inequality, the value of x will be:
x belongs to (0, 4000)
Thus, the graph fourth represents the inequality x ≤ 4000 if in the past 15 years, a business owner has made at most $4,000 in profits each week option fourth is correct.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ2
1) simplify the ratio 15:9:6
2) simplify the ratio 16:20
3) simplify the ratio 36:30
4) simplify the ratio 12:30:24
5) simplify the ratio 12:30
6) simplify the ratio 56:40
7) simplify the ratio 12:4:8
8) simplify the ratio 7.0:4.2
9) simplify the ratio 3:4.5
10) simplify the ratio 1.2:3:2.4
Answer:
1. 5:3:2
2. 4:5
3. 6:5
4. 2:5:6
5. 2:5
6. 7:5
7. 3:1:2
8. 1.0:0.6
9. 1:1.5
10. 0.2:0.5:0.8
Step-by-step explanation:
1. divide everything by 3
2. divide everything by 4
3. divide everything by 6
4. divide everything by 6
5. divide everything by 6
6. divide everything by 8
7. divide everything by 4
8. divide everything by 7
9. divide everything by 3
10. divide everything by 6
Answer::
1. 5:3:2
2. 4:5
3. 6:5
4. 2:5:6
5. 2:5
6. 7:5
7. 3:1:2
8. 1.0:0.6
9. 1:1.5
10. 0.2:0.5:0.8
I hope this helps! :-)
What is the point-slope form of a line that has a slope of –4 and passes through point (–3, 1)?
Answer:
[tex]\large\boxed{y-1=-4(x+3)}[/tex]
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
We have m = -4 and the point (-3, 1). Substitute:
[tex]y-1=-4(x-(-3))\\\\y-1=-4(x+3)[/tex]
Answer:
y-1=-4[x-(-3)]
Step-by-step explanation:
Jack invested $5,280 in a regular savings account that paid
simple interest at a rate of 1.15% per year. How much was
his investment worth in one year?
$6,072
$60.72
$5,340.72
$5,281.15
$5887.20
Final answer:
To calculate the value of Jack's investment after one year, we can use the formula for simple interest: Simple Interest = Principal x Rate x Time. Plugging in the values, we find that Jack's investment will be worth $5,340.72 after one year.
Explanation:
To calculate the value of Jack's investment after one year, we can use the formula for simple interest:
Simple Interest = Principal x Rate x Time
In this case, the principal is $5,280, the rate is 1.15% (which can be written as 0.0115), and the time is one year. Plugging in these values, we get:
Simple Interest = $5,280 x 0.0115 x 1 = $60.72
To find out the total value of the investment after one year, we need to add the simple interest to the principal amount:
Total Value = Principal + Simple Interest = $5,280 + $60.72 = $5,340.72
Therefore, Jack's investment will be worth $5,340.72 after one year.
On Monday, Kevin wrote a check for $575 to pay his rent. On Tuesday, he deposited at
$638. On Friday, he wrote checks for $75 for groceries and S266 for a car repair Wasche
the overall change in his checking account balance for the week, in dollars?
a. -278
b. -916
c. -1554
d. --178
Answer:
a
Step-by-step explanation
-(575+266+75)+638
What is the surface area of the square pyramid?
Answer:
C. 71.2 in²Step-by-step explanation:
We have the square in the base with side a = 4in and four triangles with base a = 4in and height h = 6.9in.
The formula of an area of a square:
A = a²
Substitute:
As = 4² = 16 in²
The formula of an area of a triangle:
A = (ah)/2
Substitute:
At = [(4)(6.9)]/2 = 27.6/2 = 13.8 in²
The Surface Area:
S.A. = As + 4At
Substitute:
S.A. = 16 + 4(13.8) = 16 + 55.2 = 71.2 in²
a square has a diagonal length of 5 cm what is the area of a square
Answer:
Area of square = 12.48 cm^2
Step-by-step explanation:
Since the square has all sides equal, and when diagonal is made, square form two right angled triangles. Using Pythagoras theorem we can find the length of side of the square.
[tex]c^2 = a^2 + b^2[/tex]
where c = 5cm and a==b (square has all sides equal)
Putting value of b = a
[tex](5)^2 = a^2 + a^2\\25 = 2 a^2\\25/2 = a^2\\=> a^2 = 12.5\\ => \sqrt{a^2} = \sqrt{12.5}\\=> a = 3.53\, cm[/tex]
So, length of side of square = 3.53
Area of square = (3.53)^2
Area of square = 12.48 cm^2.
The answer is:
The area of the given square is equal to [tex]12.5cm^{2}[/tex]
[tex]Area=12.5cm^{2}[/tex]
Why?To solve the problem, we don't need to calculate the length of the sides of the square. We are given the diagonal length of the square, so using the following formula, we can calculate the are of the square without knowing the sides:
[tex]Area=\frac{diagonal^{2} }{2}[/tex]
So, substituting we have:
[tex]Area=\frac{(5cm)^{2} }{2}=\frac{25cm^{2} }{2}=12.5cm^{2}[/tex]
Hence, we have that the area of the given square is equal to [tex]12.5cm^{2}[/tex]
Have a nice day!
What is the 8th term of the geometric sequence with this explicit formula?
an= 7• (-2) (n - 1)
Answer:
- 896
Step-by-step explanation:
To find the 8 th term substitute n = 8 into the explicit formula
[tex]a_{8}[/tex] = 7 × [tex](-2)^{7}[/tex] = 7 × - 128 = - 896
The 8th term of the given geometric sequence is -896.
The explicit formula
an = 7 × (-2)(n - 1).
To find the 8th term, simply substitute 8 for n in the formula, giving us:
a(8) = 7 × (-2[tex])^{(8 - 1)}[/tex] a(8) = 7 × (-2[tex])^{7}[/tex] a(8) = 7 × (-128)a(8) = -896If f(x) = -7x+2 and g(x) = square root of x+3,
what is (fºg)(-2)?
Answer:
(fog)(-2)=-5
Step-by-step explanation:
Given
f(x)= -7x+2
and
g(x)= √(x+3)
For finding (fog)(-2), we have to find (fog)(x) first
In order to find (fog)(x) we will put the value of g(x) in f(x) in place of x.
(fog)(x)= -7g(x)+2
Putting the value of g(x)
(fog)(x)= -7√(x+3)+2
We have to find (fog)(-2), so we have to put at the place of x in the composition
(fog)(-2)= -7√(-2+3)+2
(fog)(-2)= -7√1+2
= -7(1)+2
= -7+2
=-5
So,
(fog)(-2)=-5
For this case we have the following equations:[tex]f (x) = - 7x + 2\\g (x) = \sqrt {x + 3}[/tex]
We must find [tex](f_ {o} g) (x):[/tex]
By definition of composition of functions we have to:
[tex](f_ {o} g) (x) = f (g (x))[/tex]
So:
[tex](f_ {o} g) (x) = - 7 \sqrt {x + 3} +2[/tex]
Now, we find f (g (-2)):
[tex](f_ {o} g) (- 2) = - 7 \sqrt {-2 + 3} + 2 = -7 \sqrt {1} + 2 = -7 + 2 = -5[/tex]
ANswer:
-5
Please help will give brainliest
ANSWER
r is not a set of ordered pair
EXPLANATION
A relation is a correspondence between two sets.
In a relation, the elements from one set set (domain) maps on to the elements in a second set(co-domain).
The relation can then be written as an ordered pair (x,y).
The given listing is
r={√3,√5,√7, √13}
This is not an ordered pair so it cannot be a relation.
The third choice is correct.
Answer:
Choice C is correct, r is not a set of ordered pairs
Step-by-step explanation:
A relation between sets of data is a collection of ordered pairs which contain one object from each set. If the element x is from the first set and its corresponding object y from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.
X comprises of the domain while Y makes up the range.
Therefore, r is not a relation since it is not a set of ordered pairs.
help ASAP!!! .........................
Answer: The answer to your question is B.
Step-by-step explanation:
2/7x+1/4x=3/14x+1 help me please
8x+7x=6x+28
15x=6x+28
15x-6x=28
9x=28
X=28/9
I hope this helps
I WILL GIVE BRANLY A librarian kept track of the kinds of books that boys and girls checked out in one day. Which graph best represents this data?
Answer:
You did not give me any graphs but I've dealt with this question and the answer is: The Double Bar Graph if you have the graph that was put for my answer. Good luck, hope this helps. Double Bar Graph information: Vertical double-bar graph with title Books Checked Out. Key shows grey equals boys and pink equals girls. Data graphed is Biography 8 boys and 10 girls, Mystery 18 boys and 15 girls, Science 14 boys and 11 girls, and Sports 12 boys and 14 girls.
Heres the graphs xd (I have the same test)
3/13=×/5 solving for x
Answer:
x = 15/13
Step-by-step explanation:
3/13 = x/5
Using cross products
13*x = 3*5
13x = 15
Divide each side by 13
13x/13 = 15/13
x = 15/13
The first steps in determining the perimeter of triangle ABC are shown.
To the nearest whole unit, what is the perimeter of triangle ABC?
Answer: [tex]P=14units[/tex]
Step-by-step explanation:
The perimeter of a triangle is the sum of the lenghts of its sides.
Given the triangle ABC , its perimeter will be:
[tex]P=AB+BC+CA[/tex]
Then, you know that the lenghts of the sids of the triangle ABC are:
[tex]AB=3units\\BC=5units\\CA=\sqrt{(3)^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}=5.83units[/tex]
Therefore, to find the perimeter of this triangle, you need to substitute these lengthts into the formula [tex]P=AB+BC+CA[/tex].
So, the perimeter of the triangle ABC is:
[tex]P=3units+5units+5.83units=13.83units[/tex]
To the nearest whole unit is:
[tex]P=14units[/tex]
Answer:
14 units
Step-by-step explanation:
.
lots of points and not really hard and wont take too long to solve!!! plz help
Here all you need to know to solve this exercise:
1) When you write the equation of a line in the form
[tex]y=mx+q[/tex]
the slope is the coefficient m.
2) When you know that the line passes through a point [tex](x_0,y_0)[/tex] and has slope m, the equation of the line is given by
[tex]y-y_0=m(x-x_0)[/tex]
3) Let [tex]m_1,m_2[/tex] be the slopes of two lines. If the lines are parallel, then [tex]m_1=m_2[/tex]. If the lines are perpendicular, then [tex]m_1m_2=-1[/tex].
In the first exercise, using point 1, you can see that the slope of the given line is 2. We want a parallel line passing through the given point. So, our line has the same slope, and its equation is (see point 2)
[tex]y-2=2(x+1) \iff y = 2x+4[/tex]
Similarly, in the second exercise, the original slope is 1/3, so the perpendicular slope is -3. The equation will be, imposing the passage through the given point,
[tex]y-6 = -3(x-0) \iff y = -3x+6[/tex]
Answer:
see explanation
Step-by-step explanation:
19
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c yje y- intercept )
y = 2x - 3 is in this form with slope m = 2
• Parallel lines have equal slopes, hence
y = 2x + c ← partial equation of parallel line
To find c substitute (- 1, 2) into the partial equation
2 = - 2 + c ⇒ c = 2 + 2 = 4
y = 2x + 4 ← equation of parallel line
20
Rearrange x - 3y = 5 into slope- intercept form
Subtract x from both sides
- 3y = - x + 5 ( divide all terms by - 3 )
y = [tex]\frac{1}{3}[/tex] x - [tex]\frac{5}{3}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3, so
y = - 3x + c
The line passes through (0, 6) ⇒ c = 6
y = - 3x + 6 ← equation of perpendicular line
Find the volume of a square pyramid with a base area of 18 in.² and a height of 6 in
ANSWER
36 cubic inches.
EXPLANATION
The volume of a square pyramid is calculated using the formula:
[tex]V = \frac{1}{3} {l}^{2} \times h[/tex]
where l² is the area of the base and h= 6 inches is the height of the square pyramid.
We substitute the values into the formula to get,
[tex]V = \frac{1}{3} \times 18 \times 6 \: {in}^{3} [/tex]
We simplify to get:
[tex]V = 6 \times 6 =3 6 {in}^{3} [/tex]
Therefore the volume of the square pyramid is 36 cubic inches.
. Let f(x) = x2 and g(x) = x − 3. Evaluate (g ∘ f)(−2). 1 7 20 −20
For this case we have the following functions:
[tex]f (x) = x ^ 2\\g (x) = x-3[/tex]
We must find[tex](g_ {0} f) (x)[/tex]
By definition we have to:
[tex](g_ {0} f) (x) = g (f (x))[/tex]
So:
[tex]g (f (x)) = (x ^ 2) -3 = x ^ 2-3[/tex]
We must evaluate the composite function for [tex]x = -2[/tex]
[tex]g (f (-2)) = (- 2) ^ 2-3 = 4-3 = 1[/tex]
ANswer:
[tex]g (f (-2)) = 1[/tex]
ANSWER
1
EXPLANATION
The given functions are:
[tex]f(x) = {x}^{2} [/tex]
and
[tex]g(x) = x - 3[/tex]
[tex](g \circ \: f)(x) = f(g(x))[/tex]
[tex](g \circ \: f)(x) = g( {x}^{2} )[/tex]
[tex](g \circ \: f)(x) = {x}^{2} - 3[/tex]
We substitute x=-2 to obtain;
[tex](g \circ \: f)( - 2) = {( - 2)}^{2} - 3[/tex]
We simplify to obtain:
[tex](g \circ \: f)( - 2) = 4- 3[/tex]
[tex](g \circ \: f)( - 2) = 1[/tex]
The first choice is correct.
What set of transformations
Set of transformations is a set conditioned by a function that transforms element from definition set to transformation set.
[tex]f: A\longrightarrow B[/tex], where A is definition set and B is transformation set.
Here is an example.
You are given definition set [tex]A=\{1, 2, 3\}[/tex] and a function [tex]f(x)=x^2[/tex]. To calculate which elements are in transformation set we write [tex]f(A)=\{1, 2, 3\}^2={1, 4, 9}\Longrightarrow\boxed{B=\{1, 4, 9\}}[/tex] and B is now the transformation set of definition set A that is conditioned by function f.
Hope this helps.
r3t40
Simplify the difference. (–7x – 5x^4 + 5) – (–7x^4 – 5 – 9x)
Answer: [tex]2x^4+2x+10[/tex]
Step-by-step explanation:
You need to remember the mulplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]
Knowing this, you can distributive the negative sign. Then you get:
[tex](-7x- 5x^4 + 5) - (-7x^4 - 5 - 9x)=-7x- 5x^4 + 5 +7x^4 + 5 + 9x[/tex]
Now you need to add the like terms. Then:
[tex]=2x+2x^4+10[/tex]
Finally, you can order the polynomial obtained in descending order. Therefore, the answer is:
[tex]=2x^4+2x+10[/tex]
Specify the domain for he function !!! A-B-C-D 10 points. MATH 3
ANSWER
[tex]( - \infty , - \frac{4}{3} ) \cup( \frac{1}{2} , \infty )[/tex]
EXPLANATION
The given function is
[tex]f(x) = \sqrt{ \frac{2x - 1}{3x + 4} } [/tex]
The domain refers to all values of x for which f(x) is defined.
This function is defined if
[tex] \frac{2x - 1}{3x + 4} > 0[/tex]
This implies that
[tex]x \: < \: - \frac{4}{3} \: or \: x \: > \: \frac{1}{2} [/tex]
Or
[tex]( - \infty , - \frac{4}{3} ) \cup( \frac{1}{2} , \infty )[/tex]
What is 24 expressed as a decimal?
Enter your answer in the box.
0.24/100 is the answer
.24 :) i hope this helped