If the income is $54730 and state tax rate is 3.5% then the amount of tax that Erica Matthews needs to pay is $1915.55.
Given that the income is $54730 and state tax rate is 3.5%.
We are required to find the amount of tax that Erica Matthews need to pay.
State Government is basically tax that is levied by state government on the people living in that state.State governments basically use taxpayer dollars to fund road maintenance, law enforcement agencies and other public services.
Income=$54730
Tax rate=3.5%
Tax=54730*3.5/100 (We assumed that full amount is taxable.)
=$1915.55
Hence if the income is $54730 and state tax rate is 3.5% then the amount of tax that Erica Matthews needs to pay is $1915.55.
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The Earth’s total land area is 57,308,738 square miles. The land area of North America is about 16.5% of this total. Estimate the land area of North America. Describe your strategy.
The land area of North America is 9,455,941.77 square miles.
What is the land area of North America?Percentage can be described as the fraction of an amount expressed as a number out of hundred. Percentage is a measure of frequency. The sign used to represent percentages is %.
In order to determine the land area of North America, multiply the total land area of the Earth by the percentage of the land area of North America.
Land area of North America = percentage of the land area of North America x total land area
16.5% x 57,308,738
0.165 x 57,308,738 = 9,455,941.77 square miles
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im so confused on this (help ASAP)
Answer:
x = 4
Step-by-step explanation:
Perimeter of triangle: P = (5x -1) + (5x -1) + (2.2x + 10)
Perimeter of square: P = 4(6.5x - 11.8)
so (5x -1) + (5x -1) + (2.2x + 10) = 4(6.5x - 11.8)
5x - 1 + 5x - 1 + 2.2x + 10 = 26x - 47.2
12.2x + 8 = 26x - 47.2
26x - 12.2x = 8 + 47.2
13.8x = 55.2
x = 55.2/13.8 = 4
Part 1: Use complete sentences to explain why solar flares occur.
Part 2: Give two examples in which solar flares impact Earth.
Some consequences of solar flares on Earth are: radio blackouts, intense auroras, damage to communication satellites, among others.
What is a solar flare?A solar flare is a term that refers to a sudden and intense release of electromagnetic radiation in the Sun's Chromosphere. In general, what happens in a solar flare is that the plasma is heated to tens of millions of degrees kelvin; this accelerates electrons, protons, which in turn produces electromagnetic radiation in all wavelengths of the electromagnetic spectrum.
How do solar flares impact the Earth?Strong solar flares can cause different manifestations on Earth such as:
By sending huge clouds of plasma into space that hit the Earth they can cause geomagnetic storms and intense auroras.Some larger waves can trigger radio blackouts.Some waves can cause power outages and damage communication satellites.Some waves can damage electronic equipment and the equipment of astronauts or passengers on high-flying aircraft.Learn more about solar flares in: https://brainly.com/question/2886237
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3. Rhombus KLMN with vertices K(-3, 2), L(1, 4),
and N(-5, -2): (x,y) → (x+2, y-5)
The translated vertices of the rhombus are: K(-1,-3), L(3,-1), M(1,-5) and N(-3,-7)
The rhombus is a parallelogram which has all sides equal. the diagonals of a rhombus bisect at right angles. the difference between a rhombus and a square is that none of the angles of a rhombus are 90°.
To translate a figure with given co-ordinates into another figure with a particular translation we simply add or subtract the given values from the coordinates of the available points.
Given co-ordinates of Rhombus are K(-3, 2),L(1, 4),M(-1 ,0)and N(-5, -2).
The translation is given as (x,y) → (x+2, y-5)
So we calculate the coordinates as:
The translated co-ordinate K(-3, 2)→ K'(-1,-3)
The translated co-ordinate L(1, 4)→ L'(3,-1)
The translated co-ordinate M(-1 ,0)→ M'(1,-5)
The translated co-ordinate N(-5, -2)→ N'(-3,-7)
Hence the co-ordinates of rhombus translated by (x,y) → (x+2, y-5) are K(-1,-3), L(3,-1), M(1,-5) and N(-3,-7).
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Simplify −3(5x + 1) + completely. 8 16(x − 9)
The expression is simplified to x - 147
What are algebraic expressions?Algebraic expressions are defined expressions made up of terms, factors, variables, constants , coefficients.
They are also made up of arithmetic operations such as addition, subtraction, multiplication, division, etc.
Given the expressions;
−3 (5x + 1) + 16(x − 9)
First, we have to expand the bracket
-15x -3 + 16x - 144
collect like terms, we have;
-15x + 16x - 144 - 3
Add or subtract like terms as seen in the expression
x - 147
Note that the expression is simplified to x - 147
Thus, the expression is simplified to x - 147
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Question 20 (5 points) The Torre Company has the following stockholders' equity account balances in stockholders equity on December 31. Common Stock - $5 par, 60,000 shares issued 340,000 Paid-In Capital in Excess of Par-Common Stock 650,000 Preferred Stock - $100 par, 5,000 shares issued 590,000 Paid-In Capital in Excess of Par-Preferred 120,000 Retained Earnings 240,000 Treasury Stock (cost-$10 per share) 120,000 If net income for the year was $110,000 and a preferred stock dividend of $30,000 was paid, what was the beginning value of retained earnings?
According to the solving the beginning value of retained earnings:
= $1,60,000.
What is retained earnings?Retained earnings are usually included in the shareholders' equity portion of a company's balance sheet. Retained earnings are computed by adding beginning-period retained earnings to net income (or loss), then deducting dividend distributions.
How do I figure up my retained earnings?To calculate retained earnings, subtract a company's liabilities from its assets to obtain stockholder equity, then locate the common stock line item on your balance sheet and multiply the total stockholder equity by the common stock financial statement figure (if the only two items in your stockholder equity were also common stock).
According to the given data:Retained earnings, ending = $240,000.
Net income = $110,000.
Preferred stock dividend = $30,000.
Retained earning, beginning = ?
Retained earnings, ending = Retained earning, beginning + Net income - Preferred stock dividend
$240,000 = Retained earning, beginning + 110,000 - 30,000
Retained earning, beginning = 1,60,000
According to the solving the beginning value of retained earnings:
= $1,60,000.
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2) a) If the function f(x) = |x| is changed to g(x) = 3|x-1| +3,
how is the graph transformed? (left, right, up, down? By how much?)
b) On the blank graph, graph the function g(x) = 3 |x-1| +6
8
6
21
-10 -8 6-4-2 2468
-24
7
f
8
Step-by-step explanation:
a) right - 1 unit; up - 3 units; angle between branches is decreased. All the details are in the attachment;
b) the required graph is in the attachment.
Point W (-2,4) from square WXYZ is translated 4 units right. What are the coordinates for W’ ?
Answer:
W' (2, 4 )
Step-by-step explanation:
a translation of 4 units right means add 4 to the x- coordinate, that is
W (- 2, 4 ) → W' (- 2 + 4, 4 ) → W' (2, 4 )
Find the equation of the plane that goes through three points:
A (0, 3, 4)
B (1, 2, 0)
C (-1, 6, 4)
I know there are good algorithms to do this problem with, and I've gotten 6x - 2y + z = -2 as my answer, which is correct to my knowledge.
HOWEVER...the teacher wants to go with a three-variable, three-equation system of equations with the format of z = m(x) + n(y) + c for each point.
That would mean the following equations:
4 = m(0) + n(3) + c
0 = m(1) + n(2) + c
4 = m(-1) + n(6) + c
I'm confused as to why anyone would want us to use a system.
How do I proceed from here to get the same answer as the algorithm got?
The equation of the plane that goes through these points is:
6x + 2y + z = 10.
How to find the equation of a plane given three points?The equation of the plane is found replacing the points into the following equation:
ax + by + c = z.
For point A, we have that:
3b + c = 4.
For point B, we have that:
a + 2b + c = 0.
For point C, we have that:
-a + 6b + c = 4.
Hence the system is:
3b + c = 4.a + 2b + c = 0.-a + 6b + c = 4.From the first equation, we have that:
c = 4 - 3b.
Replacing in the second, we have that:
a + 2b + 4 - 3b = 0
a - b = -4.
Replacing in the third, we have that:
-a + 6b + 4 - 3b = 4.
-a + 3b = 0.
a = 3b.
We have that a - b = -4, hence:
3b - b = -4
2b = -4
b = -2.
a = 3b, hence a = -6.
c = 4 - 3b -> c = 10.
Hence the equation is:
ax + by + c = z.
z = -6x - 2y + 10
6x + 2y + z = 10.
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3^4 x 10^6
What is the answer ??
Evaluate the expression when a = 3 and c = -4.
-a+7c
Answer: -31
Step-by-step explanation:
a = 3 and c = -4.
-a+7c = -3+(7*-4) = -31
Answer:
- 3 + 7(- 4)
- 3 + - 28
= - 31
Hope this helps :)
Find the equation of the containing the points (3,0) that is perpendicular to the line y=-3/4x+1
The equation containing the point (9,12) is y = 4/3x.
What are equations?An equation is a mathematical expression that includes the equals sign. Algebra is frequently used in equations. When you don't know the exact number in a calculation, you use algebra. Many professionals, including air traffic controllers, architects, computer programmers, and carpenters, use equations on a daily basis.So, perpendicular = m1 × m2 = -1:
Now,
- 3/4 × 4/3 = -1y = 4/3x + b10 = 1/3(9) + b12 = 12 + bb = 0y = 4/3x + 0y = 4/3xTherefore, the equation containing the point (9,12) is y = 4/3x.
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The correct question is given below:
Find the equation of the line that is perpendicular to y = -3/4x+1 and contains the point (9,12).
what is the value of the algebraic expression if x=1/2, y -1, and z=2?
The value of the given algebraic expression 6x(y²z) is (D) 6.
What are algebraic expressions?In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions. 2(x + 8y) is an algebraic expression, for example.So, substitute the values of x, y, and z in the given expression:
6x(y²z)
When x = 0.5, y = -1 and z = 2
= 6(0.5)((-1)²)(2)= 3(1)(2)= 6Therefore, the value of the given algebraic expression is (D) 6.
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The complete question is given below:
What is the value of the algebraic expression if x= 1/2 , y = -1, and z = 2? 6x(y²z)
A. -12
B. -6
C. 1
D. 6
Calculate the finance charge for a credit card that has given the average daily balance and interest rate. (Round your answer to the nearest cent.) average daily balance: $118.18, monthly interest rate: 1.15%
The finance charge for a credit card that has given the average daily balance and interest rate is 11.170$.
What is finance charge?The finance charge is the cost of credit in dollars. It is calculated on a credit card's unpaid balance. A finance charge, the cost of having the debt a longer time, is added to the outstanding credit card balance.
Given:
Average daily balance: $118.18,
monthly interest rate: 1.15%
According to given question we have
A common way of calculating a finance charge on a credit card is to multiply the average daily balance by the annual percentage rate (APR) and the days in your billing cycle. The product is then divided by 365 .
i.e
[tex]\frac{118.18*1.15*30}{365} \\=11.170[/tex]
Therefore, the finance charge for a credit card that has given the average daily balance and interest rate is 11.170$.
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Given the graph below, determine the correct translation rule.
a. (x, y) → (x - 5 , y + 1)
b. (x, y) → (x + 1, y - 5)
c. (x, y) → (x - 1, y + 5)
d.(x, y) → (x + 5, y - 1)
Muscles Gym has a rack of hand weights. There are four hand weights that weigh 5 pounds each. What is the area of the side of the hand weight shown ?
Answer:
21 7/8 in^2
Step-by-step explanation:
explantation up top
Two points have the same y-coordinate but opposite x-coordinates. Which is a possible graph of these points?
The possible graph for two points have the same y-coordinate but opposite x-coordinates is shown below.
In a general point (x,y) , the value x represents the distance from origin to point along x - axis,
and
the value y represents the distance from origin to point along y axis.
It is given in the question that
There are two points in which the y coordinate of both the points is same
the x coordinate is of opposite signs.
Let us take an Example
let the points be A(a,b) and B(c,d)
According to the question
b = d and -a = c
So the points will become (a,b) and (-a,b)
For Example ;
let a=2, b=3
the two points will become (2,3) and (-2,3).
Therefore , the possible graph of these points is shown below .
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Points A, B, C and D are collinear. Point B is between A and C. Point C is between B and D. Suppose BC = 14 + x, AD = 42 + x, and AC = x + 32. Find x =, AB =, BC =, CD =, AC =, AD=
A possible solution for this case of collinear points is (x, AB, BC, CD, AC, AD) = (0, 18, 14, 10, 32, 42).
What are the lengths of collinear line segments?
In this question we have four points that are collinear, that is, that lie on the same line. Mathematically, speaking we have the following equations representing the geometric system:
BC = 14 + x (1)
AD = 42 + x (2)
AC = x + 32 (3)
By (1) and (3):
AB = (x + 32) - (14 + x)
AB = 18
By (2) and (3):
CD = (42 + x) - (x + 32)
CD = 10
If x = 0, then BC, AD and AC are, respectively:
BC = 14, AD = 42, AC = 32
Then, a possible solution for this case of collinear points is (x, AB, BC, CD, AC, AD) = (0, 18, 14, 10, 32, 42).
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How do you solve this?
The measures of the angles are:
m<7 = 47°
m<8 = 62°
m<1 = 62°
m<2 = 71° [vertical angles theorem]
m<5 = 109°
m<3 = 109°
m<4 = 35°
m<6 = 29°
What is the Alternate Interior Angles Theorem?The alternate interior angles theorem states that two interior angles that are formed along a transversal and lie alternate to each other on two parallel lines are congruent to each other.
Measure of angle 7 = 47° [based on the alternate interior angles theorem]
Measure of angle 8 = 180 - 47 - 71 [triangle sum theorem]
Measure of angle 8 = 62°
Measure of angle 1 = measure of angle 8 = 62° [based on the alternate interior angles theorem]
Measure of angle 1 = 62°
Measure of angle 2 = 71° [vertical angles theorem]
Measure of angle 5 = 180 - 71 [linear angle theorem]
Measure of angle 5 = 109°
Measure of angle 3 = measure of angle 5 = 109° [vertical angles theorem]
Measure of angle 4 = 180 - measure of angle 3 - 36 [linear angle theorem]
Measure of angle 4 = 180 - 109 - 36
Measure of angle 4 = 35°
Measure of angle 6 = 180 - measure of angle 5 - 42 [linear angle theorem]
Measure of angle 6 = 180 - 109 - 42
Measure of angle 6 = 29°
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dont mind the answer I put thank y’all!!
Answer:
your right
Step-by-step explanation:
the answer is k and l thats right pls mark brainliest
or hit the thanks button!!!!!!!
pls and thank you!
An airplane descended 225 m in 10 s. What was the airplanes rate of change in elevation
The rate of change in elevation will be:
R = -225m/10s = -22.5 m/s
The airplaen descends at a rate of 22.5 meters per second.
What was the airplane's rate of change in elevation?The rate in change of the elevation will be given by the quotient between the change in elevation and the time in which that change happens.
Here we know that the airplane descended 225 meters, so the change in elevation is:
C = -225m
And that change happens in 10 seconds, so the rate of change in elevation will be:
R = -225m/10s = -22.5 m/s
The airplane descends at a rate of 22.5 meters per second.
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cia
Mat
Scien
Simplify the expression 4a + b - 7+ b + a - 3.
7a + 2b - 4
5a + 2b - 4
5a + 2b - 10
за - 10
Answer:
the answer would be 5a+2b-10
Solve for h.
V=1/3bh
Answer:
h = 3V /b
Step-by-step explanation:
V=1/3bh
Solve for h
Multiply each side by 3
3V = 3*1/3bh
3V = bh
Divide each side by b
3V/b = bh/b
3V /b = h
h = 3V /b
Answer:
[tex]3v = bh \\ bh = 3v \\ h = \frac{3v}{b} [/tex]
What is the image of the point
(−9,7) (−9,7) after a rotation of 180∘
counterclockwise about the origin?
The image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).
What is Dilation?Dilation is a process for creating similar figures by changing the size.
What is the rotation of a point counterclockwise about the origin?Rotation of a point P(x, y) 180 counterclockwise about the origin produces an image at P'(-x, -y).
Here, the point counterclockwise about the origin → (-(-9), -7).
Therefore, the image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).
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it takes 4 cans of paint to paint 1/3 of a room. How many cans of paint do I need to paint 1 room? Solve using a strip diagram
The number of cans of paint which it would take to paint one given the premise that; it takes 4 cans of paint to paint 1/3 of a room is; 12 cans of paint.
What is the number of cans that would be required to paint one room given the premise as in the task content?It follows from the task content that the number of cans of paint that would be required to paint one room according to the task content be determined.
Hence, since it takes 4 cans of paint to paint 1/3 of a room.
Hence, since there are 3 One-thirds in a whole, it follows from proportion that the number of cans of paints required is;
= 3 × 4 cans of paint
= 12 cans of paint.
The number of cans of paint which it would take to paint one given the premise that; it takes 4 cans of paint to paint 1/3 of a room is; 12 cans of paint.
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7. If U= {2, 4, 6, 8, 10, 12, 14, 16} and
A = {6, 10, 14}, what is A'?
The compliment of set A that is A' is equal to {2, 4, 8, 12, 16}.
We are given the universal set as:
U = {2, 4, 6, 8, 10, 12, 14, 16}
We are also given that set A is:
A = {6, 10, 14}
We need to find A'
For this, we will subtract set A from the universal set, U.
So, we get that:
A' = U - A
A' = {2, 4, 6, 8, 10, 12, 14, 16} - {6, 10, 14}
Solving the expression, we get that:
A' = {2, 4, 8, 12, 16}
Therefore, we get that, the compliment of set A that is A' is equal to {2, 4, 8, 12, 16}.
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1/3 x 3/5 = hgggbbbhbh
Answer:
14/15
Step-by-step explanation:
mario se fue de compras con 90 soles los cuales gasto de la siguiente manera en chompas gasto el doble que en camisas y en pantalones gasto el triple que en camisas¿ caunto gasto en pantalones?
The amount spent on pants based on the information illustrated is 45 soles.
How to calculate the value?Let the amount spent of shirt = x
Amount spent on sweaters = 2x
Amount spent on pants = 3x
Amount spent = 90
Therefore, the value will be:
x + 2x + 3x = 90
6x = 90
Divide
x = 90/6
x = 15
Therefore, the amount spent on pants will be:
= 3x
= 3 × $15
= 45 soles.
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8/5 minus 1/6 please help me lol
write the answer from top to bottom
Answer:
b
Step-by-step explanation:
state 3 fractors other than $/ hours
