The number of hours to work to pay for the new computer is 111 hours
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The cost difference between the new and refurbished computer is $800.00 - $640.00 = $160.00. This means that you would save $160.00 by buying the refurbished computer instead of the new one.
Let's say you work for "x" hours, then your gross pay will be:
A = 10x dollars
Your FICA deduction will be 7.65% of your gross pay:
0.0765 ( 10x ) = 0.765x dollars
Your federal tax withholding will be 12% of your gross pay:
0.12 ( 10x ) = 1.2x dollars
Your state tax withholding will be 8% of your gross pay:
0.08 ( 10x ) = 0.8x dollars
The total amount of taxes that will be deducted from your paycheck is the sum of these three amounts:
0.765x + 1.2x + 0.8x = 2.765x dollars
So your net pay will be:
10x - 2.765x = 7.235x dollars
On simplifying the equation , we get
Now, we can calculate the number of hours you would need to work to pay for the new computer:
800 = 7.235x
x ≈ 110.5 hours
Hence , the number of hours is x = 111 hours
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
50000 is times as much as 500
Answer:
10
Step-by-step explanation:
Answer:
it's 100
Step-by-step explanation:
just divide 50,000 by 500 and you'll get 100 so 50000 Is 100 times as 500
what is 2+34-18+2-5+100-49
Answer:
[tex]2 + 34 - 18 + 2- 5 + 100 - 49 \\ = 36 - 16 + 95 - 49 \\ = 20 + 95 - 49 \\ = 115 - 49 \\ = 66 \\ thank \: you[/tex]
Answer:
The answer is 66.
Step-by-step explanation:
→ 2 + 34 - 18 + 2 - 5 + 100 - 49
→ (2 + 34 - 18 + 2 - 5) + (100 - 49)
→ 15 + 51 = 66
Thus, 66 is the solution.
Please help as soon as possible.. thanks
Answer:
0.5 is correct answer hope it helps
1.
Which is the graph of the exponential function y = 0.5(0.5)x?
Answer:
The answer is B
Step-by-step explanation:
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
O y=
--x-1
Oy=-x+5
O y=-x-1
O y=x+5
Save and Exit
Next
Submit
Mark this and retum
The equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4) is y = [tex]-\frac{5}{x} x-1[/tex]
Parallel lines
Parallel lines have the same slope. Therefore, using slope intercept form.
y = mx + b
m = slope
b = y-intercept
Therefore,
5x + 2y = 12
2y = -5x + 12
[tex]y = -\frac{5}{2} x+12[/tex]
The slope of the line is [tex]-\frac{5}{2}[/tex]
Base on parallelism, for the line that passes through (-2, 4)
y = mx + b
4 = [tex]-\frac{5}{2} (-2)+b[/tex]
b = -1
Therefore,
y =
learn more on parallel lines here: https://brainly.com/question/18245473
In this diagram, BAC~EDF. If the area of BAC=15 in2, what is the area of EDF? 4, 5.
Enter a decimal rounded to the tenths.
Answer:
9.6 square inches.
Step-by-step explanation:
We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.
First, find the scale factor k from ΔBAC to ΔDEF:
[tex]\displaystyle 5 k = 4[/tex]
Solve for the scale factor k:
[tex]\displaystyle k = \frac{4}{5}[/tex]
Recall that to scale areas, we square the scale factor.
In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.
Hence, the area of ΔEDF is:
[tex]\displaystyle \Delta EDF = \frac{16}{25}\left(15\right) = 9.6\text{ in}^2[/tex]
In conclusion, the area of ΔEDF is 9.6 square inches.
PLEASE ANSWER BRAINLIEST FOR CORRECT ANSWER!!!!
Find the slope of the line going through the points (-10, 0) and (4, 0). Enter your answer in simplest form. (For example, slope = -4/2 = -2 )
Answer:
y = 0
Step-by-step explanation:
To find the slope, we have to plug the values into the slope-intercept formula.
y2 - y1 / x2 - x1
0 - 0 / 4 - (-10)
0 / 14
= 0
need help please and thank you
Using pythagorean trplet
[tex]\\ \sf\longmapsto AC^2=AB^2+BC^2[/tex]
[tex]\\ \sf\longmapsto AC^2=6^2+8^2[/tex]
[tex]\\ \sf\longmapsto AC^2=36+64[/tex]
[tex]\\ \sf\longmapsto AC^2=100[/tex]
[tex]\\ \sf\longmapsto AC=\sqrt{100}[/tex]
[tex]\\ \sf\longmapsto AC=10[/tex]
30 POINTS MATH HELP PLEASE
Subtract -2x^2-4x+2 from -6x+2
Answer:
2x(x-1)
Step-by-step explanation:
-6x+2-(-2x^2-4x+2)
-6x+2+2x^2+4x-2
2x^2-6x+4x+2-2
2x^2-2x
2x(x-1)
Answer:
2x² - 2x
Step-by-step explanation:
- 6x + 2 - (- 2x² - 4x + 2) ← distribute parenthesis by - 1
= - 6x + 2 + 2x² + 4x - 2 ← collect like terms
= 2x² - 2x
Solve.
2
— x 6 =
9
What’s the answer?
. g(x)=4-8²
what is the y and x intercept?
Janet deducted $5 on Monday and another $6 on Tuesday from her savings account. How much money did Janet deduct?
Jill took a total of 6 quizzes over the course of 3 weeks. After attending 7 weeks of school this quarter, how many quizzes will Jill have taken in total? Solve using unit rates.
Answer:
14 quizzes
Step-by-step explanation:
Jill takes 6 quizzes every 3 weeks.
the unit rate is 3 quizzes every week, because 6 divided by 3 equals 2
now, take the number of quizzes per week and multiply it by 7
(2 x 7) = 14
So, Jill would take 14 quizzes in 7 weeks.
if A=x² +xy-6, B=6xy-2x² +1 and C= 3x² +7 -3xy,find :(i) A+B+C (ii)A-B+C (iii)A+B-C
Answer:
I)
[tex]\displaystyle A + B + C = 2x^2 + 4xy + 2[/tex]
II)
[tex]\displaystyle A - B + C = 6x^2 -8xy[/tex]
III)
[tex]\displaystyle A + B - C= -4x^2 + 10xy -12[/tex]
Step-by-step explanation:
We are given the three equations:
[tex]\displaystyle A = x^2 + xy -6,\, B = 6xy - 2x^2 +1 \text{ and } C = 3x^2 + 7 -3xy[/tex]
I)
We want to find:
[tex]\displaystyle A + B + C[/tex]
Substitute:
[tex]\displaystyle = (x^2 + xy - 6) + (6xy -2x^2 + 1) + (3x^2 + 7 -3xy)[/tex]
Rewrite:
[tex]\displaystyle = (x^2 + 3x^2 - 2x^2) + (xy + 6xy - 3xy) + (-6 + 1 + 7)[/tex]
And combine like terms. Hence:
[tex]\displaystyle A + B + C = 2x^2 + 4xy + 2[/tex]
II)
We want to find:
[tex]\displaystyle A - B + C[/tex]
Likewise, substitute:
[tex]\displaystyle = (x^2 + xy - 6) - (6xy - 2x^2 + 1) + (3x^2 + 7 - 3xy)[/tex]
Distribute:
[tex]\displaystyle = (x^2 + xy - 6) + (-6xy +2x^2 - 1) + (3x^2 + 7 - 3xy)[/tex]
Rewrite:
[tex]\displaystyle = (x^2 + 2x^2 +3x^2) + (xy - 6xy -3xy) + (-6 -1 + 7 )[/tex]
And combine like terms. Hence:
[tex]\displaystyle A - B + C = 6x^2 -8xy[/tex]
III)
We want to find:
[tex]\displaystyle A + B - C[/tex]
Substitute:
[tex]\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) - (3x^2 + 7 - 3xy)[/tex]
Distribute:
[tex]\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) + (-3x^2 - 7 + 3xy)[/tex]
Rewrite:
[tex]\displaystyle = (x^2 - 2x^2 - 3x^2) + (xy +6xy +3xy) + (-6 +1 - 7)[/tex]
And combine like terms. Hence:
[tex]\displaystyle A + B - C= -4x^2 + 10xy -12[/tex]
Two thirds of a number is 24. Find the number.l
Answer:
36
Step-by-step explanation:
of means multiply and is means equals
2/3 *x = 24
Multiply each side by 3/2
3/2 * 2/3 *x = 24 * 3/2
x = 36
Please i need this problem solved today
Answer:
Below!
Step-by-step explanation:
So keeping track from what we understand,
Problem:
-4.7 + 17.4 - 8.9 - 15.3 = A
↓
-12.7 - 24.2 = A
↓
A = -11.5!!
The picture is below HELPPPPPPPPPPP
In the diagram below BD is parellel to XY what is the value of x
Answer:
83 i think
Step-by-step explanation:
sorry if its wrong
Answer:
B
Step-by-step explanation:
x and 83 are same- side interior angles and sum to 180° , then
x + 83° = 180° ( subtract 83° from both sides )
x = 97° → B
The graph of a function never has two different points with rhe same x-coordinate because
Answer:
Hello! Your answer is BELOW
Step-by-step explanation:
The best answer to the question that is being stated above would be letter B. The graph of a function never has two different points with the same x-coordinate because the input value of each of the points is mapped to a single output value in the graph.
Hope I helped! Hope you make an 100%
-Amelia♥
Find the measure of ABD.
Answer:
ABD=26°.
SEE THE IMAGE FOR SOLUTION
ehat is the quotation of 9÷1/2
Answer:
18
Step-by-step explanation:
9 divided by 1/2
9 is a whole number
1 is the numerator and 2 is the denominator
To put it in fraction form multiple 9 x 2 over 1
Which equals 18/1
18 divided by 1 is 18
Answer:
18
Step-by-step explanation:
If you meant, what is the quotient of 9 ÷ 1/2 we get:
[tex]9/\frac{1}{2}=\\\\9*\frac{2}{1}=\\\\\frac{18}{1} =\\\\18[/tex]
please help me im being timed
Find the inverse of the function:
f(x)=−4x+8
Answer:
(x) = -x/4+2
Step-by-step explanation:
Inverse the function, so swap the places of x and y
x = -4y + 8
Then solve for y
x - 8 = -4y
-x/4 + 2 = y
y = -x/4 + 2
g(x) = -x/4+2
Riley's monthly bank statement showed the following deposits and withdrawals:
-−$105.11, -−$33.75, $113.62, $119.42, $29.64
If Riley's balance in the account was $35.27 at the beginning of the month, what was the account balance at the end of the month?
Answer:
$159.09
Step-by-step explanation:
Math
4 × 5 + [14 + 8] - 36 ÷ 9
Answer:
38
Step-by-step explanation:
4 × 5 + [14 + 8] - 36 ÷ 9
4 × 5 + 22 - 36 ÷ 9
4 × 5 + 22 - 4
20 + 22 - 4
42 - 4
38
Step-by-step explanation:
use pemdas
P= parenthesis
E= exponents
M= multiply
D= divide
A= addition
S= subtraction
Solve for x.
7/8-x = -5
x = 4
x = -4
x = 5
Answer:
-x = -5 7/8
Step-by-step explanation:
7/8 - x = -5
(7/8 - 7/8) - x = -5 -7/8
-x = -5 7/8
To keep it simple i am confused about this problem what can i do?
*show work
*will give brainlist
Answer:
11. 10, 20,30,40,50,60,70
12. 35, 45,55,65,75,85,95
Step-by-step explanation:
10 dollars per week for 7 weeks in equivalent to 10x7 which equals $70.
If you already had $25 you would do 10x7+25. Using PEMDAS you would multiply first (10x7=70) then add 25 (70+25=95)
Two way table’s , bar graphs and segmented bar graphs are useful for displaying what kind of data?why?
Step-by-step explanation:
Statisticians use two-way tables and segmented bar charts to examine the relationship between two categorical variables.
The lifespan of all microwave ovens sold in the United States has a mean of 9 years and a standard deviation of 2.5 years. If a particular microwave oven has z-score of -1.5, how many years did it last?
a.) 5.25 years
b.) 7.5
Answer:
7.5 years because United States has mor thne 9 years
Please help me also giving brainiest answer for this
Answer:
E. a=10.
it's the answer
hope it helps
