MATHEMATICS HIGH SCHOOL

A social worker earns $760 gross pay.  If he is married and claims 1 dependent, his state tax rate is 7%, and FICA is 7.65%, what is his net
pay?

Answers

Answer 1
Answer: I believe the net pay is $648.66.
$760×.07 for sales tax rate =53.20
$760×0.0765 for FICA= 58.14
(7.65÷100=0.0765)
now 760-53.20-58.14= 648.66

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Need help in this question please show work along with answer

3x + 5y = 7
4x + 3y = 2

Both x and y have to be the same numbers!

Answers

Simultaneous Equations:
(3x + 5y = 7)×(-3)
(4x + 3y = 2)×(5)

-9x - 15y = -21
20x+15y =10        (-15y and and+15y cancels out)

11x = -11
(11x)/(11) = (-11)/(11) (11 and 11 cancels out)
x= -1
substitute the x we found into either original expressions

3(-1) + 5y = 7
-3 + 5y = 7
+3 -3+ 5y = 7+ 3
5y = 10
(5y)/(5)=(10)/(5) (5 and 5 cancels out)
y=2 
Check it!
4(-1)+3(2) = 2
-4 + 6 = 2
2 = 2

3(-1) + 5(2) = 7
-3 + 10 = 7
7 = 7

x= -1
y= 2
i think there was a something wrong in you question because the answer does not be the same as you want

factor completely:

4x^3 - 36x

Answers

You would take out a 4x out of both terms because this is a common factor 
4x^3-36x
4x(x^2-9) 
and then you would notice that (x^2-9) is a difference of squares, so that factors out too 
4x(x-3)(x+3)
that is all you can factor! hope this helps
the factor of this is 4x(x^2-9)
then x^2-9 can be factored using sum and difference.
4x(x+3)(x-3)

The circumference of a pizza is 75.36 in. What is the approximate area of the circle? Answers A.(113.04 in2)
B.(37.68 in2)
C.(1808.64 in2)
D.(452.16 in2)

Answers

Circumference = diameter x pi

Find the diameter:

75.36 = diameter x pi

Divide both sides by pi:

Diameter = 75.36/3.14 = 24 inches.

Area = pi x r^2

R = 1/2 diameter = 12

Area = 3.14 x 12^2

Area = 452.16 in^2

The answer is D.

Which value is included in the solution set for the inequality graphed on the number line?A number line going from negative 4 to positive 4. An open circle is at negative 2. Everything to the left of the circle is shaded.
–5
–2
0
3

Answers

Answer:

the answer is actually (A_-5)

Step-by-step explanation:

Xavier is thinking of a number. Nine more than four times the number is the same as fifteen less than twice the number. What is Xavier's number?

Answers

Answer:

x=1

Step-by-step explanation:

9+4x=15-2x

9+6x=15                    Add two to both sides

6x=6                        divide by 6

x=1

Answer:

-12

Step-by-step explanation:

I set it up as an equation based on the word problem you gave me

So

2n - 15 = 4n + 9

Combine like terms

-2n = 24

Isolate the variable n

-2n/-2 = 24/-2

n = -12

To check your work replace the n with -12

2(-12) - 15 = 4(-12) + 9

-24 - 15 = -48 + 9

-39 = -39

What is x when tan24 = 5/x

Answers

Answer:

x ≈ 11.23

Step-by-step explanation:

Given

tan24° = (5)/(x) ( multiply both sides by x )

x × tan24° = 5 ( divide both sides by tan24° )

x = (5)/(tan24) ≈ 11.23 ( to 2 dec. places )
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- ( 8x + 8 ) = 4 - 4 x
To ensure he never eats the whole cake, Bobby only decides to eat half of what’s left for each serving. If 2/3 of the cake are left initially, and no one else but Bobby eats the cake, how much of the cake will Bobby have eaten by his 5th serving?
The product of two consecutive integers is 110. find the integers?