Answer:
D. 4.843,40
Step-by-step explanation:
The total amount is 79.400 dollars and that is the one to charge with the income tax.
Remembe that 6,1%=0,061 and this is easier to multiply
Income tax= taxable income*income tax
With our numbers
Income tax=79.400*0,061
=4.843,40
Thats the state income tax that Mark has to pay
It is 28350 merry Christmas
Answer:
33.0
Step-by-step explanation:
Using the pythagoras theorem
tan theta = opposite/adjacent
tan 41 = x/38
x = 38tan41
x = 38(0.8693)
x = 33.03
Hence the value of x to nearest tenth is 33.0
Answer:
x = -5/3, y = -1 or 
Step-by-step explanation:
Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.
Equation 1: 3y - 6x = 7
Equation 2: -4y - 3x = 9
<h3>Step 1: Multiply Equation 2 by -2:</h3>
(-2)(-4y - 3x) = 9 (-2)
8y + 6x = -18
<h3>Step 2: Add "8y + 6x = -18" to Equation 1:</h3>
8y + 6x = -18
+ 3y - 6x = 7
11y = -11
<h3>Step 3: Divide both sides by 11 to solve for y:</h3>

y = -1
<h3>Step 4: Substitute y = -1 into Equation 2 to solve for x: </h3>
-4(-1) - 3x = 9
4 - 3x = 9
<h3>Step 5: Subtract 4 from both sides:</h3>
4 - 4 - 3x = 9 - 4
- 3x = 5
<h3>Step 6: Divide both sides by -3 to solve for x:</h3>


Verify whether the values for x and y are correct by substituting their values into both equations:
x = -5/3, y = -1
Equation 1: 3y - 6x = 7
-3 + 10 = 7
7 = 7 (True statement).
Equation 2: -4y - 3x = 9
-4(-1) - 3 (-5/3) = 9

4 + 5 = 9
9 = 9 (True statement).
Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.