Answer:
Option C is correct ,14.2%
Step-by-step explanation:
In order to determine the effective tax rate of a taxpayer with taxable income of $52,000,the starting point to determine how much in taxes the taxpayer pays as shown below:
First tax bracket=$9,525*10%=$952.5
Second tax bracket=$952.50+(12%*($38700-$9,525))
=$952.50+$3501
Third tax bracket(where the taxpayer belongs)=4453.5
+(22%*($52,000-$38,700))
third tax bracket tax=4453.5+$2926
=$7379.5
Since the total tax payable of $7379.5 is now computed,
effective tax rate=tax paid/taxable income=7379.5/52000
=14.2%
Answer:
Step-by-step explanation: This is the quadratic function:
h(x)=ax²+bx+c
We have two points:
(1,58)
(2,112)
Now, we calculate this quadratic funtion.
we assume that h(0)=0
Therefore:
a(0)²+b(0)+c=0
c=0
(1,58)
a(1)²+b(1)=58
a+b=58 (1)
(2,112)
a(2)²+b(2)=112
4a+2b=112
2a+b=56 (1)
With the equations (1) and (2) we make a system of equations:
a+b=58
2a+b=56
we can solve this system of equations by reduction method.
-(a+b=58)
2a+b=56
---------------------
a=-2
-2(a+b=58)
2a+b=56
-------------------
-b=-60 ⇒ b=60
The function is:
h(x)=ax²+bx+c
h(x)=-2x²+60x
Now find the height, in feet, of the rock after 10 seconds in the air.
h(10)=-2(10)²+60(10)
h(10)=-200+600=400
Answer: 400 ft.
Answer:
x = -2
Step-by-step explanation:
The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.
(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
To find where it will touch the axis set the factor equal to zero and solve.
(x + 2) = 0
subtract 2 from both sides
x = -2
3(x-5)=1+(5x+2x)
3x-15=1+7x
-15=1+7x-3x
-15=1+4x
-15-1=1+4x-1
-16=4x
-16/4=4x/4
-4=x
The relationship between the 6's in 7,664 is that it can be 600 and 60.
