Answer:
The sum is 
Step-by-step explanation:
The given expression is
These are all quadratic trinomials, so we split each of the middle terms to obtain,
We factor to obtain,
We factor further to obtain,
We cancel out the common factors to get,
The least common denominator is 
.
We collect LCD to get
We now expand to get,
We simplify to get,
We simplify further to get,
Answer:
For a confined, constant volume of gas, the ratio
P
T
is therefore constant (i.e.,
P
T
=
k
). If the gas is initially in “Condition 1” (with P = P1 and T = T1), and then changes to “Condition 2” (with P = P2 and T = T2), we have that
P
1
T
1
=
k
and
P
2
T
2
=
k
, which reduces to
P
1
T
1
=
P
2
T
2
The angles A and B are alternate interior angles, and as such their measure is the same.
This leads to the equation
Subtract 4x and 6 from both sides to get
which simplifies to
Plug this value for 
in the expression for 
to get
1) $25,000 * 10% =$2,500
2) $25,000 * 20% = $5,000
3) $25,000 * 30% = $7,500
Total income tax = $2,500 + $5,000 + $7,500 = $15,000.
Answer: $15,000
You could calculate the average tax rate: [$15,000 / $75,000] * 100 = 20%
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