Answer: 1
Step-by-step explanation: Whenever you take the power of a power, the find the answer you can multiply the two exponents, for example:
(x^3)^4 = x^12
We will use that here.
a^8a^6 = a^14
((a^14)^1/7) = (a^2)/a^2
Our answer is 1
Rewriting the question, the given lengths that were cut from the board were 30 3/4 inches, 12 1/4 inches, and 16 1/4 inches. To obtain the remaining length of the board, all of the measurements cut are to be added and subtracted from 72 inches. This is shown below:
30 3/4 + 12 1/4 + 16 1/4 = 237/4 = 59.25 inches.
Remaining length of board = 72 - 59.25 = 12.75 inches.
Therefore, there will be 12.75 inches remaining of the board.
Answer:
$3,078.04
Step-by-step explanation:
-Given her income is $27,267, she falls under the 10% and 12% brackets with the following boundaries as attached.
-Her tax is then calculated as;
#10% bracket;

#12% Tax bracket:

The total tax=970+2108.04=$3,078.04
Hence, Lynn owes $3,078.04 in taxes.
Answer:
y = 1/2x - 3/2
Step-by-step explanation:
The easiest way to find the inverse is to switch x and y and solve for y.
y = 2x + 3
x = 2y + 3 (Switch)
x-3 = 2y (Subtract y from both sides)
x/2 - 3/2 = y (Divide both sides by 2)