Answer:
<em>The tax is $1.54 and the price after tax is $31.54</em>
Step-by-step explanation:
<u>Percentages</u>
The procedure to add a percentage ratio p to a given quantity q is:
* Calculate the increase as i = p*q/100
* Add the increase to the original quantity to get the final quantity f=q + i
It's given the sales tax rate in New Mexico is p=5.125%. A pair of pants in New Mexico costs q=$30 before tax.
* The increase (tax) is i = (5.125*30)/100 = $1.54
* The price after tax is f = $30 + $1.54 = $31.54
The tax is $1.54 and the price after tax is $31.54
Answer:
150 degrees
Step-by-step explanation:
Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.
So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length 
. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.
Let's find the complementary angle.
So the opposite side of the complementary angle is 5.
The adjacent side of the complementary angle is .
So 90-30=60.
The answer therefore 60+90=150.
Answer:
Y IS EVERYTHING THAT IS LESS THAN -3X
Step-by-step explanation:
LOOK AT THE LESS THAN SIGN
Answer:
10m x 15m
Step-by-step explanation:
You are given some information.
1. The area of the garden: A₁ = 150m²
2. The area of the path: A₂ = 186m²
3. The width of the path: 3m
If the garden has width w and length l, the area of the garden is:
(1) A₁ = l * w
The area of the path is given by:
(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36
Multiplying (2) with l gives:
(3) A₂l = 6l² + 6lw + 36l
Replacing l*w in (3) with A₁ from (1):
(4) A₂l = 6l² + 6A₁ + 36l
Combining:
(5) 6l² + (36 - A₂)l +6A₁ = 0
Simplifying:
(6) l² - 25l + 150 = 0
This equation can be factored:
(7) (l - 10)*(l - 15) = 0
Solving for l we get 2 solutions:
l₁ = 10, l₂ = 15
Using (1) to find w:
w₁ = 15, w₂ = 10
The two solutions are equivalent. The garden has dimensions 10m and 15m.
