Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1
Now, integrate from x = -2 to x = 1
<em>the bottom of the integral is -2 </em>
=
=
= 
= 
= 
= 
= -3 + 1.5 + 6
= 4.5
154.35 - 10.37 = 143.98
143.98 - 27.83 = 116.15
10.37 = 116.15x
x = 0.0893
Change x to percent form to get 8.93% tax rate.
Answer:
A. 15.2%
Step-by-step explanation:
Subtract the new price from the old one to find the dollar amount that the water bottle price was reduced.

The price was reduced by 25 cents, but we need to find the percentage. To do that, we divide the price reduction by the original price.

And then move the decimal place over two spots (multiply by 100)
15.2
Recall the angle sum identities:


Now,

Divide through numerator and denominator by
to get

Next, we use the fact that
lie in the first quadrant to determine that


So we then have


Finally,
