Answer:
See below.
Step-by-step explanation:
For y = a(x - b)^2 + c , the vertex is at (b, c) and the axis of symmetry is x = b.
So for y = (x-2)^2 - 2,
the vertex is (2, -2) and the axis of symmetry is x = 2.
<span>If
Ellen deposited 6 773 dollars in her account and did not withdraw any amount
for 7 years.
Then she will earn this amount.
=> 1% interest rate per year
=> first year = 6 773 x .01 = 67.73
=> 6773 + 67.73 = 6840.73
=> Second year = 6840.76 * .01 = 68.4073
=> 68.4073 + 6840.76 = 6909.1673
=> Third year = 6909.1673 * .01 = 69.09
=> 6909.1673 + 69.09 = 6978.26
=>4th year = 6978.26 * .01 = 69.78
=> 6978.26 + 69.78 = 7004
=> 5th year = 7004 *.01 = 70.04
=> 7004 + 70.04 = 7074.04
=> 6th year = 7074.04 * .01 = 70.74
=> 70.74 + 7074.04 = 7144.78
=> 7th year = 7144.78 *.01 = 74.45
=> 7144.78 + 74.45 = 7216.23</span>
Answer:
Step-by-step explanation: the discount on the original price is a 20% discount, so it is 20% of x, or 0.2x.
We are told the discount is $3, so 0.2x = 3. Now we solve the equation for x.
0.2x = 3
Divide both sides by 0.2.
x = 3/0.2
x = 15
The regular price is $15.
Answer:
He will need to save $295
Step-by-step explanation:
he needs 450 and he has 155, so all you would do is subtract 155 from 450 and you get the rest he needs which is 295
Answer:

Step-by-step explanation:
Hi there!
The two angles given are opposite angles, meaning that they are angles opposite of each other at an intersection.
Opposite angles are always equal:

Combine like terms:

Divide both sides by 6 to isolate <em>x</em>:

I hope this helps!