Answer:

Step-by-step explanation:
Given

Required
The vertex
We have:

First, we express the equation as:

Where

So, we have:

--------------------------------------------
Take the coefficient of x: -1
Divide by 2: (-1/2)
Square: (-1/2)^2
Add and subtract this to the equation
--------------------------------------------



Expand

Factorize

Factor out x - 1/2




Compare to: 


Hence:

Adam should invest $15516 after 18 years.
<u>Explanation:</u>
Given:
Amount(18) = $20000
Rate of Interest, r = 1.41%
Time, t = 18 years
n = 365 (compounded daily)
General equation of amount that is compounded daily:

Solving for A₀:

Substituting the values:

Therefore, Adam should invest $15516 after 18 years.
Since all the point connect to prove its a trapezoid, also the fact that it has 1 pair of parallel sides, and to geographic knowledge the sides and angles plus the way it is graphed on the graph it fits the definition of a trapezoid in geographic shapes. Hope this helps lots <3
Answer:
B
Step-by-step explanation:
We need to find the price of 1 pack for each deal.
12 pack for 2.00
2/12 =$0.17 per pack
24 pack for 3.50
3.50/24 = $0.15 per pack
36 pack for 5.75
5.75/36 = $0.16 per pack
50 pack for 8.25
8.25/50 = $0.17 per pack
100 pack for 15.75
15.75/100 = $0.16 per pack
<em>the lowest deal per pack is for 24 pack for $3.50 since it has the lowest amount per pack.</em>
<em />
<em>correct answer is B</em>
It means the temperature will be three degrees below 0.