The ratio is 20/52, simplified to 5/13. This is because 20 is the adjacent side and 52 is the hypotenuse.
Answer:
(About) 20043.46 after 14 years
Step-by-step explanation:
~ Let us apply a compound interest formula not through substituting values, but through a similar way of following this formula ~
1. First let us assign the values:
interest ⇒ 6.5 percent ( % ), principle number - start value ⇒ $ 8300, time ⇒ 14 years
2. Now let us convert interest ⇒ decimal form: 0.065
3. Add 1 to this value 0.065 ⇒ 1 + 0.065 = 1.065
4. Now let us take 1.065 exponentially to the power of itself 14 times, or in other words to the power of time ( 14 years ): 1.065^ 14 = 2.414874185.......
5. Multiply this infinite number by the principle number P, or most commonly known as the start value: 2.414874185....... * 8300 ⇒
(About) 20043.46 after 14 years
Answer: see below
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: y = a(x - h)² + k where
- "a" is the vertical stretch (positive = min [U], negative = max [∩])
- (h, k) is the vertex
- Axis of Symmetry is always: x = h
- Domain is always: x = All Real Numbers
- Range is y ≥ k when "a" is positive or y ≤ k when "a" is negative
6) y = 3(x - 1)² + 0
↓ ↓ ↓
a= + h= 1 k= 0
Vertex: (h, k) = (1, 0)
Axis of Symmetry: x = h → x = 1
Max/Min: "a" is positive → minimum
Domain: x = All Real Numbers
Range: y ≥ k → y ≥ 0
7) y = -1/2(x + 6)² - 7
↓ ↓ ↓
a= - h= -6 k= -7
Vertex: (h, k) = (-6, -7)
Axis of Symmetry: x = h → x = -6
Max/Min: "a" is negative → maximum
Domain: x = All Real Numbers
Range: y ≤ k → y ≤ -7
8) y = -(x - 0)² - 3
↓ ↓ ↓
a= - h= 0 k= -3
Vertex: (h, k) = (0, -3)
Axis of Symmetry: x = h → x = 0
Max/Min: "a" is negative → maximum
Domain: x = All Real Numbers
Range: y ≤ k → y ≤ -3
9514 1404 393
Answer:
(x +1)^2 +(y -3)^2 = 4
Step-by-step explanation:
The equation of a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
The graphed circle is centered at (h, k) = (-1, 3), and has radius 2, so its equation is ...
(x +1)^2 +(y -3)^2 = 4
