Answer:
x = 5, y = 20
Step-by-step explanation:
if y = 4x and 3x+2y = 55 then we can subtitude y as x.
We know that y = 4x so we can write 4x wherever we see y.
3x + 2y = 3x + 2(4x) = 55
3x + 8x = 55
11x = 55
x = 5.
And if y = 4x = 4(5)
y = 20
Answer:
89.25
Step-by-step explanation:
1. multiply 3.5 by what is in parentheses
2. Subtract 89.25 by 57.75
Answer:
The main purpose of America's Declaration of Independence was to explain to foreign nations why the colonies had chosen to separate themselves from Great Britain. The Revolutionary War had already begun, and several major battles had already taken place.
Step-by-step explanation:
Answer: Vertex = (2, -15) 2nd point = (0, -3)
<u>Step-by-step explanation:</u>
g(x) = 3x² - 12x - 3
= 3(x² - 4x - 1)
a=1 b=-4 c=-1
Find the x-value of the vertex by using the formula for the axis of symmetry: ![x = \dfrac{-b}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B-b%7D%7B2a%7D)
![x = \dfrac{-(-4)}{2(1)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B-%28-4%29%7D%7B2%281%29%7D)
![= \dfrac{4}{2}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B4%7D%7B2%7D)
= 2
Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3
g(2) = 3(2)² - 12(2) - 3
= 12 - 24 - 3
= -15
So, the vertex is (2, -15) ← PLOT THIS COORDINATE
Now, choose a different x-value. Plug it into the equation and solve for y. <em>I chose x = 0</em>
g(0) = 3(0)² - 12(0) - 3
= 0 - 0 - 3
= -3
So, an additional point is (0, -3) ← PLOT THIS COORDINATE
The number of payments per year is 12
The number of payments is 36 which means that the term lasted for 3 years.
The total interest is $158.15 and the amount financed is $2500.
The interest rate is
158.15/2500 = 6.33%
In nominal month, that is
(1 + r/12)^12 - 1 = 0.0633
Solve for r