Interest is basically a percentage that can be simple or compounded. Simple interest is the amount of a loan. Annual is a form of compounded interest. Compounded interest can be quarterly, monthly, weekly, yearly, etc.
I=Prt
We have to solve for r
r=r/100
7%/100
0.07 per year
Hope This Helps!
the LCM of 21 and 105 is 105.
The equation is
. We can rewrite the equation as:
.
Our next step here is to take the square root of both sides, remembering that
.
Thus, we have
. Our final step is solving the absolute value equation, which yields:
or
.
Solution set: {
}
Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
