The answer to this question is C . 4to 3
Answer:
letter po
3(-11)-6 -33-6 -39
---------- = ---------- = ---------- = 13
3 3 3
7(-11)-6 -77-6 -83
---------- = ---------- = ---------- = 13
3 3 6
First, let me introduce the general equation of the parabola:
(x-h)^2 = +/- 4a(y-k) or (y-k)^2=+/- 4a(x-h), where
(h,k) are the coordinates of the vertex
a is the distance of the vertex to the focus
4a = length of lactus rectum or the focal width
If the equation contains (x-h)^2, then the parabola passes the x-axis twice. Similarly, (y-k)^2 passes the y-axis twice. If the sign is (-), it opens to the left(if y-axis) or downward (if x-axis). If the sign is (+), it opens to the right(if y-axis) or upward (if x-axis).
The equation of the parabola is -1/12 x^2 = y. Rearranging to the general form:
x^2 = -12y
Therefore,
-4a = -12
4a = 12
a = 3, and the parabola is facing downwards.
The vertex is (0,0) at the origin.
The focus is (0,-3). Since it is negative, the focus is situated downwards, hence -3.
The directrix is the mirror image of the focus. Hence, it is a line passing +3 on the y-axis. y=3
Focal width is 4a which is equal to 12 units.
Answer: the principal is approximately 23377
Step-by-step explanation:
Let the Initial amount deposited into the account be $x This means that the principal is P = $x
It was compounded quarterly. This means that it was compounded four times in a year. So
n = 4
The rate at which the principal was compounded is 3.575%. So
r = 3.575/100 = 0.03575
It would be compounded for 30 years So
t = 30
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years.
A is given as $68,000
Therefore
68000= x (1+0.03575/4)^4×30
68000= x (1+0.0089375)^120
68000= x (1.0089375)^120
68000 = 2.90878547719x
x = 68000/2.90878547719
x = 23377.4545
Answer: D
Step-by-step explanation:
12/3 = 4
So 4 x4 for the cans of soup will give 16 cans
36/4 = 9
So for jars of peanut butter, 3 x 9 = 27
