A=p(1+i/m)^mn
P=3168
i=0.1275
M=12
n=3/12
A=3,168×(1+0.1275÷12)^(12*3/12)
A=3,270.06
Part 1: The general form for this matches y^2 = -4cx, which implies that this opens to the left. (Imagine assigning any value of y, whether positive or negative, which would result in a positive left-hand value. Then to match this sign, the value of x must be negative so that the right-hand side becomes positive as well.)
Part 2: The distance from the vertex to the directrix is given by c. This equation has its vertex at the origin (0, 0). If it opens to the left, the directrix is a vertical line to the right of the origin. This equation is y^2 = -4(1/2)x, so c = 1/2, and the directrix has the equation x = 1/2.
Part 3: The focus is inside the parabola, but it is the same distance from the vertex as the directrix. This distance is 1/2 units, and it will be to the left of the vertex. So the focus is at (-1/2, 0).
Answer:
Options C and E
Step-by-step explanation:
Option A. Circle
We can't get a cross section in the form of a circle.
Option B. Cube
We can't get a cross section in the form of a cube.
Option C. Rectangle
When we slice a rectangular pyramid parallel to the base but not through the vertex, we get a Rectangle.
Option D. Square
We can not get a square by slicing a rectangular pyramid.
Option E. Triangle
By slicing a rectangular pyramid perpendicular to the base and passing through the vertex we can get the cross section in the form of triangle.
Options C and E will be the answer.
Answer:
Step-by-step explanation:
y - 2 = -3(x - 1)
y - 2 = -3x + 3
y = -3x + 5
answer is D
Answer:
The first piece is 12 feet long, the second is 9 feet long, and the third is 4 feet long.
Step-by-step explanation:
The original rope is 25 feet in length. Two pieces are dependant on the value of 
, so we must first find that. The equation for the length of rope is:
The terms with can be combined:
Now, take 4 from both sides:
And divide by 7:
Now we just use the value found for to find the lengths of the rope:
To check the answer, we can make sure the three lengths sum to 25 feet:
Which it does. So the three lengths are 12 feet, 9 feet and 4 feet.
