Answer:3.81
Step-by-step explanation:
because you add 2% each year
Step 1
In the example why is the area of one triangle multiplied by 2.
This is because the hexagon is divided into one rectangle and 2 congruent triangles. Therefore, the area of the two triangles will be the same since they are congruent triangles. In order to get the area of the hexagon, the area of one of the triangles is mutiplied by 2 and added to the area of the rectangle.
Step 2
Find the dimension of one of the shaded triangle from Bev's pattern.
The dimensions will therefore be;
What can you say about the shaded area of all the shaded triangles in Bev's pattern.
The area of all shaded triangles in Bev's pattern are equal. This is because all the shaded triangles have the same dimensions and can be said to be congruent. Hence, they will have the same area.
Answer:
The depth of the reflector is 700 feet.
Step-by-step explanation:
The cross section of a parabolic reflector is just a parabola (see the figure below). Because it has a vertical axis of symmetry and its vertex is at (0,0) the equation of the parabola is:
With p the distance to the focus (p=6ft), the equation for our particular case is:
Note that because the reflector extends 5.5 feet to either side of the vertex, the extreme sides of the parabola are on the curve so they satisfy our parabola equation (3). Let’s concentrate on the right extreme of our parabola with x-position 5.5 ft using this number on (3) equation we can find the respective y-position
and that correspond to the depth of the parabolic reflector.
Answer:
Growth;
A = 20,000(1.08)^t
A = 40(3)^t
P = 1700(1.07)^t
Decay;
A = 80(1/2)^t
A = 1600(0.8)^t
P = 1700(0.93)^t
Step-by-step explanation:
The key to differentiate between decay and growth is the term inside the bracket
For growth, the term inside the bracket is greater than 1, while for decay, the term inside the bracket is less than 1
Looking at the given equations, we have;
Growth;
A = 20,000(1.08)^t
A = 40(3)^t
P = 1700(1.07)^t
Decay;
A = 80(1/2)^t
A = 1600(0.8)^t
P = 1700(0.93)^t
To evaluate the combination we proceed as follows:
21C3
Given nCk we shall have:
n!/[(n-k)!k!]
thus plugging the values in the expression we get:
21!/[(21-3)!3!]
=21!/(18!×3!)
=1330
Answer: 1330