Answer:
6, 12, 24, 48, 96, 192
Step-by-step explanation:
The first term a1 = 6 and the common ratio is 2.
So it is 6, 6*2, 6*2^2 ....
<span>The area of the base is x^2> The height is h. Each side of the box has area xh. There are 4 sides of the box so the total surface area of the box is x^2+4xh and that is equal to 1000. Solve that equation for h:
x^2+4xh = 1000 h = (1000-x^2)/4x so the Volume = x^2[(1000-x^2)/4x]
Simplify and get V = 250x-x^3/4
The volume will be a maximum when its first derivative is 0.
V' = 250-3/4x^2
Set to 0 and solve. x=18.26
Now plug into the volume function to find the maximum volume:
V=250(18.26)-(18.26)^3/4
V= 4564.35 - 1522.10 =3042.25</span>
Let x stand for a movie.
You can pay $4 every movie or $1.50 for every movie plus the original $10
4x = 1.50x +10
-1.50x -1.50x (Subtraction Property of Equality)
2.50x = 10
/2.50 /2.50 (Division Property of Equality)
x = 4
After 4 movies, the membership will cost less.
D) 72 units, you get this answer by adding up 15+15+22+20 units to get the perimeter.
This infinite sum is given by
a
S = ------ but ONLY if r<1. Here, r>1, so the infinite sum does not exist.
1-r
