Answer:
0.064
Step-by-step explanation:
25000(1-0.8)^8
= 25000(0.2)^8
= 0.064
The volume of a rectangular prism is represented by the following equation:

Where the variables are for volume, width, height, and length, respectively.
We are given that the area of one end is 16 cm² (units have to be correct when solving these problems, so it's 16 cm², not 16 cm as described in the problem). We know that 
Using this knowledge, we can change the volume equation to our needs.



Note: We know that A is 16 since it's given

The volume is 208 cm³ (once again, incorrect units given). Insert this into the equation.

Divide both sides of the equation by 16.

The length is 13 cm.
Let me know if you need any clarifications, thanks!
Answer: 225
Step-by-step explanation:
Volume of the pyramid is calculated as 1/3 bh, where b is base and h is height
Given height as 39cm and a base of 10√3cm = 10 x √3, where √3= 1.73; base = 10 x 1.73 = 17.3
Slot the values into the formula:
Volume = 1/3 × 17.3 x 39
= 1/3 × 674.7 = 674.7/3
Volume = 224.9 approximately 225.
I hope this helps.
The wording of this question is a bit confusing... You can't write a sequence in sigma notation, but rather a series or sum. I think the question is asking you to write the sum of the sequence,

which would be

in sigma notation.
To do this, notice that the denominator in each term is a power of 2, starting with
and ending with
. So in sigma notation, this series is
