Answer:
45
Step-by-step explanation:
Use the geometric sum formula for in infinite sum. 20 terms of this basic formula is close enough The 20th term is 8.6 * 10^-10 which means this goes out to a number with 9 zeros after the decimal and before the 8.
Put another way, the tenth number of this series is the only one affected.
When you use a spreadsheet, it seems to know that the answer is 3/2 as the solution to the sum.
Solution.
Sum = a / (1 - r)
a = 1
r = 1/3
Sum = 1 / (1 - 1/3)
Sum = 1 // 2/3
sum = 3/2
Now you can worry about the 30.
30 * sum(1/3)^n = 30* 3/2 = 45
If there is something you want more information on, leave a note.
Answer:
No, those are not the correct measurements.
Step-by-step explanation:
Assuming that 9 will equal the hypotenuse we will use the Pythagorean theorem.

a = 5
b = 3

Well 
So...that doesn't quite work out.
Let's change our equation to double check.


Once again, that doesn't work out.
So the final answer is, no. Those are not the correct measurements.
Answer:
<u>3.63 years</u>
Step-by-step explanation:
The formula would be of compound growth, which is:

Where
F is future amount (with interest)
P is initial deposit
r is rate of interest in a year
n is number of compounding in 1 year
t is the time in years
Given in this problem:
To accumulate 2000 interest means the future amount will be:
10000+2000 = 12,000
Present amount is 10,000
r is the annual interest, which is 5% or 0.05
compounded monthly means, 12 times a year, so n = 12
t is time in years, which we need to find
Substituting, we have:

The time it will take is around <u>3.63 years</u>
Answer:
m∠B≈53°
Step-by-step explanation:
Since this is a 3, 4, 5 triangle, the angle measures are:
∠A=36.87°
∠B=53.13°
∠C=90°
m∠B≈53°
Answer:
Both books use stories as guidance to life.
Step-by-step explanation:
The Hebrew Bible teaches that there is one God.
The Epic of Gilgamesh did not originate from the Israelites. It was ancient Mesopotamian.
The Epic of Gilgamesh was not written on papyrus
Therefore the only answer that it can me is the final one.