formula is 
where A=final amount
P=principal
r=interest rate in decimal
n=number of times per year it is compounded
t=time in years
we want to find where
A=2P
and P=5745
and r=6.5%=0.065
n=monthly=12
remember that 
also that 
, solving for t
divide both sides by 5745 to simplify things a bit
I'd rather not simplify this because it give us a decimals and those aren't exact, if we combine, we get 12.065/12 for inside parenthases

take ln of both sides


divide both sides by 

using our calculator, t≈10.6927
so rounded, we get 10.7 years
set A = {2, 4, 6, 8, 10} (only even cards)
set B = {8, 9, 10} (8 or higher)
( A ∩ B ) means the numbers which are common in both sets .
They both have 8 & 10 in common.
So the answer is: P(A ∩ B) = {8,10}
Answer: 5/12
Step-by-step explanation:
Step 1
Whenever you have something OF something, you just mulltiply.
1/3 of 5/8=
1/3x5/8
5/24
She used 5/24, and started with 5/8
5/8-5/24= 5/12 left
Answer:
Khan Academy
The robot uses the expected amount of energy, but it doesn't filter the expected amount of air and water.
Step-by-step explanation:
Answer:
8)5.1*10⁶
9)6.98*10 to the power of -6
10) 3.000052*10⁰
11)0.006548