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
Option 1 : -22
using formula
(a + b )(a - b ) = a^2 - b^2
(√10 + 2√8) (√10 - 2√8)
= (√10)^2 - (2√8)^2
= 10 - 2×2×8=10-32
= -22
2nd question answer is option 3
Answer:
Yes.
Step-by-step explanation:
Answer:
c) 68%
Step-by-step explanation:
The empirical rule states that most of the data will be within three standard deviations in a normal distribution. The 68% of the data will be within one standard deviation, the 95% will be within two standard deviations, and 99.7% of the data will be within three standard deviations.
A normal distribution is a continuous distribution in which values around the mean are the most frequents. It can also be called a bell-shaped distribution.
