Answer:
b
Step-by-step explanation:
1,4,9,16,25,36,...
we see every number is square of numbers .
every number can be represented by n²
1²=1
2²=4
3²=9
4²=16
5²=25
6²=36
Factor <span><span><span><span>2<span>x3</span></span>+<span>7<span>x2</span></span></span>−<span>3x</span></span>−18</span><span><span><span><span>2<span>x3</span></span>+<span>7<span>x2</span></span></span>−<span>3x</span></span>−18</span><span>=<span><span><span>(<span>x+2</span>)</span><span>(<span>x+3</span>)</span></span><span>(<span><span>2x</span>−3</span>)</span></span></span>Answer:<span><span><span>(<span>x+2</span>)</span><span>(<span>x+3</span>)</span></span><span>(<span><span>2x</span>−3</span><span>)</span></span></span>
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
