Chase plays the piano and the cello. For every 2 hours he practices the piano, he practices the cello for 3 hours. If he practic
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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