Determine the time necessary for P dollars to double when it is invested at interest rate r compounded monthly, daily. r =3.4%
plug in 2P for A .034 for r solve for t
then whats the difference between monthly and daily
\[\Large 2\cancel P=\cancel P \left( 1 + {0.034\over12} \right)^{12t}\]and \[\Large 2\cancel P=\cancel P \left( 1 + {0.034\over365} \right)^{365 t}\]
wait don't go yet let me solve it
how do i get t out of an exponent
take log of both sides
i got 20.44 for monthly but it aid its wrong
20.4155493 ... monthly 20.3876313 ... daily
when you do 1+0.034/12, do NOT round
ooooh! how do i know when to use a=pert and the one u gave me for this problem
A=Pe^(rt) is when compounding continuously only
ok thank you again how do u know all this?
\[\Large A=P \left( 1+\frac rn \right)^{nt}\] is where you no compound n times in a year.
*no = only
thanks a lot
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