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