Below gives values of an exponential function P.Give a formula P(t) in the form P(t)=Poa^t and also in the form P(t)=Poe^rt.If rounding is necessary round to 4 decimal places.

t | 0| 1 | 2

P(t)| 60 | 94.8 | 149.784

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- Dec 11th 2009, 05:05 PMmathcalculushelpPert and Ab^t form
Below gives values of an exponential function P.Give a formula P(t) in the form P(t)=Poa^t and also in the form P(t)=Poe^rt.If rounding is necessary round to 4 decimal places.

__t | 0| 1 | 2__

P(t)| 60 | 94.8 | 149.784 - Dec 11th 2009, 06:13 PMdedust
$\displaystyle P(t)=P_{0}a^t$, subs $\displaystyle t=0$, we get $\displaystyle P_{0}=60 $. subs $\displaystyle t=1$, you'll get $\displaystyle a$.

for $\displaystyle P(t)=P_{0}e^{rt}$, subs $\displaystyle t=0$ and $\displaystyle t=1$ (or $\displaystyle t=2$) you'll get $\displaystyle P_{0}$ and $\displaystyle r$ - Dec 14th 2009, 11:40 AMmathcalculushelpfinding r
For

P(t)=Poe^rt

am putting t=0

so Po=60

how do i get r?

once i get Po and r ..do i plug it in the formula? - Dec 14th 2009, 12:51 PMe^(i*pi)