Question 961552

Help me, please? I know the formula is P=Poe^kt, but I don't how to isolate the variable to find Po?!
Consider a particular investment bond that pays out 3% annual interest
compounded continually. If the bond is valued at $10,000 after 10 years,
how much was it worth at 5 years?
<pre>{{{A = P[o]e^(rt)}}}, with: 
{{{A}}} being the accumulated amount after 10 years, or the future value in 10 years
{{{P[o]}}} being the accumulated amount after 5 years
{{{r}}} being the annual interest
{{{t}}} being the time, in years

We then get:
{{{A = P[o]e^(rt)}}} 
{{{10000 = P[o]e^(.03(5))}}}
{{{10000 = P[o]e^.15}}}
{{{P[o] = 10000/e^.15}}}
Accumulated amount after 5 years, or {{{highlight_green(P[o] = "$"8607.08)}}}