SOLUTION: 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
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-> SOLUTION: 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
compo
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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? Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39625) (Show Source):
You can put this solution on YOUR website! P=pe^(kt), using small p to avoid using subscripts. Big P is for balance of the bond after any time t. The formula rendered is . Your goal is in part, to isolate p, which you can do multiplying both sides by .
If p=1, the in 1 year, t=1, , , reasonably near the expected 3% increase. The value of constant k is the same as the interest rate of 3% or 0.03=r=k.
Your description of P=10000 after t=10 means you still want to know the initial investment amount.
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ln(P)=ln(p)+ln(e^(kt))
ln(P)=ln(p)+kt*1
ln(P)-kt=ln(p)
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those steps seem unnecessary although correct.
BETTER----------------------------------------- -----you could use a calculator for this. , the initial investment amount.
You can put this solution on YOUR website!
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?
, with: being the accumulated amount after 10 years, or the future value in 10 years being the accumulated amount after 5 years being the annual interest being the time, in years
We then get:
Accumulated amount after 5 years, or