SOLUTION: Got a question regarding an equation for a survival rate/average duration for an unemployment insurance claimant. Basically I've got D - The average duration of weeks of a

Algebra ->  Equations -> SOLUTION: Got a question regarding an equation for a survival rate/average duration for an unemployment insurance claimant. Basically I've got D - The average duration of weeks of a       Log On


   

Question 125452: Got a question regarding an equation for a survival rate/average duration for an unemployment insurance claimant.
Basically I've got
D - The average duration of weeks of a UI claimant.
S - The week to week survival rate of claimants.
p - The Average potential duration that an individual may claim.
To solve for duration I have this equation:
D = (1-S^p)/(1-S)
or as far as I've been able to go:
D - (-S^p + 1)/(-S + 1) = 0

Anyone have any input on this? It would be much appreciated!
Thanks,
Kevin

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Not sure if this is really going to answer the mail, but here is what I would do:

D+=+%281-S%5Ep%29%2F%281-S%29

D%281-S%29=1-S%5Ep

-1%2BD-DS=-S%5Ep

1-D%2BDS=S%5Ep

log%2810%2C1-D%2BDS%29=log%2810%2CS%5Ep%29

log%2810%2C1-D%2BDS%29=p%2Alog%2810%2CS%29

log%2810%2C1-D%2BDS%29%2Flog%2810%2CS%29=p