Advanced Functions

Identify the point of intersection of these two curves:

P(t)=300(1.05)^t
F(t)=1000(0.92)^t

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  1. 300(1.05)^t=1000(.92^t)

    take the log of each side..

    log 300+tlog1.05=log1000+tlog.92
    t(log1.05-log.92)=log 1000-log300
    t(log(1.05/.92)=log(1000/300)
    t= log(920/315)=.465
    check my math.

  2. you did it right up until:
    t = log(920/314) = 0.465, I have no idea how you got those numbers but it's
    t(log(1.05/.92))=log(1000/300)
    t(log(1.1141304348)=log(3.3(rpt.))
    t(0.057401472)=0.522878745
    t=(0.522878745)/(0.057401472)
    t=9.1092

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