Question 1194551

The initial value of a vehicle is {{{25000}}} each year it depreciates 

{{{V=25000(0.8)^t }}}

Will the car ever be worth nothing? -> will be when {{{V=0}}}


{{{0=25000(0.8)^t }}}.........solve for {{{t}}}

{{{0/25000=(0.8)^t }}}

{{{0=(0.8)^t }}}.......take log of both sides

{{{log(0)=log((0.8)^t) }}}=> {{{log(10.0)= -infinity}}}

{{{infinity=t*log(0.8) }}}

{{{t= -infinity/-0.2231435513142097 }}}

{{{t= infinity }}}-> no solution for {{{t}}} in {{{R}}}