SOLUTION: The initial value of a vehicle is 25000 each year it depreciates V=25000(0.8)^t Will the car ever be worth nothing? Thanks

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?

Thanks
Found 3 solutions by ikleyn, MathLover1, MathTherapy:
Answer by ikleyn(52830)   (Show Source): You can put this solution on YOUR website!
.

When the depreciated value of the car will become less than half-cent,
it will be worth nothing (after rounding the value).

Simply the given exponential formula becomes non-sensical and non-applicable
much earlier than the time becomes infinite.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

The initial value of a vehicle is each year it depreciates

Will the car ever be worth nothing? -> will be when

.........solve for

.......take log of both sides
=>

-> no solution for in

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

The initial value of a vehicle is 25000 each year it depreciates V=25000(0.8)^t Will the car ever be worth nothing?
Thanks

Looking at the right side of the equation, it's obvious that NO value for "t" could ever make the left-side, 0. It will be close to,
but never 0. Plus, "t" (time) can never be < 0.
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