Could someone please take me step by step how on earth I would complete this question:
An asset, A, has a present value of £10000 which depreciates exponentially. The value of the asset at the end of t years is given by y = 10000e-0.12t How many years (to 2dp) will it take for the asset to depreciate down to £3000?
Logarithims and depreciation watch
- Thread Starter
- 15-11-2008 20:10
- 15-11-2008 20:37
I would think you intended to write 'The value of the asset at the end of t years is given by:
as this is the usual form for exponential depreciation.
You know what y is the value after a number of years so if you want to know how long it takes to be valued at £3000 then what you have to do is substitute 3000 in for y so now you have:
Where t is the time taken to depreciate in value to £3000.
All you need to do now is solve it. First divide both sides by 10000 and then remember that if:
If it was actually supposed to be
then simply put y as 3000 and then solve the equation.
Hope this helps