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July 30, 2014

July 30, 2014

Posted by **Anonymous** on Thursday, December 29, 2011 at 7:36pm.

- math -
**Damon**, Thursday, December 29, 2011 at 7:44pm100 - 5.5 = 94.5 so

present value = original value * .945^n

100 - 54 = 46

so final value = original value * .46

so

original value *.46 = original value * .945^n

or

.945^n = .46

n log .945 = log .46

n = log.46/log.945 = 13.7 years

- math -
**Damon**, Thursday, December 29, 2011 at 7:48pmMy answer assumes depreciation per year is based on current depreciated value. If instead it is "straight line" or a constant amount per year then

.055 * original value = amount per year

.055 n = .54

n = 9.82

You problem does not specify which type of depreciation is intended.

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