Posted by Anonymous on Thursday, December 29, 2011 at 7:36pm.
Brad bought $5,141 worth of office equipment. The government allows for office equipment to be depreciated at an annual rate of 5.5% per year. How long will it take for Brad to depreciate the equipment fiftyfour percent?

math  Damon, Thursday, December 29, 2011 at 7:44pm
100  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 7:48pm
My 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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