Problem 359

Problem 359

The Rental Depreciation Problem. The owner of a rental house can depreciate its value over a period of  27\tfrac{1}{2}  years, meaning that the  value of the house declines at an even rate over that period of time until the value is  0.     a. By what fraction does the value of the house depreciate the first year?  b. If the house is judged to be worth85,000, what is the value of the first year’s depreciation?

 

Solution

a.  \tfrac{1}{27\tfrac{1}{2}}= \frac{1}{\frac{55}{2}}=\frac{2}{55}

So, the depreciation is \frac{2}{55} each year.

 

b. Value of the first year’s depreciation = \frac{2}{55}*85000 = $3090.91

 

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