SOLUTION: A business buys a car for $32 000. For the company records, the value of the car is depreciated each year. The value of the vehicle could be reduced by the same amount each year o

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A business buys a car for $32 000. For the company records, the value of the car is depreciated each year. The value of the vehicle could be reduced by the same amount each year o      Log On


   



Question 1025137: A business buys a car for $32 000. For the company records, the value of the car is depreciated each year. The value of the vehicle could be reduced by the same amount each year over a given number of years until the value is zero. This is called straight line depreciation. Another method is to reduce the value of the car by a percentage each year, 20% for example.
Compare the depreciated value of the car after five years using both methods of depreciation. Use 20% for the percentage depreciation. For straight line depreciation reduce the value of the car by the same amount over 5 years, until the value is zero.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
20% depreciation each year:
+A+=+32000%2A%28+1+-+.2+%29%5E5+
+A+=+32000%2A.8%5E5+
+A+=+32000%2A.3277+
+A+=+10485.76+
The car is worth $10,485.76 after 5 yrs
--------------------
+32000+%2F+5+=+6400+
If the car depreciates by $6.400 each year,
after 5 yrs the car is woth $0