1. example 2 Depreciation Chapter 8.4 An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. a.Write a sequence that represents the parts of the automobile value that are depreciated in each year, and show that the sum of the terms is 100%. b.Find the yearly depreciation and show that the sum of the depreciations is $24,000.  2009 PBLPathways

2. An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. a.Write a sequence that represents the parts of the automobile value that are depreciated in each year, and show that the sum of the terms is 100%. b.Find the yearly depreciation and show that the sum of the depreciations is $24,000.

3.  2009 PBLPathways An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. a.Write a sequence that represents the parts of the automobile value that are depreciated in each year, and show that the sum of the terms is 100%.

4.  2009 PBLPathways An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. a.Write a sequence that represents the parts of the automobile value that are depreciated in each year, and show that the sum of the terms is 100%.

5.  2009 PBLPathways An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. a.Write a sequence that represents the parts of the automobile value that are depreciated in each year, and show that the sum of the terms is 100%.

6.  2009 PBLPathways An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. a.Write a sequence that represents the parts of the automobile value that are depreciated in each year, and show that the sum of the terms is 100%.

7.  2009 PBLPathways An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. a.Write a sequence that represents the parts of the automobile value that are depreciated in each year, and show that the sum of the terms is 100%.

8.  2009 PBLPathways An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. a.Write a sequence that represents the parts of the automobile value that are depreciated in each year, and show that the sum of the terms is 100%.

9.  2009 PBLPathways An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. b.Find the yearly depreciation and show that the sum of the depreciations is $24,000.

10.  2009 PBLPathways An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. b.Find the yearly depreciation and show that the sum of the depreciations is $24,000. YearDepreciation 1900,000 2870,000 3840,000 4810,000 5

11.  2009 PBLPathways An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. b.Find the yearly depreciation and show that the sum of the depreciations is $24,000. YearDepreciation 1900,000 2870,000 3840,000 4810,000 5

12.  2009 PBLPathways An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. b.Find the yearly depreciation and show that the sum of the depreciations is $24,000. YearDepreciation 1900,000 2870,000 3840,000 4810,000 5

13.  2009 PBLPathways An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. b.Find the yearly depreciation and show that the sum of the depreciations is $24,000. YearDepreciation 1900,000 2870,000 3840,000 4810,000 5

14.  2009 PBLPathways An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. b.Find the yearly depreciation and show that the sum of the depreciations is $24,000. nanan 1900,000 2870,000 3840,000 4810,000 5

15.  2009 PBLPathways An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. b.Find the yearly depreciation and show that the sum of the depreciations is $24,000. nanan 1900,000 2870,000 3840,000 4810,000 5

16.  2009 PBLPathways An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. b.Find the yearly depreciation and show that the sum of the depreciations is $24,000. nanan 1900,000 2870,000 3840,000 4810,000 5

17.  2009 PBLPathways An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. b.Find the yearly depreciation and show that the sum of the depreciations is $24,000. nanan 1900,000 2870,000 3840,000 4810,000 5

18.  2009 PBLPathways An automobile valued at $24,000 is depreciated over 5 years with the sum-of-the-years- digits depreciation method. Under this method, annual depreciation is found by multiplying the value of the property by a fraction whose denominator is the sum of the 5 years’ digits and whose numerator is 5 for the first year’s depreciation, 4 for the second year’s, 3 for the third, and so on. b.Find the yearly depreciation and show that the sum of the depreciations is $24,000. nanan 1900,000 2870,000 3840,000 4810,000 5