Given that the book value of the automobile that was purchased is 30,000 and is to be depreciated for 3 years using MACRS method of depreciation the value of the automobile at the end of the year is 8,640 dollars. This is computed by summing up the depreciation for the firswt 3 years which is equal to 71.2 per cent less 100 then it will be multiply to 30,000.
Given:
The values are 
.
To find:
The values of 
and 
.
Solution:
We have,
...(i)
Multiply both sides by 10.
...(ii)
Subtracting (i) from (ii), we get
And,
Now, the product of a and b is:
The quotient of a and b is:
Therefore, the required values are and .
Joe runs one lap around a track in 80 seconds. Joe and Jim meet after 30 seconds.We know how long does it take for Joe to run one lap, so we can calculate what distance he runs in 30 seconds:
He runs half lap for 40 seconds. He runs quarter lap for 20 minutes and he runs 1/8 lap for ten minutes. So for 30 seconds he runs 3 * 1/8 lap=3/8 lap.
Because Jim runs in opposite direction this means that he will meat with Joe at 1-3/8=5/8 lap. So, Jim runs 5/8 lap for 30 seconds.
1/8 lap Jim runs for 30/5=6 seconds, so Jim needs 8*6=48 seconds to run the lap.
After 30 seconds Joe has run e runs
