SOLUTION: A home purchased for $300,000 depreciated 8% over a 1-year period. What was the value of the home at the end of the year?

Algebra ->  Graphs -> SOLUTION: A home purchased for $300,000 depreciated 8% over a 1-year period. What was the value of the home at the end of the year?      Log On


   



Question 124930: A home purchased for $300,000 depreciated 8% over a 1-year period. What was the value of the home at the end of the year?
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
In the one year period it lost 8% of its value ... so it lost 0.08 times $300,000.
.
If you multiply 0.08 times $300,000 you get an answer of $24,000.
.
So the home started out at $300,000 and it lost $24,000 of its value. That means that its
worth at the end of the year was $300,000 minus $24,000 or $276,000.
.
Another way of working this problem would be to say that in a one-year period a home lost 8%
of its value. Therefore, its new value was 92% of its original value [from 100% minus 8% = 92%].
And since 92% = 0.92, just multiply the original value of $300,000 by 0.92 and you again get $276,000
as its value one year after you purchased it.
.
Hope this helps you to understand the problem.
.