SOLUTION: A furniture store is closing out its business. Each week the owner lowers prices by 25%. After how many weeks will the sale price of a $500 item drop below $100?

Question 394562: A furniture store is closing out its business. Each week the owner lowers prices by 25%. After how many weeks will the sale price of a $500 item drop below $100?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let w = # weeks
Then after w weeks , the price becomes .
Then we want , or .
If w = 5, to four decimal places.
If w = 6, to 3 decimal places.
So AFTER 6 weeks, the price should be less than $100.
Though technically speaking it will only take weeks (or after 5 weeks and Thursday of the new week) for the price to be lower than $100.
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