# math

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local store going out of business. Owner decreases all prices by 5% every day until all items are sold.
Customer wants dress priced at \$2500.

How long does she have to wait for repeated discounts to reduce price of dress to less than \$700?

• math -

Let d be the number of days of required discounts.

2500*(0.95)^d = 700
0.95^d = 0.28
d = log.28/log*.95 = 24.8
That means 25 days to be less than \$700.

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