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?

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.

To find out how long the customer needs to wait for the dress to be priced under $700, we need to determine how many days it will take for the repeated discounts to reduce the price of the dress to that amount.

Let's break it down step by step:

1. Calculate the discount amount for one day: 5% of $2500.
Discount amount for one day = 5% * $2500 = $125.

2. Calculate the reduced price after one day of discount:
Price after one day = $2500 - $125 = $2375.

3. Repeat step 2 for subsequent days, reducing the price by $125 each day until it reaches less than $700.

Let's create a table to track the reduction in price over multiple days:

Day | Price
-------------
0 | $2500
1 | $2375
2 | $2250
3 | $2125
4 | $2000
5 | $1875
6 | $1750
7 | $1625
8 | $1500
9 | $1375
10 | $1250
11 | $1125
12 | $1000
13 | $875
14 | $750
15 | $625
16 | $500
17 | $375
18 | $250
19 | $125

From the table, we can see that on the 19th day, the price of the dress will be $125. Since the customer wants the price to be under $700, they will have to wait 19 days for the repeated discounts to reduce the price of the dress to less than $700.