A store is having a three-day sale. On the first day of the sale, the price of an item is reduced by 10% from its regular price.

Each day of the sale after the first day, the price of each sale item is reduced to equal 90% of its price from the previous day.
One sale item has an original price of $10.00.
What is the price for the item on the 3rd day of the sale?

First, we need to determine the price of the item on the first day of the sale after the 10% reduction.

10% of $10.00 is $1.00
So, the price of the item on the first day of the sale is $10.00 - $1.00 = $9.00

Next, we need to find the price of the item on the second day of the sale, which is 90% of the price on the first day.
90% of $9.00 is $9.00 x 0.90 = $8.10

Finally, we need to find the price of the item on the third day of the sale, which is 90% of the price on the second day.
90% of $8.10 is $8.10 x 0.90 = $7.29

Therefore, the price of the item on the 3rd day of the sale is $7.29.