Answer:
The correct option is a-$27.89
The selling price for an item would be $27.89 after the 10th week which was originally priced at $80.
Step-by-step explanation:
Each week, a store reduces the price of any unsold item by 10%
If this continues for 10 weeks, what should be the selling price for an item that was originally priced at $80?
The reduced price of the unsold item is given by
Initial price × (1 – discount) ⁿ
Where discount is 0.10 and n is the week number
After 1st week:
$80(1 - 0.10)¹
$80(0.90)¹
$72
After 2nd week:
$80(1 - 0.10)²
$80(0.90)²
$64.80
After 3rd week:
$80(1 - 0.10)³
$80(0.90)³
$58.32
Similarly, we can find the price of the unsold item for the 10th week by substituting n = 10
After 10th week:
$80(1 - 0.10)¹⁰
$80(0.90)¹⁰
$27.89
Therefore, the selling price for an item would be $27.89 after the 10th week which was originally priced at $80.