Question

The basement of a large department store features discounted merchandise. Their policy is to reduce the previous month's price of the item by 10 % each month for 5 months, and then give the unsold items to charity. Let Upper S Subscript 5 be the sale price for the fifth month and Upper P the original price. Express Upper S Subscript 5 as a function of Upper P.

Answer 1

Below is the solution:
P(t) = Po(1 - r)^t 

P(t) = price after t months --> S 
Po = initial price -- P 
r = rate as a decimal 

S = P(.9)^4 
-> = 100(.9)^4 
-> = 65.61 

(100 - 65.61)/100 
34.39/100 
34%

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.