a rug store is going out of business. the price of every rug will be reduced each week by 10% of the previous weeks price. this table shows the price of that rug during the first three weeks of the sale.

week 0: $500.00
week 1: $450.00
week 2: $405.00
week 3: $364.50

during which week will the price of this rug be less than 50% of its original price?
A. week 4
B. week 5
C. week 6
D. week 7

Question

a rug store is going out of business. the price of every rug will be reduced each week by 10% of the previous weeks price. this table shows the price of that rug during the first three weeks of the sale. 


week 0: $500.00
week 1: $450.00
week 2: $405.00
week 3: $364.50

during which week will the price of this rug be less than 50% of its original price? 
A. week 4
B. week 5
C. week 6
D. week 7

anonymous · Answer

$$w0=500\rightarrow wn=(0.9)^{n}*500 <(0.5)*500$$

anonymous · Answer

n=7