Final answer:
The sale price of the first washing machine is $227.50 after a 50% discount. The second washing machine has a final sale price of $254.80 after a sequential discount of 20% and an additional 30%. Kareem should buy the first washing machine as it is cheaper by $27.30.
Step-by-step explanation:
Kareem is trying to decide between two washing machines that both have a list price of $455. To determine the sale price of each washing machine, we need to calculate the discounts. The first washing machine is marked down by 50%. Therefore, the sale price can be found by calculating 50% of $455, which is $227.50. So, the sale price of the first washing machine is $455 - $227.50 = $227.50. The second washing machine has a sequential discount of 20% followed by an additional 30%. First, we take 20% of $455, which is $91. This gives us a new price of $455 - $91 = $364. Then we apply the additional 30% discount on the $364, which is $109.20. Thus, the final sale price of the second washing machine is $364 - $109.20 = $254.80. Comparing the two sale prices, we see that the first washing machine at $227.50 is cheaper than the second one at $254.80. Therefore, Kareem should buy the first washing machine if he wants to save money and if the machines are identical other than their sale prices.