Consider the following two monetary incentives when purchasing a desktop computer at the regular price of $299. 25% Off All Desktops with Regular Price of $200 or More. $70 Rebate on Any Purchase of $200 or More. Find the final price of the better incentive, after the discount has been applied. Round the answer to two decimal places. The final price of the computer after the discount from the better incentive has been applied is $??

Answer 1

To find the better incentive for the desktop computer priced at $299, we will calculate the final price with both incentives:

1. 25% Off All Desktops

   • Calculate the discount: \[ 25% \text{ of } 299 = 0.25 \times 299 = 74.75 \]
   • Subtract the discount from the original price: \[ 299 - 74.75 = 224.25 \]

2. $70 Rebate on Any Purchase of $200 or More

   • Subtract the rebate from the original price: \[ 299 - 70 = 229 \]

Now we compare the two final prices:

• From the 25% discount: $224.25
• From the $70 rebate: $229

The better incentive is the one with the lower final price, which is $224.25.

Therefore, the final price of the computer after the discount from the better incentive has been applied is: \[ \boxed{224.25} \]