Respuesta :
Answer:
b) False
Step-by-step explanation:
Taking successive discounts of 15% off and then 25% off does not result in the same discount as taking a one-time discount of 40%.
To illustrate this, let's consider an example with an original price of $100:
Taking a 15% discount first would result in a price of $100 - (15/100) * $100 = $85.
Then, taking a 25% discount on the reduced price would result in a final price of $85 - (25/100) * $85 = $63.75.
On the other hand, taking a one-time 40% discount on the original price of $100 would result in a final price of $100 - (40/100) * $100 = $60.
Therefore, the two scenarios of successive discounts and a single discount do not yield the same final price, indicating that the statement is false.
Final answer:
Taking successive discounts of 15% and 25% results in a different final price than taking a one-time 40% discount, as the two discounts compound on each other. false.
Explanation:
Taking successive discounts of 15% and then 25% is not the same as taking a one-time discount of 40%. To illustrate this, let's take an example of a $100 item. A 15% discount reduces it to $85 ($100 - $15). Now, a 25% discount on $85 further reduces the price by $21.25 ($85 * 0.25), leaving the final price at $63.75 ($85 - $21.25). In contrast, a single 40% discount on $100 would reduce the price by $40, giving a final price of $60.b) False
Taking successive discounts of 15% and 25% off is not equivalent to a one-time discount of 40%. When taking successive discounts, the overall discount is calculated on the remaining amount after the previous discount. Therefore, the total discount is slightly less than the sum of the individual discounts. In this case, taking a 15% discount first, and then a 25% discount off the reduced price, results in a slightly smaller overall discount compared to a direct 40% discount. Thus, the statement is false as the two scenarios do not yield the same final price.
