Final answer:
The original price of the alarm clock is $26.79.
Step-by-step explanation:
To find the original price, we can use the formula:
Original Price = Sale Price / (1 - Discount Percentage)
Given that the sale price is $18.75 and the discount is 30%, we can substitute these values into the formula to find the original price:
Original Price = $18.75 / (1 - 0.30)
Solving the equation, we get:
Original Price = $18.75 / 0.70 = $26.79
Therefore, the original price of the alarm clock to the nearest cent is $26.79.