An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (1)
The discount due date is calculated by adding 10 days to the end of the month, resulting in November 10th.
The discount percentage is 3%, or 0.03.
The discounted bill amount is calculated by subtracting the discount from the original amount, which is 97% of the original bill.
If the original bill amount is x , the discounted bill amount is 0.97 x , and the discount due date is November 10th.
Explanation
Understanding the Problem We are given a bill dated October 17th with terms 3/10 EOM. This means we get a 3% discount if we pay within 10 days of the end of the month. We need to find the discounted amount and the due date for the discount.
Finding the End of the Month First, let's find the end of the month. Since the bill is dated in October, the end of the month is October 31st.
Calculating the Discount Due Date Next, we need to determine the discount due date, which is 10 days after the end of the month. So, October 31st + 10 days = November 10th.
Calculating the Discount Amount Now, let's assume the bill amount is $100 to make the calculation easier. The discount is 3%, which is 0.03. So, the discount amount is 100 × 0.03 = $3 .
Calculating the Discounted Bill Amount The discounted bill amount is the original bill amount minus the discount amount. So, $100 − $3 = $97 . If we express this as a percentage of the original bill, we have 1 − 0.03 = 0.97 , so we pay 97% of the original bill.
Final Answer Therefore, if the original bill amount is x , the discounted bill amount is 0.97 x . The discount due date is November 10th.
Examples
Imagine you receive a bill for your internet service with similar discount terms. Understanding these terms helps you calculate how much you'll save if you pay early. This is useful for budgeting and making informed financial decisions. For example, if your internet bill is $50 and you get a 2/10 EOM discount, you can quickly calculate your savings and the exact date you need to pay by to get the discount.
