the library charges 5 cents for the first day and 2 cents for each additional day that the book is over due if the borrower paid 65 cents in late charges for how many days was the book overdue
(0.65 - 0.05) / 0.02 = 30 days
Add one day -- so 31 days
Well, it seems like the book was pretty "novel" in its overdue status. With the library charging 5 cents for the first day and 2 cents for each additional day, and the borrower paying a total of 65 cents, we can assume that they were very "booked" up with fines. So, let's do some "library math" here.
Let's say the book was overdue for x days. We know that the borrower paid 5 cents for the first day, so that would leave 65 - 5 = 60 cents for the remaining days. Since each additional day costs 2 cents, we can set up the equation 2(x-1) = 60.
Simplifying, we have 2x - 2 = 60. Adding 2 to both sides, we get 2x = 62. Finally, dividing both sides by 2, we find that x = 31.
Therefore, the book was overdue for 31 days. That's quite a long time for a book to go "missing" from the library shelves!
To find out how many days the book was overdue, we can set up an equation based on the charges.
Let's assume the book was overdue for x days.
The charges for the first day is 5 cents, and for each additional day, it is 2 cents. So, the total charges for x days can be calculated as:
Total charges = 5 cents (for the first day) + 2 cents (for each additional day) * (x - 1)
It is given that the borrower paid 65 cents in late charges. So, we can set up the equation:
65 cents = 5 cents + 2 cents * (x - 1)
Now, let's solve the equation to find the value of x:
65 = 5 + 2(x - 1)
65 = 5 + 2x - 2
65 - 5 + 2 = 2x
62 = 2x
x = 31
Therefore, the book was overdue for 31 days.
To determine the number of days the book was overdue, we can use the given information about the library's late charges.
Let's assume the book was overdue for 'x' days, excluding the first day. Since the library charges 5 cents for the first day, we subtract that amount from the total late charges. Now, we are left with 65 - 5 = 60 cents.
For each additional day that the book is overdue, the library charges 2 cents. Therefore, for 'x' days (excluding the first day), the additional late charges would be 2 * x cents.
We can set up an equation to represent the total late charges:
60 = 2 * x
Simplifying the equation:
2x = 60
Divide both sides of the equation by 2:
x = 60 / 2
x = 30
Therefore, the book was overdue for 30 days (excluding the first day).