Consider the following credit card activity for the month of October:

Date Balance Number of Days

October $1$ $$2734$

October $5$ $$3877$

October $12$ $$4627$

October $19$ $$5615$

October $24$ $$6535$

October $29$ $$7713$

If this card's annual APR is $27\mathrm{.}37\%$ and the balance is paid during the grace period, what is the total amount owed for October?

Round your answer to the nearest dollar.