In her role as editor of a new national book club, Denise Briggs has compiled statistics suggesting that the fraction of its members who are still active t months after joining is given by the function S(t) = e^−0.02t. The club currently has 5,000 members, and Denise expects new members to join at the rate of R(t) = 5t per month. How many members should Denise expect to be active in the club 9 months from now?