A new virus has just been declared an epidemic by health officials. Currently, 10,000 people have the disease and it is estimated that t days from now new cases will be reported at the rate of R(t) = 10te^−0.1t people per day. If the fraction of victims who still have the virus t days after first contracting it is given by S(t) = e^−0.015t, how many people will be infected by the virus 90 days from now? One year (365 days) from now?