In an isolated environment, a disease spreads at a rate proportional to the product of the infected and non-infected populations. let i(t) denote the number of infected individuals. suppose that the total population is 3000, the proportionality constant is 0.0003, and that 1% of the population is infected at time t=0. write down the intial value problem and the solution i(t).

Expresa commuter train leaves downtown sation and travels at a average speed of 55 miles per hour towards the north side sation, which is 50miles away. thirty minutes later, express commuter train #7 leaves north side and travels at a average speed of 35miles per hour towards downtown sation. at the moment the two trains pass each other, how far(in miles) is train #12 from the downtown sation and how long(in minutes) has the #12 train been traveling

Tamar is measuring the sides and angles of tuv to determine whether it is congruent to the triangle below. which pair of measurements would eliminate the possibility that the triangles are congruent

Acar loses a quarter of its value every year. it is originally worth $35,000. to the nearest dollar, how much will the car be worth in 8 years?