Answer the question in Exercise 32 for a constant renewal rate R = 1,000 and the survival function

Data from Exercises 32

The population of a small town is currently 85,000. A study commissioned by the mayor’s office finds that people are settling in the town at the rate of R(t) = 1,200e^0.01t per year and that the fraction of the population who continue to live in the town t years after arriving is given by S(t) = e^−0.02t. How many people will live in the town in 10 years?

S(t) 1 t + 1