Question

1. There are 1,000 students in a college dormitory, and some students have been diagnosed with meningitis, a highly contagious disease. A model for how many students will have the disease after n days is
m[n + 1] = m[n] + 0.00090*m[n]*(1000 - m[n]);
m[n + 1] = m[n] + 0.00090 m[n] (1000 - m[n])
Two students returned from spring break with meningitis.

a. When will all the students be infected?

b. The Health centre will start immunizing students when 10% of the students are infected,. When should it start immunizing?

2.  Your credit card balance is $14,000 with a current rate of 24% per year (or 2% per month). Interest is charged monthly. Each month you charge $100 to the card. Determine the smallest monthly payment p (to the nearest cent) that will pay off the card in 6 years (the last payment may be less than p).

Answer 1