Assignment:
Q1) The populations of termites and spiders in a certain house are growing exponentially.The house contains 100 termites the day you move in. After 4 days, the house contains 200 termites. Three days after moving in, there are two times as many termites as spiders. Eight days after moving in, there were four times as many termites as spiders. How long (in days) does it take the population of spiders to triple?
Q2) In 1987, the population of Mexico was estimated at 82 million people, with an annual growth rate of 2.5%. The 1987 population of the United States was estimated at 244 million with an annual growth rate of 0.7 %. Assume that both populations are growing exponentially.
(a) When will Mexico double its 1987 population?
(b) When will the United States and Mexico have the same population
Q3) The cities of Abnarca and Bonipto have populations that are growing exponentially. In 1980, Abnarca had a population of 25,000 people. In 1990, its population was 29,000. Bonipto had a population of 34,000 in 1980. The population of Bonipto doubles every 55 years.
(a) How long does it take the population of Abnarca to double?
(b) When will Abnarca's population equal that of Bonipto?
Provide complete and step by step solution for the question and show calculations and use formulas.