1.Determine the time necessary for $ 1600 to triple if it is invested at 4.5 % and compounded monthly(Round to nearest month) 2. The number of bacteria in a culture is given by N = 300e, where t= hours and N= the number of bacteria. If N= 340 when t= 11, estimate the time required for the population to reach 1000( to the nearest tenth). 3. You deposit $ 2000 into an account that pays annual interest of 2% compounded quarterly. How long will it take for the balance to reach $2500? 4. After 7 years, an investment of $ 3400.00 was compounded continuously and returned $4778.55. Find the rate at which this return was possible. 5. The conservation group observes that the growth of a herd follows the model : 1000 P = -0.1656t where t is the time in terms of months 1+7e a) Estimate the population after 9 months (whole number) b) When will the pollution be 500 ( nearest month) .026x ' 6. The population y, in millions, of a large city can be modeled by y = 1.8e where x = 0 corresponds to 1990. In what year did the population of this city reach 2.5 million? 7. Two hours after bacteria were introduced into a culture, the population was 256. Five hours after that the population was 541. What will the population be 24 hours after the start of the experiment? 8. The radioactive isotope 226 Ra has a half-life of 1620 years. If the original amount was 5 grams, how much would remain after 10,000 years? 9. The state game commission released 100 animals into a game preserve. The agency believes that the carrying capacity of the preserve is 1200 animals and that the growth of the herd can be modeled by p(t) 1200 = -0.1588t 1+8e where t is measured in months. How long will it take the herd to reach one half of the preserve's carrying capacity?