3) Complete the table for a savings account in which interest is compounded continuously. (Round any dollar amount to the nearest cent and any other value to 4 decimal places.)

Initial Investment		Annual % Rate		Time to Double		Amount After 8 Years
$1,000		%		6 yr		$

4) Complete the table for the timet(in years) necessary forPdollars to triple when interest is compounded continuously at rater. (Round your answers to two decimal places.)

r	2%	4%	7%	8%	11%	13%
t

5) A conservation organization releases 100 animals of an endangered species into a game preserve. The organization believes that the preserve has a carrying capacity of 1200 animals and that the growth of the herd will follow the logistic curve

p(t) =

1200

1 + 11e^0.1621t

where t is measured in months.

(a) What is the population after 9 months? (Round your answer to the nearest whole number.) ______ animals (b) After how many months will the population reach 500? (Round your answer to the nearest whole number.) ______ months (c) Use a graphing utility to graph the function. Use the graph to determine the values of p at which the horizontal asymptotes occur.

p = (smaller value)

p = (larger value)

Identify the asymptote that is most relevant in the context of of the problem and interpret its meaning. The population will approach as time ---Select--- increases decreases .