The population on an island is modeled by P(t)=600040+60e−0.03t
1 answer:
Answer:
600040
Step-by-step explanation:
Given the population of people on an island modeled by the equation P(t)=600040+60e−0.03t for t≥0 where P(t) is the number of people on the island after years. To get limt→∞P(t), we will substitute infinity into the equation as shown;
limt→∞ 600040+60e−0.03t
= 600040+60e−0.03(∞)
= 600040+60e−∞
= 600040+60(1/e∞)
Note that 1/e∞ = 1/∞ = 0
Hence the equation becomes;
= 600040+60(0)
= 600040
Hence limt→∞P(t) is 600040
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