A population, P, of termites (aka mites) is growing in a laboratory according to the function defined by: P(t) = 80 log,(t +7) – 20, where t is the number of days after a study has begun. (Round all answers to the nearest whole number.) a) Find the number of mites present after 90 days. b) Having 300 mites in a confined space puts the laboratory at risk of closing down. How many years does the lab get to study their mites before they must destroy them and start all over again?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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6. A population, P, of termites (aka mites) is growing in a laboratory according to the function defined by:
P(t) = 80 log,(t +7) – 20, where t is the number of days after a study has begun.
(Round all answers to the nearest whole number.)
a) Find the number of mites present after 90 days.
b) Having 300 mites in a confined space puts the laboratory at risk of closing down. How many years
does the lab get to study their mites before they must destroy them and start all over again?
Transcribed Image Text:6. A population, P, of termites (aka mites) is growing in a laboratory according to the function defined by: P(t) = 80 log,(t +7) – 20, where t is the number of days after a study has begun. (Round all answers to the nearest whole number.) a) Find the number of mites present after 90 days. b) Having 300 mites in a confined space puts the laboratory at risk of closing down. How many years does the lab get to study their mites before they must destroy them and start all over again?
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