lovelyashjoy
03.09.2020 •
Mathematics
A species of fish was added to a lake. The population size Pt of this species can be modeled by the following function, where t is the number of years from the time the species was added to the lake. P(t) = 1000+(12e^−0.34t)where t is the number of years from the time the species was added to the lake. Find the initial population size of the species and the population size after 9 years. Round your answers to the nearest whole number as necessary.
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Ответ:
1,012 ; 1,001
Step-by-step explanation:
Given the population function :
P(t) = 1000+(12e^−0.34t)
where t is the number of years from the time the species was added to the lake.
Initial population size of the species ; that is the population at year 0
At time, t = 0
P(0) = 1000+(12e^−0.34(0))
= 1000 + (12e^0)
= 1000 + 12(1)
= 1012
Initial population = 1,012
Population after 9 years :
P(9) = 1000+(12e^−0.34(9))
= 1000 + (12e^-3. 06)
= 1000 + (12×0.0468876)
= 1000 + ( 0.5626523)
= 1000.5626
= 1001 ( nearest whole number)
Ответ:
50.25 cm trust me
Step-by-step explanation:
5.25 cm