ur4286
23.06.2019 •
Mathematics
The bear population in ri has been increasing by 8% each year. in the year 2010 there were only 20 bears spotted in ri. based on this info,a. create a function a(t) that represents the bear pop, t years since 2010b. determine bear pop in 2020c. find out when there are more than 100 bears
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Ответ:
See below in bold.
Step-by-step explanation:
a. The factor of growth = 1.08 per year so
P = 20(1.08)^t where P = the bear population and t = the time in years since 2010.
b. It is 10 years after 2010 so:
In 2020: P = 20 * (1.08)^10
= 43 bears.
c. When P = 100 we have:
100 = 20 * (1.08)^t
(1.08)^t = 100/20 = 5
t ln 1.08 = ln 5
t = 20.9 years.
So there will be more than 100 bears in the year 2010 + 21
= 2031.
Ответ: