brmoen1392
25.12.2019 •
Mathematics
There are 20 alligators in the swamp. each year, the number of alligators increases by 25%. there are 25 crocodiles in the swamp. each year, 10 new crocodiles join the swamp.
part b: how many alligators are in the swamp after 4 years? how many crocodiles are in the swamp after the same number of years?
part c: after approximately how many years is the number of alligators and crocodiles the same? justify your answer mathematically.
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Ответ:
A=20(1.25^t)
C=25+10t
b)
A(4)=20(1.25^4)≈48.82≈49 alligators to nearest whole alligator
C(4)=25+10(4)=65 crocodiles.
c)
20(1.25^t)=25+10t
1.25^t=1.25+0.5t
t≈7
Ответ: