Find an equation for the linear function g(x) which is perpendicular to the line 5x-2y=6 and intersects the line 5x-2y=6 at x=12
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Answer:
49243
Step-by-step explanation:
Given that the population of rabbits on an island is growing exponentially.
Let the population,
where, and b are constants, t=(Current year -1994) is the time in years from 1994.
In 1994, t=0, the population of rabbit, P=9600, so
So,
and in 2000, t=2000-1994=6 years and population of the rabbit, P=18400
b=0.109
On putting the value of P_0 and b, the population of the rabbit after t years from 1994 is
In 2009, t= 2009-1994=15 years,
So, the population of the rabbit in 2009
Hence, the population of the rabbit in 2009 is 49243.