Answer:
5 years I think....
Step-by-step explanation:
B Specie A Specie
5000 2000
10000 4000
6000
8000
10000
Answer:
30.54 yrs
Step-by-step explanation:
We have been given the following exponential growth functions;
Species A;
[tex]p=2000e^{0.05t}[/tex]
Species B;
[tex]p=5000e^{0.02t}[/tex]
where t = 0 in 2010.
We are required to determine the number of years it will take for the populations of both species to be equal.
To do this we simply equate the two exponential functions and solve for t;
[tex]2000e^{0.05t}=5000e^{0.02t}\\\\2e^{0.05t}=5e^{0.02t}\\\\\frac{5}{2}=\frac{e^{0.05t} }{e^{0.02t} }\\\\2.5=e^{0.03t}\\\\ln(2.5)=0.03t\\\\t=\frac{ln(2.5)}{0.03}=30.543[/tex]
