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inessss [21]
3 years ago
10

BRAINLIEST ASAP! PLEASE HELP ME :)

Mathematics
1 answer:
lisov135 [29]3 years ago
3 0

Answer:

<h2>After 30.5430 ≅ 30.5 years the population will be same.</h2>

Step-by-step explanation:

Let, in (2010 + t) the population of these two species will be equal.

Hence, after t years of 2010, the population of species A will be 2000e^{0.05t} and the population of the species B will be 5000e^{0.02t}.

As per our assumption, these population are same.

Hence,

2000e^{0.05t} = 5000e^{0.02t}\\2e^{0.05t}  = 5 e^{0.02t}\\e^{0.03t} = \frac{5}{2} \\0.03t = ln \frac{5}{2}\\t = 30.5430.

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