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The equation LaTeX: p=5000\cdot2^tp = 5000 ⋅ 2 t represents the population of an invasive fish species in a large lake, years since 2005, when the fish population in the lake was first surveyed.


What was the population in 2005?


Sagot :

Answer:

10000 fish species

Step-by-step explanation:

Given

[tex]p=5000\cdot2^t[/tex]

Required

Find the population in 2005

2005 is the first year

So: [tex]t = 1[/tex]

Substitute 1 for t in [tex]p=5000\cdot2^t[/tex]

[tex]p=5000\cdot2^t[/tex]

[tex]p = 5000 * 2^1[/tex]

[tex]p = 5000 * 2[/tex]

[tex]p = 10000[/tex]