Respuesta :
Answer:
Population of bacteria in culture after 14 hours is 285541.
Step-by-step explanation:
We are given with [tex]P_{t} =P_{0}(2)^{\frac{d}{t}}[/tex]
Here initial population is 41000 , t=5 and d=14
Plug in these values into the formula
[tex]P_{14} =41000(2)^{\frac{14}{5} }[/tex]
Simplify
[tex]P_{14}= 41000(2)^{2.8}[/tex]
=41000(6.9644)
=285540.5847...
To the nearest whole number is 285541.
Answer:
285541.
Step-by-step explanation:
P0=41000-The initial population
t=14-Time elapsed
d=5-The doubling time
Pt=P0⋅2^t/d
Pt=41000⋅2^14/5-Plug in
Pt=285540.5848≈285541-(Use parenthesis in the calculator for the exponent)