How to find the surface area of a 3D shape?
1 answer:
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Answer:
So, the initial population of the bacteria culture is 80.003 and the expression after t hours is P(t)=80.003 e^(0.8047\times t).
Step-by-step explanation:
Given:
A bacteria culture with constant relative rate.
No. of bacteria = Time (
) =
hrs
No.of bacteria = Time (
) = 8 hrs
Here the growth is exponential.
Formula to be used.
where
= Number of bacteria after time (
).
= Initial population
According to the question.
...equation (i)
...equation (ii)
Dividing equation (ii) with (i)
⇒
⇒
⇒
Now using function both sides.
⇒
⇒ using
rule
⇒
And from logarithmic rule
⇒
⇒
Now plugging this k value in any of the equation we can find the initial population.
a)
Then,
The initial population of the bacteria culture is 80.003
b)
Expression for the population after hours.
So, the initial population of the bacteria culture is 80.003 and the expression after t hours is P(t)=80.003 e^(0.8047\times t).