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Complete Question
After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of 1/15, every 6.76minutes, and can be modeled by a function, N, which depends on the amount of time, t (in minutes). Before the medicine was introduced, there were 90,000 bacteria in the Petri dish. Write a function that models the number of bacteria t minutes since the medicine was introduced.
Answer:
Nt = 90,000 × e^t/15
Step-by-step explanation:
The function that models the number of bacteria t minutes since the medicine was introduced is written as
Nt = No×e^λt
Where:
No = The initial number of the bacteria after time t
Nt = The current number of the bacteria after time t
λ = Decay constant or factor
t = Time in years
From the question,
No = 90,000 bacteria
Nt = The current number of the bacteria after time t
λ = 1/15
t = Time in years
Therefore, our function is written as:
Nt = 90,000×e^1/15 × t
Nt = 90,000 × e^t/15
Answer:
The simplified version of this expression is
-2x + 15
Hope this helps!!
Answer:
$1.67
Step-by-step explanation:
Let x be the no. of gums
96.6 + 0.79x》100
0.79x 》 3.4
x》4.3037974684
So x = 5
15% discount: she pays 0.85(96.6)
= 82.11
20% discount (after gums)
She pays 0.8[96.6 + 5(0.79)]
= 0.8(100.55)
= 80.44
Less:
82.11 - 80.44
= 1.67
Step-by-step explanation:
2πr
2x 3.14 x 8.1 = 50.22in
