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prohojiy [21]
2 years ago
14

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

ncreased to 420. Find the rate of growth after 3 hours.
Mathematics
2 answers:
Assoli18 [71]2 years ago
8 0

Step-by-step explanation:

Rate of growth equals 420/100 = 4.2 times per hour

So after t=three hours,

size of culture = 100*(4.2)^t = 100*4.2^3=7408.8 bacteria,

round to nearest unit 7409 bacteria after three hours (after initial size of 100).

prohojiy [21]2 years ago
6 0

Answer:

a) 100•4.2^t

b) P(3)= about 7409 bacteria

c) P’(3)= about 10,632 bacteria per hour

d) t= about 3.2 hours

Step-by-step explanation:

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Answer:

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12x + 14y = 1098

The number of $14 shares is seven more than twice the number of $12 shares.

y = 2x + 7

We have a system of equations.

12x + 14y = 1098

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We can use the substitution method since the second equation is already solved for y. Substitute 2x + 7 for y in the first equation.

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Check:

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