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prohojiy [21]
3 years ago
9

Logarithms:

Mathematics
1 answer:
bogdanovich [222]3 years ago
5 0

Answer:

  • 2^45 or ≈ 3.5*10^13

Step-by-step explanation:

<u>Given equation</u>

  • f(t) = 2^(kt)
  • f - number of cells, t - number of months, k- coefficient

<u>We got 32 cells in the first month. It means:</u>

  • t = 1, f(1) = 32

<u>Using these numbers we can find the coefficient k:</u>

  • 32 = 2^(k*1)
  • 2^5 = 2^k
  • k = 5

<u>Then the equation becomes:</u>

  • f(t) = 2^(5t)

<u>Average time is 9 months, we can calculate the number of cells:</u>

  • f(9) = 2^(5*9) = 2^45 ≈ 3.5*10^13
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