2 years ago

assuming the growth rate stays constant at 1.2%, how many doublings would take place in a 500- year period?

Mathematics

1 answer:

Juliette [100K]2 years ago

3 0

9514 1404 393

Answer:

8.6

Step-by-step explanation:

The growth factor per year is 1.012, so in 500 years is ...

1.012^500

The number of doublings is the solution to ...

2^n = 1.012^500

Taking logarithms, we have ...

n·log(2) = 500·log(1.012)

n = 500·log(1.012)/log(2) ≈ 8.6046

About 8.6 doublings will take place in 500 years.

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