dn5407173 dn5407173
  • 30-06-2021
  • Mathematics
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1-0.4^n>=0.99 howwwwwwwwwwwwwwwwwwwwwwwwww

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Danboghiu66
Danboghiu66 Danboghiu66
  • 30-06-2021

Answer:

n>=6

Step-by-step explanation:

1-0.4ⁿ>=0.99

1-0.99>=0.4ⁿ

0.4ⁿ<=0.01

Apply log10:

Log10(0.4ⁿ)<=log10(0.01)

n×log10(0.4)<=log10(0.01)=-2

Because log10(0.4)=-0.39794 is negative we get:

n>=5.028.

Since n is integer, we have n>=6

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