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Sagot :

Answer:

73384 kilotons

Step-by-step explanation:

=> Total amount the 1st year = 90,000

=> Since after the 1st yr, there was a reduction of 4%, so 100% - 4% = 96% or 0.96

=> Total time = 6

We know that the formula of a geometric sequence is;

aₙ = a₁ * r⁽ⁿ⁻¹⁾

In which;

  • aₙ = the value that has to be figured out (in this case it would be a₆)
  • a₁ = the first term of the sequence (in this case it would be 90,000)
  • r = common ration (in this case it would be 0.96)
  • n = given time (in this case it would be 6)

Therefore we can finally say;

=> aₙ = a₁ * r⁽ⁿ⁻¹⁾

=> a₆ = 90,000 * 0.96⁶⁻¹

=> a₆ = 90,000 * 0.96⁵

=> a₆ = 73383.54

=> a₆ = 73384 (Rounded to the nearest whole number)

Therefore, rounding the answer to the nearest whole number, the answer would be; 73384 kilotons

Hope this helps! (Btw big shout out to jcherry99 for helping me figure this out!!)

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