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1 Pure Mathematics

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Question 635

A mining company is evaluating the output of a lithium reserve.

  • In Year 1, the company extracts 4,500 tonnes of lithium.
  • In Year 16, due to depletion, the annual yield is predicted to drop to 1,500 tonnes.

Model A assumes that the annual yield will decrease by the same fixed amount each year.

a.

According to model A, determine the amount of lithium extracted in Year 2.

[2]
b.

Model B assumes that the annual yield will decrease by the same percentage each year.

According to model B, determine the amount of lithium extracted in Year 2. Give your answer to the nearest tonne.

[2]
c.

Calculate the difference between the total yield predicted from Year 1 to Year 16 inclusive under the two models. Give your answer to the nearest tonne.

[4]
Markscheme

1 Pure Mathematics Questions

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