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8. [Maximum mark: 5]
   On 1 January in a particular year, Eva invests $25 000 in a new bank account. The account earns 5$25 000, at the start of each subsequent year.
   The amounts in the account at the start of each year form an arithmetic sequence.

(a) Find the common difference of this sequence. [2]

After k complete years, the amount in Eva’s account will be greater than $44 000 for the first time.

(b) Find the value of k. [3]