(a) Danielle wins £4000 on the lottery. She invests it in a bank account which pays interest at the rate of 1.75% per annum. How much will her initial £4000 have gained after 3 years? (b) Last year she had another win in the lottery. She invested this in a different account which paid 2% interest per annum. She currently has £1591.20 in this account. How much did she win last year on the lottery?