6 At the beginning of the year John had a total of \(\pounds 2000\) in three different accounts. He has twice as much money in the current account as in the savings account.
- The current account has an interest rate of \(2.5 \%\) per annum.
- The savings account has an interest rate of \(3.7 \%\) per annum.
- The supersaver account has an interest rate of \(4.9 \%\) per annum.
John has predicted that he will earn a total interest of \(\pounds 92\) by the end of the year.
- Model this situation as a matrix equation.
- Find the amount that John had in each account at the beginning of the year.
- In fact, the interest John will receive is \(\pounds 92\) to the nearest pound. Explain how this affects the calculations.