Edexcel D1 2010 January — Question 5

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2010
SessionJanuary
TopicFixed Point Iteration

5. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{17bc9fb2-13bf-4ffa-93ac-bef170467570-6_2228_613_269_861} \captionsetup{labelformat=empty} \caption{Figure 4}
\end{figure} An algorithm is described by the flowchart shown in Figure 4.
  1. Given that \(\mathrm { S } = 25000\), complete the table in the answer book to show the results obtained at each step when the algorithm is applied. This algorithm is designed to model a possible system of income tax, T, on an annual salary, £S.
  2. Write down the amount of income tax paid by a person with an annual salary of \(\pounds 25000\).
  3. Find the maximum annual salary of a person who pays no tax.