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# FM Table

## 1.5 Use of Data and Graphs

### Constructing Graphs from Tables

• Given a table containing the x and y values of several points on a graph, we can construct a graph by plotting the known points and draw between them, using the trend of points to guess the overall shape of the graph.
• When guessing the shape of the graph, there are many possible options. It is best to go with the simplest option.

Example

We wish to construct a graph from the above table. To begin, we plot the points on a graph:

Now, we draw between these points. In this case, the overall trend appears to curve and so we will draw a curved line:

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## 4.2 Modelling Compound Interest Systems with Regular Withdrawals using Tables

Note: if you cannot remember how to model reducing balance systems with regular repayments, revise notes for 4.1 Modelling Compound Interest Systems with Regular Withdrawals.

### Guidelines to using a Table for Compound Interest Systems with Regular Withdrawals

• Tables provide a convenient method for analysing compound interest systems with regular withdrawals, especially when there are regular systemic changes (e.g. the interest rate or withdrawals change regularly).
• The columns of the table should list, the compounding period, withdrawal, interest earned, principal addition (i.e. the amount the system has increased/decreased during each compounding period) and the balance at the end of the compounding period.
• The principal addition can be calculated as follows:
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## 3.2 Modelling Reducing Balance Systems with Regular Repayments using Tables

Note: if you cannot remember how to model reducing balance systems with regular repayments, revise notes for 3.1 Modelling Reducing Balance Systems with Regular Repayments.

### Guidelines to using a Table for Reducing Balance Systems

• Tables provide a convenient method for analysing reducing balance systems, especially when there are regular systemic changes (e.g. the interest rate or repayments change regularly).
• The columns of the table should list, the compounding period, payment, interest charged, principal addition (i.e. the amount the system has increased/decreased during each compounding period) and the balance at the end of the compounding period.
• The principal addition can be calculated by as follows:
Read More »3.2 Modelling Reducing Balance Systems with Regular Repayments using Tables