Samuel owns a printing machine.
The printing machine is depreciated in value by Samuel using flat rate depreciation.
The value of the machine, in dollars, after `n` years, `Vn` , can be modelled by the recurrence relation
`V_0 = 120\ 000, qquad V_(n+1) = V_n - 15\ 000`
- By what amount, in dollars, does the value of the machine decrease each year? (1 mark)
- Showing recursive calculations, determine the value of the machine, in dollars, after two years. (1 mark)
- What annual flat rate percentage of depreciation is used by Samuel? (1 mark)
- The value of the machine, in dollars, after `n` years, `V_n`, could also be determined using a rule of the form `V_n = a + bn`.
Write down this rule for `V_n`. (1 mark)