| The value of Charlie's car, \(\pounds V , t\) years after 1 January 2016 may be modelled by the equation \(V = A \mathrm { e } ^ { - k t }\) |
| where \(A\) and \(k\) are positive constants. |
| Find the value of \(t\) when the car has a value of \(\pounds 10000\), giving your answer to two significant figures. |
| [5 marks] \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) |
| [1 mark] \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) |