2011 NJC Q5 [Modified]

A university student has a goal of saving at least \(\$1 000 000\) (in Singapore dollars). He begins working at the start of the year 2019. In order to achieve his goal, he saves \(40\%\) of his annual salary at the end of each year. If his annual salary in the year 2019 is \(\$40800\) and it increases by \(5\%\) (of his previous year’s annual salary) every year, find

1. his saving at the end of the year 2027 (to the nearest dollar),[2]
2. his total savings at the end of \(n\) years.[2]
3. What is the minimum number of complete years for which he has to work in order to achieve his goal?[3]