Answer:
n=6
Step-by-step explanation:
You can find this value fairly quickly if you have a calculator with a spreadsheet function or an application that has spreadsheets and formulas, like google sheets.
The starting value, or month zero=18000.
Every following year the salary will increase by 5%.
This forms a recursive equation, each term referring to the previous one and building.
For example, the next term in the sequence is: 18000×(1.05)¹ since it has been one year.
The next term would plug in the solution from that year 18000×(1.05)¹=18900 into the equation and do it again: 18900×(1.05)²=20837.25
You can of course keep going like this, calculating each term and then plugging it back into the formula (Previous term) × (1.05)^(number term you are looking for), but it is much faster to use the fill function and just figure out when it is larger than 36,000. For this situation, that happens at n=6 with a value of 37,420.71.
