The shares of a newly listed company are doubling in value every 12 hours. If you bought $3,000 worth of the stock when it was first offered:

1. Determine the appropriate model giving the value of your investment at each hour of the day of initial trading.
2. How much will your shares be worth at the end of the first day of trading (i.e.,24 hours later)?
3. How long will it take for your initial investment to triple its value. Round your answer to two decimal points. Justify.