Hello I need some help with these 4 questions. If you could please show me all your work on a separate sheet of paper with the solutions/answers that would be great!

1. If you invest $7500 compounded continuously at 4% p.a. how much will this investment be worth in 5 years? 2. How many years would you have to invest $1000 in order to double your money if you where offered 2.5% /a interest compounded continuously ? 3. A population of 500 E. coli bacteria doubles every 15 minutes. Use this information to find an expression for this population growth. Using this expression, find what the population would be in 87 minutes. Use an exponential model. 4. Using the curve that you constructed for the decomposition of Carbon 14 (in the previous lesson), find the age of a prehistoric cave painting discovered in the Lascaux Caves in southern France if the amount of Carbon 14 has decayed to 40% of it's original mass