Please show step by step process for all 3 questions!

24. The value of an antique increases in value at a rate of 2.5% every year. In 2000, the antique was purchased for $5000. a) Determine an explicit formula to represent the value of the antique since the year 2000. b) Use your formula to write the first three terms of the sequence. c) What was the value of the antique in 2008? d) In which year will the value of the antique be $11 866?25. A Registered Education Savings Plan (RESP) earns interest at a rate of 5% per year, compounded annually. Jasmine's parents invest $4000 in the account today. a) Determine an explicit formula to represent the value of the investment. b) Use your formula to write the first four terms of the sequence. c) What will the investment be worth in i) 9 years? ii) 16 years? d) Approximately how long will it take for the investment to double?27. In a lottery, the first ticket drawn wins a prize of $25. Each ticket after that receives a prize that is twice the value of the preceding prize. a) Write a function to model the total amount of prize money given away. b) How many prizes are given out if the total amount of prize money is approximately $2 million