Twin sisters Jaimee and Jesse each received $1,000 from their grandparents on their 16th birthday. Jaimee deposited her entire gift into a savings account that pays 5% annual interest compounded semiannually. Jesse decides to spend $100, and then deposit the rest in a savings account that pays 7.75% annual interest compounded monthly. Assuming no withdrawals are made, after 4 years which sister will have more money in their savings account?

What is the difference in the sister's savings after 4 years? Express your answers as a decimal rounded to the nearest hundredth.