.Arianna invested $250 in an account paying an interest rate of 8, one quarter841​% compounded continuously. Lily invested $250 in an account paying an interest rate of 8, start fraction, 3, divided by, 4, end fraction843​% compounded quarterly. After 18 years, how much more money would Lily have in her account than Arianna, *to the nearest dollar*?

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To solve this problem, we need to calculate the future value of each investment and then find the difference between the two.

### Given Data:
- **Arianna's Investment:**
  - Principal ($ P $) = $250
  - Interest Rate ($ r $) = 8.841% or 0.08841
  - Compounding Type = Continuously
  - Time ($ t $) = 18 years

- **Lily's Investment:**
  - Principal ($ P $) = $250
  - Interest Rate (\(

Calculate how much more money Lily would have compared to Arianna after 18 years with different compounding methods. Understand the impact of continuous and quarterly compounding on investments.

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