To solve this, we will use the formula for future value based on compound interest. The formula is:

$FV = PV \times (1 + r)^t$

Where:

• $FV$ is the future value of the investment.
• $PV$ is the present value (initial deposit).
• $r$ is the annual interest rate (expressed as a decimal).
• $t$ is the time the money is invested or will grow (in years).

Given:

• $PV = 2,600$ (initial deposit)
• $r = 99\%$ (or 0.99 as a decimal)
• Time $t$ is 30 years for Part 1 and 40 years for Part 2.

Part 1: Future Value in 30 years

For $t = 30$: $FV = 2,600 \times (1 + 0.99)^{30}$

Part 2: Future Value in 40 years

For $t = 40$: $FV = 2,600 \times (1 + 0.99)^{40}$

I will now calculate the results for both parts.### Part 1: In 30 years, your account will be worth $2,401,959,278,074.85 (rounded to the nearest cent).

Part 2:

In 40 years, your account will be worth $2,339,356,469,599,484.00 (rounded to the nearest cent).

These large numbers result from the extremely high annual interest rate of 99%, which leads to exponential growth over time.

Do you want any more details or have further questions?

Here are 5 related questions to expand on this:

1. How does the future value change if the interest rate is lower (e.g., 10%)?
2. What if the deposit is made monthly instead of as a lump sum?
3. How would the future value be affected if interest compounds quarterly?
4. What would be the result after