 How much will they have in the account at the end of 

1010 

​years? 

To calculate how much Jack and Jill will have in their account at the end of 1010 years, we will use the same future value of an annuity formula:

\[
FV = P \times \frac{(1 + r)^n - 1}{r}
\]

Where:
- $P = 65$ (annual payment),
- $r = 0.66$ (interest rate),
- $n = 1010$ years.

Let’s calculate the future value after 1010 years.After 1010 years, the future value of Jack and Jill's account would be an astronomical amount, approximately **2.01 × 10²²⁴** dollars. This number is extremely large due to the compounding effect of the very high interest rate (66%) over such a long period of time.

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How much will they have in the account at the end of 1010 years?

Discover how to calculate the future value of an annuity with an annual payment of $65, an interest rate of 66%, and a time period of 1010 years. Explore key concepts in exponential growth and compound interest for long-term investments. Ideal for advanced high school and college-level math students.

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