n March​ 1963, Ironman was first introduced in issue number 39 of Tales of Suspense. The original price for that issue was 17 cents. By March of 2015​, 52 years​ later, the value of this comic book had risen to ​$24 comma 202. What annual rate of interest would you have earned if you had bought the comic in 1963 and sold it in 2015 ​(52 years​ later)?

To find the annual rate of interest, we can use the **compound interest formula**:

\[
A = P \left(1 + r\right)^t
\]

Where:
- $ A $ is the final amount ($24,202),
- $ P $ is the initial amount (17 cents or $0.17),
- $ r $ is the annual interest rate,
- $ t $ is the number of years (52 years).

We need to solve for $ r $, the annual rate of interest.

Rearranging the formula to solve for $ r $:

\[
\left(1 + r\right)^t = \frac{A}{P}
\]

\[
1 + r = \left(\frac{A}{P}\right)^{\frac{1}{t}}
\]

\[
r = \left(\frac{A}{P}\right)^{\frac{1}{t}} - 1
\]

Now, let's plug in the values:

- $ A = 24,202 $
- $ P = 0.17 $
- $ t = 52 $

I will calculate this now.The annual rate of interest you would have earned if you had bought the comic book in 1963 and sold it in 2015 is approximately **25.63%**.

Would you like more details or further clarifications on this calculation?

Here are some related questions to consider:
1. How does compound interest differ from simple interest in long-term investments?
2. What other factors can affect the value of collectible items like comic books over time?
3. How would inflation impact the real value of the $24,202 in 2015?
4. Can the same formula be used to calculate interest for shorter time periods (e.g., 10 years)?
5. What is the relationship between risk and interest rates in collectible investments?

**Tip:** Compound interest can significantly increase the value of an investment over long periods, even with a relatively modest starting amount.

In March 1963, Ironman was first introduced in issue number 39 of Tales of Suspense. The original price for that issue was 17 cents. By March of 2015, 52 years later, the value of this comic book had risen to $24,202. What annual rate of interest would you have earned if you had bought the comic in 1963 and sold it in 2015 (52 years later)?

Discover how to calculate the annual interest rate for a comic book bought in 1963 for $0.17 and sold in 2015 for $24,202. This problem explores compound interest and exponential growth over 52 years. Suitable for students in Grades 10-12.

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