#Gate广场五月交易分享 Principal P=10, Return rate r=20%=0.2, Final amount A=3M

Compound interest formula:
A=P(1+r)^n
Rearranged:
n=\frac{\ln\frac{A}{P}}{\ln(1+r)}


\begin{align}
\frac{A}{P}&=300000\\
n&=\frac{\ln300000}{\ln1.2}\approx\boldsymbol{69.17}
\end{align}


Conclusion:
It takes 70 profitable rounds at 20% to break through 3 million.

Verification:

- 69 rounds: approximately 2.91M (less than 3 million)
- 70 rounds: approximately 3.49M (exceeds 3 million)