Question

James Harden's 6 year investment of $100,000 accrued 4.2% interest

continuously. About how much money does he expect to receive?

Answer 1

`~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^(rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$100000\\ r=rate\to 4.2\%\to (4.2)/(100)\dotfill &0.042\\ t=years\dotfill &6 \end{cases} \\\\\\ A = 100000e^(0.042\cdot 6) \implies A = 100000e^(0.252)\implies A \approx 128659.60`