In order to find the original amount invested, we can use the following formula:
[tex]P=P_0(1+i)^t[/tex]Where P is the final amount, P0 is the original amount, i is the interest rate and t is the amount of time invested.
So, using P = 4840, i = 10% = 0.1 and t = 2, we have:
[tex]\begin{gathered} 4840=P_0(1+0.1)^2_{} \\ 4840=P_0\cdot1.1^2 \\ 4840=P_0\cdot1.21 \\ P_0=\frac{4840}{1.21} \\ P_0=4000 \end{gathered}[/tex]So the original amount invested is $4,000.
