we know it pays using simple interest.
So the investor bought it a P dollars, maturity time is 3 years, namely t = 3, rate is 8% or namely r = 8/100, and it'll yield 2000, or A = 2000, let's plug those in the simple interest earned amount equation.
[tex]~~~~~~ \textit{Simple Interest Earned Amount}\\\\A=P(1+rt)\qquad\begin{cases}A=\textit{accumulated amount}&\dotfill \$2000\\P=\textit{original amount deposited}\\r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\\stackrel{maturity}{t=years}\dotfill &3\end{cases}\\\\\\2000=P(1+0.08\cdot 3)\implies \cfrac{2000}{1+0.08\cdot 3}=P\\\\\\ \cfrac{2000}{1.24}=P\implies \boxed{1612.90 \approx P}[/tex]
