The amount of money in the account after t years is given by the function
[tex]f(t)=1000\cdot(1.12)^t[/tex]
We want to evaluate how much money would be in your account after the third year, to do it we must put t = 3 in our function, then
[tex]\begin{gathered} f(t)=1000\cdot(1.12)^t \\ \\ f(3)=1000\cdot(1.12)^3 \\ \\ f(3)=1000\cdot1.404928 \\ \\ f(3)=1404.928 \end{gathered}[/tex]
And we can approximate to
[tex]\$1404.93[/tex]
