Describe and exemplify the application of the following financial equations with a numerical example:

1. FVao = PMT ((1+R)ⁿ 1)/R
2. T = rt x rf x (1+df)
3. Fv = ( X₀ + X/R) (1 + R)ⁿ (X/R)
4. P.I.=
5. 

1- 1 CIE t0 =0 (1+k) COF (1+k) =0 Waste tonnes % Dilution X 100 Ore tonnes+Waste tonnes 1- 1 CIE t0 =0 (1+k) COF (1+k) =0 Waste tonnes % Dilution X 100 Ore tonnes+Waste tonnes