calculate how much would need to be invested at 6% p.a. compounded monthly to accumulate to $14000 in 8 years
$$\\14000=X(1+0.06/12)^{(8*12)}\\\\ 14000=X(1.005)^{96}\\\\ X=14000\div 1.005^{96}$$
$${\frac{{\mathtt{14\,000}}}{{{\mathtt{1.005}}}^{{\mathtt{96}}}}} = {\mathtt{8\,673.334\: \!722\: \!274\: \!609\: \!131\: \!8}}$$
