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| rev | Admin | (Created page with "'''Solution: C''' Let <math>v=1 /(1+.07)</math> and let <math>w=1 /(1+.05)</math>. <math display="block"> \begin{aligned} 50000 & =\left(P v+2 P v^2+\cdots+10 P v^{10}\right)+v^{10}\left(10 P(1.05) w+\cdots+10 P(1.05)^{10} w^{10}\right) \\ & =P v\left(1+2 v+\cdots+10 v^9\right)+v^{10} P(10+10+\cdots+10) \end{aligned} </math> <math display="block"> \begin{aligned} S & =1+2 v+3 v^2+\cdots+10 v^9 \\ v S & =1 v+2 v^2+\cdots+9 v^9+10 v^{10} \\ (1-v) S & =1+v+\cdots+v^9-1...") | Nov 26'23 at 22:48 | +1,073 |