Revision as of 19:18, 18 November 2023 by Admin (Created page with "'''Solution: B''' <math display = "block"> \begin{aligned} & 1000 \cdot a_{20 \mid i}=\frac{600}{i}+\frac{600 v^{10}}{i} \\ & 5\left(\frac{1-v^{20}}{i}\right)=\frac{3}{i}\left(1+v^{10}\right) \\ & 5-5 v^{20}=3+3 v^{10} \\ & 0=5 v^{20}+3 v^{10}-2 \\ & \text { Let } x=v^{10}=\frac{-3 \pm \sqrt{9+4(5)(2)}}{2(5)}=\frac{-3 \pm 7}{10}=0.4 \Rightarrow i=9.59582 \% \\ & X=\frac{600}{0.0959582}(1+0.4)=8753.8\end{aligned} </math> {{soacopyright | 2023 }}")
Exercise
ABy Admin
Nov 18'23
Answer
Solution: B
[[math]]
\begin{aligned} & 1000 \cdot a_{20 \mid i}=\frac{600}{i}+\frac{600 v^{10}}{i} \\ & 5\left(\frac{1-v^{20}}{i}\right)=\frac{3}{i}\left(1+v^{10}\right) \\ & 5-5 v^{20}=3+3 v^{10} \\ & 0=5 v^{20}+3 v^{10}-2 \\ & \text { Let } x=v^{10}=\frac{-3 \pm \sqrt{9+4(5)(2)}}{2(5)}=\frac{-3 \pm 7}{10}=0.4 \Rightarrow i=9.59582 \% \\ & X=\frac{600}{0.0959582}(1+0.4)=8753.8\end{aligned}
[[/math]]
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