Revision as of 22:03, 19 November 2023 by Admin (Created page with "'''Solution: B''' Let face amount equal 1. <math display = "block"> \begin{aligned} & 1.61=2.25 i\left(\frac{1-v^{18}}{i}\right)+v^{18} \\ & 1.61=2.25\left(1-v^{18}\right)+v^{18} \\ & 1.25 v^{18}=0.64 \\ & v=0.96342 \\ & 1.45=2.25 i\left(\frac{1-v^n}{i}\right)+v^n \\ & 1.45=2.25\left(1-v^n\right)+v^n \\ & 1.25 v^n=0.8 \\ & v^n=0.64 \\ & n \ln 0.963492=\ln 0.64 \\ & n=12\end{aligned} </math> {{soacopyright | 2023 }}")
Exercise
ABy Admin
Nov 19'23
Answer
Solution: B
Let face amount equal 1.
[[math]]
\begin{aligned} & 1.61=2.25 i\left(\frac{1-v^{18}}{i}\right)+v^{18} \\ & 1.61=2.25\left(1-v^{18}\right)+v^{18} \\ & 1.25 v^{18}=0.64 \\ & v=0.96342 \\ & 1.45=2.25 i\left(\frac{1-v^n}{i}\right)+v^n \\ & 1.45=2.25\left(1-v^n\right)+v^n \\ & 1.25 v^n=0.8 \\ & v^n=0.64 \\ & n \ln 0.963492=\ln 0.64 \\ & n=12\end{aligned}
[[/math]]
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