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revAdmin (Created page with "'''Solution: C''' <math display = "block"> \begin{align*} 30 = \textrm{MACD} = \frac{\sum_{n=0}^{\infty}nv^n}{\sum_{n=0}^{\infty} v^n} = \frac{Ia_{\overline{\infty}|}}{\ddot{a}_{\overline{\infty}|}} = \frac{1/\left(d i\right)}{1/d}=\frac{\left(1+i\right)/\,i^{2}}{\left(1+i\right)/\,i}=\frac1i\ , \implies i = 1/30 \\ \textrm{ModD} = \frac{\textrm{MacD}}{1+i} = \frac{30}{1 + \frac{1}{30}} = 29.032. \end{align*} </math> {{soacopyright | 2023 }}")Nov 20'23 at 12:15+448