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Question Number 218066 by ajfour last updated on 28/Mar/25

$$IfAlphaprimeborrows25\mathrm{\$}from$$$$LYCONTRIXattherzteof12\mathrm{\%}p.a.$$$$Howmuchdoestheformerowetothe$$$$otherinaspanof8years?$$

Commented by Frix last updated on 28/Mar/25

$$\mathrm{Strange}\mathrm{names}...$$

Commented by ajfour last updated on 01/Apr/25

Ignorance is bliss. btw they are users on this forum

Answered by mr W last updated on 28/Mar/25

$$ifcompoundedyearly:$$$$25\times {(1+\frac{12}{100})}^8=61.90\mathrm{\$}$$$$ifcompoundedmonthly:$$$$25\times {(1+\frac{12}{100\times 12})}^{8\times 12}=64.98\mathrm{\$}$$

Commented by ajfour last updated on 28/Mar/25

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Commented by mr W last updated on 29/Mar/25

$$\underset{n\to \mathrm{\infty }}{\lim 25}\times {(1+\frac{12}{100\times n})}^{8n}$$$$=\underset{n\to \mathrm{\infty }}{\lim 25}\times {\left[{(1+\frac{12}{100\times n})}^{\frac{100\times n}{12}}\right]}^{\frac{8\times 12}{100}}$$$$=25\times e^{\frac{8\times 12}{100}}$$$$=65.23\mathrm{\$}$$

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