If-Alphaprime-borrows-25-from-LYCONTRIX-at-the-rzte-of-12-p-a-How-much-does-the-former-owe-to-the-other-in-a-span-of-8years-

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

I f A l p h a p r i m e b o r r o w s 25 $ f r o m

L Y C O N T R I X a t t h e r z t e o f 12 % p . a .

H o w m u c h d o e s t h e f o r m e r o w e t o t h e

o t h e r i n a s p a n o f 8 y e a r s ?

Commented by Frix last updated on 28/Mar/25

Strange names \dots

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

i f c o m p o u n d e d y e a r l y :

25 \times {(1 + \frac{12}{100})}^{8} = 61.90 $

i f c o m p o u n d e d m o n t h l y :

25 \times {(1 + \frac{12}{100 \times 12})}^{8 \times 12} = 64.98 $

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 \infty}{\lim 25} \times {(1 + \frac{12}{100 \times n})}^{8 n}

= \underset{n \to \infty}{\lim 25} \times {[{(1 + \frac{12}{100 \times n})}^{\frac{100 \times n}{12}}]}^{\frac{8 \times 12}{100}}

= 25 \times e^{\frac{8 \times 12}{100}}

= 65.23 $

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