Leonhard Euler · 1748 · Internet Archive
Introductio in analysin infinitorum
All 320 leaves · leaf 111
Transcription
EXPONENTIALIBUS AC LOGARITHMIS. 83
CAP. VI.
$\frac{l 25000 - l 5000}{l \frac{105}{100}} = \frac{l 5}{l \frac{21}{20}} = \frac{6989700}{211893}$; erit ergo $x$ aliquanto minor quam 33; scilicet elapsis annis 33 non solum debitum extinguetur, sed creditor debitori reddere tenebitur $\frac{(n^{33}-1)b}{n-1} - n^{33}A = \frac{(\frac{21}{20})^{33} \cdot 5000 - 25000}{\frac{1}{20}} = 100000(\frac{21}{20})^{33} - 500000$ flor. Quia vero est $l \frac{21}{20} = 0,0211892991$, erit $l(\frac{21}{20})^{33} = 0,69924687$, & $l 100000 (\frac{21}{20})^{33} = 5,6992469$, cui respondet hic numerus $50031
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