Question

Um capital de 10000 reais, aplicado a juros compostos, produz juros de 1025 reais em

2 meses. Calcule a taxa mensal de juros.
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Answer 1

Explicação passo-a-passo:

=> Montante

$\sf M=C+J$

$\sf M=10000+1025$

$\sf M=11025$

=> Taxa

$\sf M=C\cdot(1+i)^{t}$

$\sf 11025=10000\cdot(1+i)^2$

$\sf (1+i)^2=\dfrac{11025}{10000}$

$\sf 1+i=\sqrt{\dfrac{11025}{10000}}$

$\sf 1+i=\dfrac{105}{100}$

$\sf i=\dfrac{105}{100}-1$

$\sf i=\dfrac{105-100}{100}$

$\sf i=\dfrac{5}{100}$

$\sf \red{i=5~\%}$