Question

Em juros compostos, qual a taxa mensal equivalente a 75% a.a?

Answer 1

Resposta:

A taxa mensal equivalente é de 4,773914659%.

Explicação passo-a-passo:

Para resolver devemos utilizar a fórmula de taxa equivalente.

$T_{Quero}= \left(\left\{\left(1+\dfrac{T_{Tenho}}{100}\right)^{\left[\dfrac{Prazo_{\ quero}}{Prazo_{\ tenho}}\right]}\right\}-1\right)\times100\\T_{Mensal}= \left(\left\{\left(1+\dfrac{T_{Anual}}{100}\right)^{\left[\dfrac{Prazo_{\ mensal}}{Prazo_{\ anual}}\right]}\right\}-1\right)\times100\\T_{Mensal}= \left(\left\{\left(1+\dfrac{75}{100}\right)^{\left[\dfrac{1}{12}\right]}\right\}-1\right)\times100\\T_{Mensal}= \left(\left\{(1,75})^{\left[\dfrac{1}{12}\right]}\right\}-1\right)\times100$

$T_{Mensal}= (1,04773914659-1)\times100\\\\T_{Mensal}= 0,04773914659\times100\\\\\boxed{\bf{T_{Mensal}= 4,773914659\%}}$

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