Question

Qual é a taxa anual de juros equivalente a taxa de juros compostos de 8% ao mês. ieq=(1+i)q/t -1 ieq = taxa equivalente q = quero (prazo) t = tenho (prazo) Escolha uma: a. 151,82% a.a. b. 96% a.a. c. 80% a.a. d. 115,28% a.a. e. 182,15% a.a.

Answer 1

Resposta:

Alternativa A.

A taxa anual de juros equivalente é de 151,817011682%.

Explicação passo-a-passo:

Vamos utilizar a fórmula de taxa equivalente:

$T_{Quero}= \left(\left\{\left(1+\dfrac{T_{Tenho}}{100}\right)^{\left[\dfrac{Prazo_{\ quero}}{Prazo_{\ tenho}}\right]}\right\}-1\right)\times100\\\\\\T_{Ano}= \left(\left\{\left(1+\dfrac{T_{M\^{e}s}}{100}\right)^{\left[\dfrac{Prazo_{\ ano}}{Prazo_{\ M\^{e}s}}\right]}\right\}-1\right)\times100\\\\\\T_{Ano}= \left(\left\{\left(1+\dfrac{8}{100}\right)^{\left[\dfrac{12}{1\right]}\right\}-1\right)\times100$

$T_{Ano}= (\{(1,08)^{12}}\}-1)\times100\\\\T_{Ano}= (2,51817011682-1)\times100\\\\T_{Ano}= 1,51817011682\times100\\\\\boxed{\bf{T_{Ano}= 151,817011682\%}}$

${\begin{center}\fbox{\rule{2ex}{2ex}\hspace{20ex}{#ESPERO TER AJUDADO !}\hspace{20ex}\rule{2ex}{2ex}}}{\end{center}}$