Question

um capital de 100.000.00 depois de 1 ano, transformou em 112,000,00. calcule a taxa de juros simples mensal, trimensal semestral e atual

Answer 1

Para encontrar a taxa anual, basta dividir o valor final pelo inicial (pois já está em ano), e subtrair de 1.


Taxa anual:

$Taxa\ Anual = \dfrac{112.000}{100.000}-1\\\\ Taxa\ Anual = 1,12-1\\\\ Taxa\ Anual = 0,12\ (\ 12\%\ a.a.\ )$


Taxa semestral:

$Taxa\ Semestral = \dfrac{taxa\ anual}{2}\\\\ Taxa\ Semestral = \dfrac{0,12}{2}\\\\ Taxa\ Semestral = 0,06\ (\ 6\%\ a.s.\ )$


Taxa trimestral:

$Taxa\ Trimestral = \dfrac{taxa\ semestral}{2}\\\\ Taxa\ Trimestral = \dfrac{0,06}{2}\\\\ Taxa\ Trimestral = 0,03\ (\ 3\%\ a.t.\ )$


Taxa mensal:

$Taxa\ Mensal = \dfrac{taxa\ trimestral}{3}\\\\ Taxa\ Mensal = \dfrac{0,03}{2}\\\\ Taxa\ Mensal = 0,01\ (\ 1\%\ a.m.\ )$


Bons estudos!