Question

Calcule o montante de um capital de 6.000,00 empregado durante dois anos e seis meses a taxa de 1,5 a.m

Answer 1

No Regime de Juros Simples:

$Juros~=~Capital~.~Taxa~.~Periodo\\\\\\Juros~=~6000~.~\frac{1,5}{100}~.~30\\\\\\Juros~=~\frac{6000~.~1,5~.~30}{100}\\\\\\Juros~=~60~.~1,5~.~30\\\\\\\boxed{Juros~=~R\ \,2.700,00}\\\\\\Montante~=~Capital+juros\\\\\\Montante~=~6000+2700\\\\\\\boxed{Montante~=~R\ \,8.700,00}$

No Regime de Juros Compostos:

$Montante~=~Capital~.~\left(1+Taxa\right)^{periodo}\\\\\\Montante~=~6000~.~\left(1+\frac{1,5}{100}\right)^{30}\\\\\\Montante~=~6000~.~(1,015)^{30}\\\\\\Montante~=~6000~.~1,5631\\\\\\\boxed{Montante~=~R\ \,9.378,60}$