Question

Qual é o juro pago no caso do empréstimo de R$ 200.000,00 à taxa de juros compostos de 2% am e pelo prazo de 5 meses?

Answer 1

$\boxed{J=C\bigg((1+i)^t-1\bigg)}$

$C=\text{R\ 200000,00}\\ i=2\%\ \text{a.m.}=0.02\ \text{a.m.}\\ t=5\ \text{meses}$

$J=200000\bigg((1+0.02)^5-1\bigg)=200000\bigg(0.1040808032\bigg)\ \therefore$

$\boxed{J\approx \text{R\ 20816,16}}$