Question

determine o capital aplicado a juros compostos de 4,5% a,m, sabendo que após 8 meses rendeu um montante de r$ 12752?

Answer 1

M=C(1+i)^t

12752 = C(1+0,045)^8
C = 12752/1,4221... ≈  R$ 8967

Answer 2

$Montante = Capital \times (1 + taxa)^{periodo}\\\\ Capital = \dfrac{Montante }{(1+taxa)^{periodo}}\\\\\\ Capital = \dfrac{12.752}{(1+0,045)^{8}}\\\\\\ Capital = \dfrac{12.752}{(1,045)^{8}}\\\\\\ Capital \approx \dfrac{12.752}{1,4221016}\\\\\\ \boxed{Capital \approx R\ \ 8.967,01}$


Bons estudos!