Question

Calcule o montante e os juros das aplicações abaixo, considerando o regime de juros compostos:

Answer 1

Explicação passo-a-passo:

$J=C\cdot i\cdot t$

a) $M=20000\cdot(1+0,03)^7$

$M=20000\cdot1,03^7$

$M=20000\cdot1,23$

$M=24600$

$J=M-C$

$J=24600-20000$

$J=4600$

b) 5 meses = 5/12 do ano

$M=6800\cdot(1+0,3449)^{\frac{5}{12}}$

$M=6800\cdot1,3449^{\frac{5}{12}}$

$M=6800\cdot1,13$

$M=7684$

$J=M-C$

$J=7684-6800$

$J=884$

c) 150 dias = 150/365 = 30/73 do ano

$M=6800\cdot(1+0,3449)^{\frac{30}{73}}$

$M=6800\cdot1,3449^{\frac{30}{73}}$

$M=6800\cdot1,13$

$M=7684$

$J=M-C$

$J=7684-6800$

$J=884$

d) $M=6800\cdot(1+0,025)^{5}$

$M=6800\cdot1,025^{5}$

$M=6800\cdot1,13$

$M=7684$

$J=M-C$

$J=7684-6800$

$J=884$