Question

Em quanto tempo um capital triplica de valor a taxa de 20% ao ano?

Answer 1

M = 3C

sabemos que o montante será o triplo do capital

$\Large M= C* (1+i)^t\\\\ 3C = C*(1+0,02)^t\\\\ 3= 1,02^t~~~~~~~~aplica~log\\\\ log3=t*log1,02 ~~ na~ calculadora \\\\ 0,48= t*0,008\\\\ t= \frac{0,48}{0,008}\\\\\\ t=60~meses~~ou\\\\ \large \boxed{\boxed{t=5~anos}}$