Question

em quanto tempo R$1800,00 aplicados a juros compostos de 12% ao mês irá render R$589,56 de juros

Answer 1

C = R$1.800
i = 12%
M =R$589,56
t = ???

M = C . ( 1 + i )^t

589,56 = 1.800 . ( 1 + 12% )^t

589,56 = 1.800 . ( 1 + 12/100)^t

589,56 = 1.800 . ( 1 + 0,12 )^t

589,56 = 1.800 . ( 1,12)^t

1.800
_____. = ( 1,12 )^t
589,56

1,12^t = 1.800
.............._____
...............589,56

1,12^t = 3,0531243

log 1,12^t = log 3,0531243

t log 1,12. = log3,0531243

0,483512505 t = 0,919038968

0,484 t = 0,919

t = 0,919
......._____
.......0,484

t = 1,8987603

t = 1,8