Question

Calcule o capital inicial que, no prazo de 5meses, a 3% ao mês, produziu o montante de R$4.058,00?

Answer 1

t = 5 m
i = 3% a m  = 12 * 3 = 36% a a
M = C+ j  = 4.058
j = 4.058 - C

j = cit/1200
(4058 - C//1 = ( 36 * 5 * C)/1200
( 4058 - C/1   = 180C/1200
multiplica em cruz
180C  = 1200 ( 4058 - C )
180C = 4869600 - 1200C
180C + 1200C = 4869600
1380C = 4869600
C = 3.528.96

PELA FORMULA
i = 3% a m   = 0.03  a m
t = 5 m
M = 4.058
M = C[ 1 + (it)]
4058 = C [ 1 + ( 0.03 * 5 )
4058 = C[ 1 + 0.15]
4058 = 1,15C
C = 3.528.69