Question

Durante quantos meses um capital de R$ 4.000,00 aplicado no regime de juros compostos, com taxa de juros anual de 10%, gera um montante de R$ 5.324,00?​

Answer 1

Resposta:

Explicação passo a passo:

C = R$ 4.000,00

i = 10% aa

M = R$ 5.324,00

t = ?

$M=C(1+i)^t\\\\5324 = 4000(1+0,1)^t\\\\5324 = 4000(1,1)^t\\\\\frac{5324}{4000} =1,1^t\\\\1,1^t = 1,331\\\\log1,1^t = log1,331\\\\t.log1,1 = log1,331\\\\t * 0,04=0,12\\\\t = \frac{0,12}{0,04} \\\\t = 3\:\:anos$