Question

Um capital de 2.000,00 rendem em 3 anos juros simples de 2.160,00.Qual foi a taxa anual de juros da aplicacao? e a taxa mensal?

Answer 1

Boa noite!

Solução!

Vamos organizar os dados do problema.

$Capital=R\ =2.000,00\\\\\\\\ Tempo=3~~anos\\\\\\ i\%=?\\\\\\ juros=2.160,00$

Vamos substituir os dados nessa formula.

$J= \dfrac{C.i.t}{100}\\\\\\ 2.160,00= \dfrac{2.000,00.i.3}{100} \\\\\\\ 2.160,00= \dfrac{2.000.i.3}{1} \\\\\\\ 2.160,00=6000i\\\\\\\ i= \dfrac{2.16000,00}{6.000,00}\\\\\\\\ i= \dfrac{216}{6}\\\\\\ i=36\%$

Taxa mensal.

$1~~ano=12meses.\\\\\\ Taxa~~mensal= \dfrac{36}{12} \\\\\\ Taxa~~mensal=3\%a.m$

Boa noite!
Bons estudos

Answer 2

Resposta:  36%a.a. e 3%a.m.

Explicação passo a passo:

Juros simples

i=j*100/C/t

i=2160*100/2000/3

i=216000/2000/3

i=108/3

i=36 (anual)

i=36/12

i=3 (mensal)