Question

A taxa de juros dimples do capital de $24.000,00 rende $1.080,00em 6 meses?

Answer 1

Legenda:

๏ J: Juros
๏ C: Capital inicial
๏ i: Taxa de juros
๏ t: Tempo de aplicação

= = = = =
Dados:

๏ C: R$ 24.000,00
๏ J: R$ 1.080,00 
๏ t: 6 meses

= = = = =

Considerando capitalização a juros simples:

$\mathsf{J=C\cdot i\cdot t}\\\\\mathsf{1.080=24.000\cdot \dfrac{i}{100}\cdot 6}\\\\\mathsf{1.080=240\cdot i\cdot 6}\\\\\mathsf{108=24\cdot i\cdot 6}\\\\\mathsf{i=\dfrac{108}{24\cdot 6}}\\\\\\\mathsf{i=\dfrac{18}{24}}\\\\\\\mathsf{i=\dfrac{3}{4}}\\\\\\\boxed{\mathsf{i=0,75\:\%\:a.m}}\: \: \checkmark$

Answer 2

Dados:

C = capital = 24.000

J = juros = 1.080

t = tempo = 6 meses

i = taxa

Juros Simples:

J = C×i×t/100

100J = C×i×t

100(1.080) = 24.000×i×6

i = [100(1.080)]/24.000×6

i = 0,75

A taxa anual é de 0,75% ao mês.

Bons estudos!