Question

05. Qual o capital deve ser aplicado a uma taxa de juros compostos de 5% ao mês, de
forma que o montante seja de R$ 10000,00 em 24 meses?

Answer 1

Resposta:

$\textsf{Respota abaixo}$

Explicação passo a passo:

$\mathsf{M=C(1+i)^t} \begin{cases}\mathsf{C \rightarrow Capital}\\\mathsf{i \rightarrow Taxa}\\\mathsf{t \rightarrow tempo}\end{cases}\\\\\textsf{Da quest\~ao: }\\\\\mathsf{C = \ ?}\\\\\mathsf{i = 5\% \ a.m}\\\\\mathsf{t=24 \ meses}\\\\\mathsf{M=10.000,00 \ Reais}\\\\\mathsf{10000 = C(1+0,05)^{24}}\\\\\mathsf{10000=C \cdot (1,05)^{24}}\\\\\mathsf{C = \dfrac{10000}{(1,05)^{24}} }\\\\\boxed{\boxed{\therefore \mathsf{C = 3.100,67 \ Reais}}} \leftarrow \textsf{Resposta}$

Answer 2

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{M = C \times (1 + i)^t}\rightarrow\begin{cases}\mathsf{M = montante}\\\mathsf{C = capital}\\\mathsf{i = taxa}\\\mathsf{t = tempo}\end$

$\mathsf{10.000 = C \times (1 + 0,05)^{24}}$

$\mathsf{10.000 = C \times (1,05)^{24}}$

$\mathsf{10.000 = C \times 3,22509994}$

$\mathsf{C = \dfrac{10.000}{3,22509994}}$

$\boxed{\boxed{\mathsf{C = R\ \:3.100,68}}}\leftarrow\textsf{capital}$