Question

01. O capital de R$ 1.280,00 empregado durante 2 meses à taxa de 5% ao mês, rende juros compostos de a) R$ 248,00 b) R$ 180,00 c) R$ 60,00 d) R$ 287,00 e) R$ 128,00​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

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

$\mathsf{J = M - C}$

$\mathsf{J = 1.280 \times (1 + 0,05)^2 - 1.280}$

$\mathsf{J = 1.280 \times (1,05)^2 - 1.280}$

$\mathsf{J = 1.280 \times 1,1025 - 1.280}$

$\mathsf{J = 1.411,20 - 1.280}$

$\boxed{\boxed{\mathsf{J = R\ \:131,20}}}\leftarrow\textsf{juros compostos}$

$\mathsf{J = C \times i \times t}\rightarrow\begin{cases}\mathsf{J = juros}\\\mathsf{C = capital}\\\mathsf{i = taxa}\\\mathsf{t = tempo}\end$

$\mathsf{J = 1.280 \times 0,05 \times 2}$

$\boxed{\boxed{\mathsf{J = R\ \:128,00}}}\leftarrow\textsf{juros simples}$

Answer 2

Resposta:

R$ 131,20

Explicação passo-a-passo:

M=C.(1+i)ⁿ

M=1.280.(1+0,05)²

M=1280.(1,05)²

M=1.280x1,1025

M=1.411,20 (montante)

M-C=J

1.411,20-1280=131,20 (juros)