Resposta:
[tex]\textsf{Leia abaixo}[/tex]
Explicação passo-a-passo:
[tex]\mathsf{M = C \times (1 + i)^t}\rightarrow\begin{cases}\mathsf{M = montante}\\\mathsf{C = capital}\\\mathsf{i = taxa}\\\mathsf{t = tempo}\end[/tex]
[tex]\mathsf{M = 6.000 \times (1 + 0,15)^2}[/tex]
[tex]\mathsf{M = 6.000 \times (1,15)^2}[/tex]
[tex]\mathsf{M = 6.000 \times 1,3225}[/tex]
[tex]\boxed{\mathsf{M = 7.935,00}}\rightarrow\textsf{valor devido ap{\'o}s 2 meses}[/tex]
[tex]\mathsf{M = 7.935 - 3.000 \times (1 + 0,15)^1}[/tex]
[tex]\mathsf{M = 4.935 \times 1,15}[/tex]
[tex]\boxed{\boxed{\mathsf{M = R\$\:5.675,25}}}\leftarrow\textsf{{\'u}ltima presta{\c c}{\~a}o}[/tex]
