✅ Após resolver os cálculos, concluímos que a taxa de inflação acumulada nos meses de junho, julho e agosto foi:
[tex]\Large\displaystyle\text{$\begin{gathered}\boxed{\boxed{\:\:\:\bf T_{A} \cong 3,43\,\%\:\:\:}}\end{gathered}$}[/tex]
Sejam as taxas de aumento:
[tex]\Large\begin{cases} t' = 2\,\% = 0,02\\t'' = 0,8\,\% = 0,008\\t'' = 0,6\,\% = 0,006\end{cases}[/tex]
Para calcular a taxa acumulada "Ta" de inflação nesses três meses, fazemos
[tex]\Large\displaystyle\text{$\begin{gathered} T_{A} = \left[(1 + t')\cdot(1 + t'')\cdot(1 + t''') - 1\right]\cdot100\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} = \left[(1 + 0,02)\cdot(1 + 0,008)\cdot(1 + 0,006) - 1\right]\cdot100\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} = \left[1,02\cdot1,008\cdot1,006 - 1\right]\cdot100\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} \cong \left[1,0343 - 1\right]\cdot 100\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} \cong 0,0343\cdot100\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} \cong 3,43\,\%\end{gathered}$}[/tex]
✅ Portanto, a taxa de cumulada foi:
[tex]\Large\displaystyle\text{$\begin{gathered} T_{A} \cong 3,43\,\%\end{gathered}$}[/tex]
[tex]\LARGE\displaystyle\text{$\begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Bons \:estudos!!\:\:\:Boa\: sorte!!\:\:\:}}}\end{gathered}$}[/tex]
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