Question

Calcule montante produzido por um capital 30.000,00 em 3 meses, a taxa de juros composto de 4%a.m

Answer 1

$> resolucao \\ \\ \geqslant juros \: compostos \\ \\ c = 30.000.00 \\ i = 4\%a.m \\ t = 3 \: meses \\ \\ m = c(1 + i) {}^{t} \\ m = 30000(1 + 0.04) {}^{3} \\ m = 30000(1.04) {}^{3} \\ m = 30000 \times 1.124864 \\ m = 33745.92 \\ \\ resposta \: > \: 33.745.92 \\ \\ > < > < > < > < > < > < > < > >$

Answer 2

Fórmula para o cálculo de juros compostos

$\huge\boxed{\boxed{\boxed{\boxed{\sf{M=C\cdot(1+i)^t}}}}}$

, onde:

$\Large\boxed{\begin{array}{l}\sf M\longrightarrow montante\\\sf C\longrightarrow capital\\\sf i\longrightarrow taxa\\\sf t\longrightarrow tempo\end{array}}$

Dados:

$\Large\boxed{\begin{array}{l} \begin{cases}\sf M\longrightarrow ?\\\sf C\longrightarrow 30.000\\\sf i\longrightarrow4\%a.m\\\sf t\longrightarrow 3\, meses\end{cases}\end{array}}$

Solução:

$\Large\boxed{\begin{array}{l}\sf M=C\cdot(1+i)^t\\\sf M=30.000\cdot(1+0{,}04)^3 \\\sf M=30.000\cdot(1{,}04)^3\\\sf M=30.000\cdot1{,}124864\\\sf M=33.745{,}92\\\sf O\, montante\, produzido\,ao\, final\,de\\\sf 3\, meses\,ser\acute a\,de\, R\ \,33.745{,}92\cdot\end{array}}$