Question

Maria aplicou R$ 3.500,00 a uma taxa de juro composto de 5% a.m. durante 4 meses. Qual o montante obtido ao final dessa aplicação? 00/ o de​

Answer 1

$resolucao \\ \\ \\ m = c(1 + i) {}^{t} \\ m = 3500(1 + 0.05) {}^{4} \\ m = 3500(1.05) {}^{4} \\ m = 3500 \times 1.2155 \\ m = 4.254.25$

resposta: 4.254,25

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Answer 2

$\sf~O~valor~do~montante~(M)\Rightarrow\boxed{\boxed{M\approx~R\ ~4.254,28}}~\bold\dag$

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• JUROS COMPOSTOS.

• RESOLUÇÃO:

$\sf\begin{cases}\sf\underline{Dados:}\\\\\sf~C=R\ ~3.500,00\\\\\sf~i=5\%~a.m.\Rightarrow5\%=\frac{5}{100}=\boxed{0,05}~\checkmark\\\\\sf~n=4~meses\\\\\sf~M=?\end{cases}\\\\\\\boxed{\boxed{\mathsf{M=C\cdot(1+i)^n}}}\bigstar\\\\M=3.500\cdot(1+0,05)^4\\\\M=3.500\cdot(1,05)^4\\\\M=3.500\cdot1,21551\\\\\boxed{M\approx4.254,28}~\checkmark$