Vamos là.

os dados:

Capital C = 3000

taxa i = 4% = 0.04 am

tempo t = 4 meses

fomula

M = C*(1 + i)^t

Valor de M

M = 3000*1.04^4

sergio pagará

M = 3509.57568

O valor que Sérgio pagará pelo empréstimo é: M ≈ R$ 3.509,58 ✓

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• Juros Compostos

[tex]\sf\begin{cases}\underline{Dados:}\\C=R\$~3.000\\i=4\%=\frac{4}{100}=0{,}04~a.m.\\n=4~meses\\M=~?\end{cases}[/tex]

Onde,

M: montante

C: capital

n: número de meses

i: taxa de juros

• Calculando o montante M:

[tex]\Large\displaystyle\sf\boxed{\boxed{\mathsf{M=C\cdot(1+i)^n}}}\bigstar\\\\\sf~M=3.000\cdot(1+0{,}04)^4\\\\\sf~M=3.000\cdot(1{,}04)^4\\\\\sf~M=3.000\cdot1{,}16986\\\\\boxed{\sf~M\approx~R\$~3.509{,}58}~\checkmark[/tex]

✨ [tex]\Large\mathscr{\blue{Per:~Dan}}[/tex] ✨