A Matemática das Finanças: Juros Simples e Compostos

Section role: supports the 'A Matemática das Finanças' section while the teacher explains formulas, definitions, and the growth difference between simple and compound interest. Slides: (1) Title — 'A Matemática das Finanças: Juros Simples e Compostos'; (2) Variáveis Chave — bullets: definitions of Capital (C), Taxa (i), Tempo (t) e Montante (M), conversion of percentages to decimals (e.g., 5% = 0.05); (3) Juros Simples — formula J = C * i * t, explanation that interest is calculated only on the initial capital, concrete example of R$ 1.000,00 at 10% per month for 3 months; (4) Juros Compostos — formula M = C * (1 + i)^t, explanation of 'interest on interest' and exponential growth; (5) Gráfico Comparativo — visual contrast between linear growth (simple interest reaching R$ 1.300,00) and exponential growth (compound interest reaching R$ 1.331,00); (6) O Fator Tempo — how the exponent 't' accelerates compound accumulation over long periods; (7) Alerta de Unidades — rule that 'i' and 't' must always be in the same time unit (both months or both years); (8) Aplicação Real — connecting compound interest to credit card debt and simple/compound mechanisms to savings accounts. Closing slide: 'Se eu dobrar o tempo no juro simples, o juro dobra? E no composto?' — sets up the active problem-solving section that follows.