Question

Como faço essa questão sem calculadora ?

Answer 1

Resposta:

35,31.10⁵, letra a)

Explicação passo-a-passo:

$M = C(1 + i)^n \\ \\ M = 10^5.(1 + 0,03)^{120} \\ \\ M = 10^5.(1,03)^{120} \\ \\ logM = log[10^5.(1,03)^{120}] \\  LogM = Log10^5 + Log1,03^{120} \\  LogM = 5.log10 + 120.log1,03 \\ logM = 5.1 + 120.0,013 \\ logM = 5 + 1,56 \\ M = 10^{5 + 1,56} <==> 10^5.10^{1,56} \\ M = 36,31.10^5 \\ \\ M = C + J \\ 36,31.10^5 = 10^5 + J \\ J = 36,31.10^5 - 1.10^5 \\ J = 35,31.10^5$