Question

Determinado capital gerou, após 24 meses, um montante de R$ 15.000, 00. Sabendo que a taxa de juros é de 2% ao mês, determine o valor desse capital (1,02)= 1, 60

Answer 1

$P_f=P_i(1+x\%)^t\\\\\\P_f=15000\\x=2\\t=24\\\\\\15000=P_i(1+2\%)^{24}\\\\15000=P_i(1.02)^{24}\\\\P_i=\dfrac{15000}{(1.02)^{24}}\\\\P_i=9325.82$