Question

qual deve ser o capital que,no sistema de juros compostos a taxa de 6% ao mês,gera um montante de R$22.266,90 ao final de 1 ano?​

Answer 1

C = ?   i = 6% am : 100 = 0,06     t = 1 a = 12meses     M = 22.266.90Resposta:

C = 11.065,96

Explicação passo-a-passo:

C = ?   i = 6% am : 100 = 0,06     t = 1 a = 12meses     M = 22.266.90

M = C(1+i)^{t} = > 22.266,90 = C( 1 + 0,06)^{12} = > 22.266,90 = C( 1,06)^{12} = > 22.266,90 = C( 2,012196472)^{} = > C = \frac{22.266,90}{ 2,012196472} = > C = 11.065,96M=C(1+i)t=>22.266,90=C(1+0,06)12=>22.266,90=C(1,06)12=>22.266,90=C(2,012196472)=>C=2,01219647222.266,90=>C=11.065,96

M = C(1+i)^{t} = > 22.266,90 = C( 1 + 0,06)^{12} = > 22.266,90 = C( 1,06)^{12} = > 22.266,90 = C( 2,012196472)^{} = > C = \frac{22.266,90}{ 2,012196472} = > C = 11.065,96M=C(1+i)t=>22.266,90=C(1+0,06)12=>22.266,90=C(1,06)12=>22.266,90=C(2,012196472)=>C=2,01219647222.266,90=>C=11.065,96