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Elainej1
@Elainej1
November 2019
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Qual deve ser o empo para que quantia de R$ 30000 gere o montante de R$ 32781,81, quando aplicado à taxa de 3% ao mês, no sistema de juros compostos?
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victorpsp666
32781,81 =
30000 . (1 + 0,03)^t
32781,81/30000 = (1,03)^t
1,092727 = 1,03^t
Aplicando Log
㏒1,092727 = ㏒1,03^t
0.03851167411 = t .
0.0128372247
0.03851167411/ 0.0128372247 = t
3 = t
A taxa está em meses, então o tempo é...
3 meses
0 votes
Thanks 2
victorpsp666
㏒1,092727 = ㏒1,03^t
victorpsp666
t multiplica, temos:
victorpsp666
㏒1,092727 =t . ㏒1,03
victorpsp666
o valor de ㏒1,092727 (calculadora) = 0.03851167411
victorpsp666
o valor de ㏒1,03 (calculadora = ) 0.0128372247
victorpsp666
Chegando a 0.03851167411 = t . 0.0128372247
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Lista de comentários
32781,81 = 30000 . (1 + 0,03)^t
32781,81/30000 = (1,03)^t
1,092727 = 1,03^t
Aplicando Log
㏒1,092727 = ㏒1,03^t
0.03851167411 = t . 0.0128372247
0.03851167411/ 0.0128372247 = t
3 = t
A taxa está em meses, então o tempo é...
3 meses