Question

Give the amount that is discounted to a bill whose face value is €2,000 that matures in 60 days and to which you rent a discount of 8% annually and a 2% commission that the cash will deliver.

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Answer to a math question Give the amount that is discounted to a bill whose face value is €2,000 that matures in 60 days and to which you rent a discount of 8% annually and a 2% commission that the cash will deliver.

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Santino
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Para calcular la cantidad que se descuenta a una letra, primero necesitamos calcular el monto del descuento y la comisión.

**Paso 1**: Calcular el monto del descuento.
La fórmula para el descuento en una letra es:

Descuento = Nominal \times Tasa\_de\_interes \times \left( \dfrac{días}{360} \right)

Donde:
- Nominal = 2000 €
- Tasa de interés = 8% anual
- Días = 60 días

Sustituyendo los valores en la fórmula:

Descuento = 2000 \times 0.08 \times \left( \dfrac{60}{360} \right)

Descuento = 2000 \times 0.08 \times 0.1667

Descuento = 26.67

Por lo tanto, el descuento es de 26.67 €.

**Paso 2**: Calcular la comisión.
La comisión usualmente se calcula sobre el valor nominal de la letra.
La comisión es del 2% del nominal:

Comisión = Nominal \times 0.02 = 2000 \times 0.02 = 40

Por lo tanto, la comisión es de 40 €.

**Paso 3**: Calcular el efectivo que se entregará.
El efectivo que se entregará es el nominal menos el descuento y la comisión:

Efectivo = Nominal - Descuento - Comisión = 2000 - 26.67 - 40 = 1933.33

**Respuesta**: Se entregarán 1933.33 € en efectivo.

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