Lance bought $$ n $$ notebooks that cost $$ \$ 0.75 $$ each and $$ p $$ pens that cost $$ \$ 0.55 $$ each. A $$ 6.25 \% $$ sales tax will be applied to the total cost. Which expression represents the total amount Lance paid, including tax? A $$ 0.0625(n+p)+0.0625(0.75 n+0.55 p) $$ B $$ (0.75 n+0.55 p)+0.0625(0.75 n+0.55 p) $$ C $$ 0.75(0.0625 n)+0.55(0.0625 n) $$ D $$ 0.75(1.0625 n)+0.55(1.0625 n) $$

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1. Calculamos el costo total sin impuestos:
   
   $$
   \text{Costo total} = 0.75n + 0.55p
   $$

2. Calculamos el impuesto aplicable, que es el $$6.25\%$$ del costo total:
   
   $$
   \text{Impuesto} = 0.0625(0.75n + 0.55p)
   $$

3. Sumamos el costo total y el impuesto para obtener el total a pagar:
   
   $$
   \text{Total a pagar} = (0.75n + 0.55p) + 0.0625(0.75n + 0.55p)
   $$

Esta expresión corresponde a la opción B.
La expresión que representa el total a pagar, incluyendo el impuesto, es $$ (0.75n + 0.55p) + 0.0625(0.75n + 0.55p) $$, lo que corresponde a la opción B.

Lance bought notebooks that cost each and pens that cost each. A
sales tax will be applied to the total cost. Which expression represents the total
amount Lance paid, including tax?
A
B
C
D

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Lance bought notebooks that cost each and pens that cost each. A sales tax will be applied to the total cost. Which expression represents the total amount Lance paid, including tax? A B C D