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A set of speakers costs $22 and songs cost $1.25 each. The sales tax rate is 7.5%. The expression 0.075(22 + 1.25s) can be used to determine the amount of sales tax due on the entire purchase. Expand the

Respuesta :

Answer: [tex]\$(23.65+1.343s)[/tex]

Step-by-step explanation:

Given

Speaker set to cost $22

Each song costs $1.25

Sales tax is 7.5%

Suppose, one purchase s no of songs

The cost of s songs is $1.25s

The combined cost of speakers and song is

[tex]C=22+1.25s[/tex]

At this cost, a 7.5% sales tax is applied to the given cost

[tex]\Rightarrow [22+1.25s]\times 0.075[/tex]

Total cost after sales tax is

[tex]\Rightarrow C_t=22+1.25s+[22+1.25s]0.075\\\\\Rightarrow C_t=[22+1.25s](1+0.075)=[22+1.25s]\times 1.075\\\\\Rightarrow C_t=\$(23.65+1.343s)[/tex]

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