Respuesta :

The total cost of a $2,099 couch including the 6.5% sales tax​ is $ 2235.435

Solution:

Given that,

cost of couch = $ 2099

Sales tax = 6.5%

Finding the total cost of couch with sales tax:

Total cost of couch = selling price of couch + sales tax on the selling price of couch

Plugging in values we get,

Total cost of couch = $ 2,099 + 6.5% sales tax on $ 2099

[tex]\text { Total cost of couch }=2099+\frac{6.5}{100} \times 2099[/tex]

Taking "2099" as common term, we get,

[tex]\text { Total cost of couch }=2099\left(1+\frac{6.5}{100}\right)[/tex]

On solving brackets,

[tex]\text { Total cost of couch }=2099 \times 1.065=2235.435[/tex]

Hence, the total cost of the couch is found as $ 2235.435