Answer:
C. $18673.25
Step-by-step explanation:
Let us find cost of item after 7.7% of sales tax. The price after 7.7% of sales tax will be 17250 plus 7.7% of 17250.
[tex]\text{The cost of item after sales tax}=17250+(\frac{7.7}{100}\times 17250)[/tex]
[tex]\text{The cost of item after sales tax}=17250+(0.077\times 17250)[/tex]
[tex]\text{The cost of item after sales tax}=17250+1328.25[/tex]
[tex]\text{The cost of item after sales tax}=18578.25[/tex]
Therefore, the cost of item after 7.7% of sales tax will be $18578.25.
To find the total cost of item let us add registration fee ($95) to $18578.25
[tex]\text{The total cost of item}=18578.25+95[/tex]
[tex]\text{The total cost of item}=18673.25[/tex]
Therefore, the total cost of item is $18673.25 and option C is the correct choice.