Calculate the total cost of an item bought at a negotiated price of $15,640 and a $2,500 trade-in allowance. The sales tax is 7.2 percent sales tax with an $86 registration fee.

$13,140

$14,352.08

$1,212.08

$14,266.08

Question

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ApusApus ApusApus · Answer 1 · 2018-12-20T15:13:20+01:00

Answer:

B. $14352.08

Step-by-step explanation:

Let us find cost of item after 7.2% of sales tax. The cost of item after 7.2% of sales tax will be equal to 15640 plus 7.2% of 15640.

[tex]\text{The cost of item after sales tax}=15640+(\frac{7.2}{100}\times 15640)[/tex]

[tex]\text{The cost of item after sales tax}=15640+(0.072\times 15640)[/tex]

[tex]\text{The cost of item after sales tax}=15640+1126.08[/tex]

[tex]\text{The cost of item after sales tax}=16766.08[/tex]

Therefore the cost of item after 7.2% of sales tax will be $16766.08.

Now let us add registration fee to the cost of item.

[tex]\text{The cost of item after registration fee}=16766.08+86[/tex]

[tex]\text{The cost of item after registration fee}=16852.08[/tex]

Now let us subtract $2500 trade allowance to find the total cost of the item.

[tex]\text{The total cost of item}=16852.08-2500[/tex]

[tex]\text{The total cost of item}=14352.08[/tex]

Therefore, the total cost of item will be $14352.08 and option B is the correct choice.