Let's break down the problem step by step to determine if Kito has been billed correctly for his purchase.
1. Calculate the Total Purchase Price before Tax:
Kito buys:
- Guitar case: \[tex]$39.99
- Tuner: \$[/tex]24.99
- Picks: \[tex]$26.99
Total purchase price before tax:
\[
\text{Total purchase price} = \$[/tex]39.99 + \[tex]$24.99 + \$[/tex]26.99 = \[tex]$91.97
\]
2. Calculate the Tax Amount:
Tax rate is \(6\%\) of the total purchase price.
\[
\text{Tax amount} = 0.06 \times \$[/tex]91.97 = \[tex]$5.5182
\]
3. Calculate the Total Purchase Price including Tax:
\[
\text{Total price including tax} = \$[/tex]91.97 + \[tex]$5.5182 = \$[/tex]97.4882
\]
4. Determine the Shipping Cost:
Since Kito selects express shipping and his total purchase price including tax is \[tex]$97.4882:
- From the table, for express shipping in the range \$[/tex]50 up to \[tex]$100, the shipping cost is \$[/tex]8.20.
[tex]\[
\text{Shipping cost} = \$8.20
\][/tex]
5. Calculate the Final Total Amount:
[tex]\[
\text{Final total amount} = \$97.4882 + \$8.20 = \$105.6882
\][/tex]
Rounding appropriately, the final total amount is \[tex]$105.69.
6. Compare with the Billed Amount:
The billed amount by the company is \$[/tex]105.69.
- Since the final total amount calculated [tex]\( \$105.69 \)[/tex] matches the billed amount [tex]\( \$105.69 \)[/tex],
Kito has been billed correctly.
Therefore, the best answer is:
a. Kito has been billed correctly.
