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Kito makes an online purchase of a guitar case for [tex]$\$[/tex] 39.99[tex]$, a tuner for $[/tex]\[tex]$ 24.99$[/tex], and picks for [tex]$\$[/tex] 26.99[tex]$. Taxes are $[/tex]6\%[tex]$ of the total purchase price. Shipping charges are based on the following table:

\begin{tabular}{|c|c|c|}
\hline
Amount of Purchase & Standard Shipping & Express Shipping \\
\hline
up to $[/tex]\[tex]$ 50$[/tex] & [tex]$\$[/tex] 5.10[tex]$ & $[/tex]\[tex]$ 7.00$[/tex] \\
\hline
[tex]$\$[/tex] 50[tex]$ up to $[/tex]\[tex]$ 100$[/tex] & [tex]$\$[/tex] 6.35[tex]$ & $[/tex]\[tex]$ 8.20$[/tex] \\
\hline
[tex]$\$[/tex] 100[tex]$ up to $[/tex]\[tex]$ 200$[/tex] & [tex]$\$[/tex] 7.80[tex]$ & $[/tex]\[tex]$ 11.60$[/tex] \\
\hline
[tex]$\$[/tex] 200[tex]$ and over & $[/tex]\[tex]$ 10.50$[/tex] & [tex]$\$[/tex] 16.45[tex]$ \\
\hline
\end{tabular}

Kito selects express shipping, and the company bills his credit card $[/tex]\[tex]$ 105.69$[/tex] for the total of the online purchase.

Determine if Kito has been billed correctly for his purchase.

A. Kito has been billed correctly.
B. Kito has not been charged enough for his purchase.
C. Kito has been overcharged by [tex]$\$[/tex] 1.85[tex]$ for his purchase.
D. Kito has been overcharged by $[/tex]\[tex]$ 3.40$[/tex] for his purchase.

Please select the best answer from the choices provided.

Sagot :

Let's solve this step-by-step, considering all the components of Kito's purchase.

### Step 1: Calculate the total purchase price
Kito buys three items:
- Guitar case: [tex]$39.99 - Tuner: $[/tex]24.99
- Picks: [tex]$26.99 We need to find the sum of these prices: \[ 39.99 + 24.99 + 26.99 = 91.97 \] ### Step 2: Calculate the amount of tax Taxes are $[/tex]6\%[tex]$ of the total purchase price. So we need to calculate $[/tex]6\%[tex]$ of $[/tex]91.97:
[tex]\[ 0.06 \times 91.97 = 5.5182 \][/tex]
Rounding to the nearest cent, this becomes:
[tex]\[ 5.52 \][/tex]

### Step 3: Calculate the total after including tax
We add the tax to the total purchase price:
[tex]\[ 91.97 + 5.52 = 97.49 \][/tex]

### Step 4: Determine the shipping cost
Kito selects express shipping. According to the provided table, for purchases between [tex]$50 and $[/tex]100, express shipping costs [tex]$8.20. Hence, the shipping cost is: \[ 8.20 \] ### Step 5: Calculate the total billed amount We add the shipping cost to the total after tax: \[ 97.49 + 8.20 = 105.69 \] The total billed to Kito's credit card is indeed $[/tex]105.69, which is calculated to be correct. Therefore, Kito has been billed correctly.

### Conclusion
The best answer is:
[tex]\[ \text{a. Kito has been billed correctly.} \][/tex]
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