Answer :
Let's go through the problem step-by-step to determine if Kito has been billed correctly.
### Step 1: Calculate Total Purchase Price Before Tax
Kito purchases:
- A guitar case for [tex]$39.99 - A tuner for $[/tex]24.99
- Picks for [tex]$26.99 Adding these together: \[ 39.99 + 24.99 + 26.99 = 91.97 \] ### Step 2: Calculate Tax The tax rate is \(6\%\). The tax amount is calculated by: \[ \text{Tax} = 91.97 \times 0.06 = 5.5182 \] ### Step 3: Calculate Total Purchase Price Including Tax Adding the tax to the total purchase price: \[ 91.97 + 5.5182 = 97.4882 \] ### Step 4: Determine Shipping Cost Based on the purchase categories: For a total purchase (before tax) of $[/tex]91.97, which is between [tex]$50 and $[/tex]100, the express shipping cost is:
[tex]\[ \$ 8.20 \][/tex]
### Step 5: Calculate Final Amount Charged
Adding the shipping cost to the total (after tax):
[tex]\[ 97.4882 + 8.20 = 105.6882 \][/tex]
### Step 6: Compare With Billed Amount
Kito's billed amount is [tex]$105.69. Rounding the calculated amount to two decimal places: \[ 105.6882 \approx 105.69 \] ### Conclusion Comparing the calculated amount ($[/tex]105.69) with the billed amount ($105.69), we see they are equal.
Therefore, the best answer is:
[tex]\[ \text{a. Kito has been billed correctly.} \][/tex]
### Step 1: Calculate Total Purchase Price Before Tax
Kito purchases:
- A guitar case for [tex]$39.99 - A tuner for $[/tex]24.99
- Picks for [tex]$26.99 Adding these together: \[ 39.99 + 24.99 + 26.99 = 91.97 \] ### Step 2: Calculate Tax The tax rate is \(6\%\). The tax amount is calculated by: \[ \text{Tax} = 91.97 \times 0.06 = 5.5182 \] ### Step 3: Calculate Total Purchase Price Including Tax Adding the tax to the total purchase price: \[ 91.97 + 5.5182 = 97.4882 \] ### Step 4: Determine Shipping Cost Based on the purchase categories: For a total purchase (before tax) of $[/tex]91.97, which is between [tex]$50 and $[/tex]100, the express shipping cost is:
[tex]\[ \$ 8.20 \][/tex]
### Step 5: Calculate Final Amount Charged
Adding the shipping cost to the total (after tax):
[tex]\[ 97.4882 + 8.20 = 105.6882 \][/tex]
### Step 6: Compare With Billed Amount
Kito's billed amount is [tex]$105.69. Rounding the calculated amount to two decimal places: \[ 105.6882 \approx 105.69 \] ### Conclusion Comparing the calculated amount ($[/tex]105.69) with the billed amount ($105.69), we see they are equal.
Therefore, the best answer is:
[tex]\[ \text{a. Kito has been billed correctly.} \][/tex]