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Sagot :
Certainly! Let's break down the problem step by step.
1. Understanding the given information:
- The restaurant bill is \[tex]$46.32. - The tax rate is \(7 \frac{1}{2} \%\) which can be represented as \(7.5\%\). - The tip rate is \(20\%\). 2. Calculating the tax amount: \[ \text{Tax amount} = \text{Bill amount} \times \text{Tax rate} \] So, the tax amount is: \[ 46.32 \times \frac{7.5}{100} = 46.32 \times 0.075 = 3.474 \] 3. Calculating the tip amount: \[ \text{Tip amount} = \text{Bill amount} \times \text{Tip rate} \] So, the tip amount is: \[ 46.32 \times \frac{20}{100} = 46.32 \times 0.20 = 9.264 \] 4. Calculating the total amount: \[ \text{Total amount} = \text{Bill amount} + \text{Tax amount} + \text{Tip amount} \] So, the total amount is: \[ 46.32 + 3.474 + 9.264 = 59.058 \] Now we need to find the correct answer from the given options closest to the calculated total amount: - a. \$[/tex]59.75
- b. \[tex]$59.05 - c. \$[/tex]58.92
- d. \[tex]$58.87 By comparing, the closest amount to \$[/tex]59.058 is:
[tex]\[ \boxed{59.05} \][/tex]
1. Understanding the given information:
- The restaurant bill is \[tex]$46.32. - The tax rate is \(7 \frac{1}{2} \%\) which can be represented as \(7.5\%\). - The tip rate is \(20\%\). 2. Calculating the tax amount: \[ \text{Tax amount} = \text{Bill amount} \times \text{Tax rate} \] So, the tax amount is: \[ 46.32 \times \frac{7.5}{100} = 46.32 \times 0.075 = 3.474 \] 3. Calculating the tip amount: \[ \text{Tip amount} = \text{Bill amount} \times \text{Tip rate} \] So, the tip amount is: \[ 46.32 \times \frac{20}{100} = 46.32 \times 0.20 = 9.264 \] 4. Calculating the total amount: \[ \text{Total amount} = \text{Bill amount} + \text{Tax amount} + \text{Tip amount} \] So, the total amount is: \[ 46.32 + 3.474 + 9.264 = 59.058 \] Now we need to find the correct answer from the given options closest to the calculated total amount: - a. \$[/tex]59.75
- b. \[tex]$59.05 - c. \$[/tex]58.92
- d. \[tex]$58.87 By comparing, the closest amount to \$[/tex]59.058 is:
[tex]\[ \boxed{59.05} \][/tex]
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