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Louisa purchased a new snake for $199.00. Sales tax is 7.25%. What is her total bill? Round your answer to the nearest hundredth.(1 point)

Please give the right answer

11 answers

To calculate Louisa's total bill, you first need to compute the sales tax and then add it to the purchase price of the snake.

  1. Calculate the sales tax: \[ \text{Sales Tax} = \text{Purchase Price} \times \text{Sales Tax Rate} \] \[ \text{Sales Tax} = 199.00 \times 0.0725 = 14.3975 \]

  2. Round the sales tax to the nearest cent: \[ \text{Sales Tax} \approx 14.40 \]

  3. Calculate the total bill: \[ \text{Total Bill} = \text{Purchase Price} + \text{Sales Tax} \] \[ \text{Total Bill} = 199.00 + 14.40 = 213.40 \]

Therefore, Louisa's total bill is $213.40.

Jesse buys his coworkers lunch from the local steakhouse. The food costs $105.79, and the sales tax rate is 9%. Jesse wants to leave a 20% tip based on the pre-tax amount. How much will the total be, including tax and tip?(1 point)

To calculate the total amount Jesse will pay for lunch, including sales tax and tip, follow these steps:

  1. Calculate the sales tax: \[ \text{Sales Tax} = \text{Food Cost} \times \text{Sales Tax Rate} \] \[ \text{Sales Tax} = 105.79 \times 0.09 = 9.5171 \]

    Rounding the sales tax to the nearest cent: \[ \text{Sales Tax} \approx 9.52 \]

  2. Calculate the total cost after tax: \[ \text{Total Cost After Tax} = \text{Food Cost} + \text{Sales Tax} \] \[ \text{Total Cost After Tax} = 105.79 + 9.52 = 115.31 \]

  3. Calculate the tip based on the pre-tax amount: \[ \text{Tip} = \text{Food Cost} \times \text{Tip Rate} \] \[ \text{Tip} = 105.79 \times 0.20 = 21.158 \]

    Rounding the tip to the nearest cent: \[ \text{Tip} \approx 21.16 \]

  4. Calculate the total amount Jesse will pay: \[ \text{Total Amount} = \text{Total Cost After Tax} + \text{Tip} \] \[ \text{Total Amount} = 115.31 + 21.16 = 136.47 \]

Thus, the total amount Jesse will pay, including tax and tip, is $136.47.

Mark and Matthew signed up to walk in a 5K walk/run race. They predict it will take them 60 minutes to complete the race. Mark and Matthew finished the race in 53 minutes. What is the percent error? Round to the nearest tenth.(1 point)

To calculate the percent error, you can use the following formula:

\[ \text{Percent Error} = \left( \frac{\text{Estimated Value} - \text{Actual Value}}{\text{Estimated Value}} \right) \times 100 \]

  1. Identify the values:

    • Estimated Value (predicted time) = 60 minutes
    • Actual Value (finished time) = 53 minutes

  2. Calculate the error: \[ \text{Error} = \text{Estimated Value} - \text{Actual Value} = 60 - 53 = 7 \text{ minutes} \]

  3. Calculate the percent error: \[ \text{Percent Error} = \left( \frac{7}{60} \right) \times 100 \approx 11.6667 \]

  4. Round to the nearest tenth: \[ \text{Percent Error} \approx 11.7% \]

Therefore, the percent error is 11.7%.

Use the conversion ratio 1 liter equals 1,000 milliliters. A cylinder holds 6,750 milliliters. How many liters does it hold?(1 point)

To convert milliliters to liters using the conversion ratio \(1 , \text{liter} = 1,000 , \text{milliliters}\), you can use the following formula:

\[ \text{Liters} = \frac{\text{Milliliters}}{1,000} \]

Given that the cylinder holds \(6,750 , \text{milliliters}\), the calculation will be:

\[ \text{Liters} = \frac{6,750}{1,000} = 6.75 \]

Therefore, the cylinder holds 6.75 liters.

Use the ratio 1 gallon equals about 3,785 milliliters. A container holds 34,065 milliliters. How many gallons does the container hold?(1 point)

To convert milliliters to gallons using the conversion ratio \(1 , \text{gallon} \approx 3,785 , \text{milliliters}\), you can use the following formula:

\[ \text{Gallons} = \frac{\text{Milliliters}}{3,785} \]

Given that the container holds \(34,065 , \text{milliliters}\), the calculation will be:

\[ \text{Gallons} = \frac{34,065}{3,785} \approx 9.0 \]

Therefore, the container holds approximately 9.0 gallons.

Use the conversion ratio 1 kilometer equals about 0.62 miles to solve the following problem. An airplane travels about 900 kilometers per hour. What is the airplane’s speed in miles per hour?(1 point)

To convert the speed from kilometers per hour to miles per hour using the conversion ratio \(1 , \text{kilometer} \approx 0.62 , \text{miles}\), you can use the following formula:

\[ \text{Miles per hour} = \text{Kilometers per hour} \times 0.62 \]

Given that the airplane travels at a speed of \(900 , \text{kilometers per hour}\), the calculation will be:

\[ \text{Miles per hour} = 900 \times 0.62 \] \[ \text{Miles per hour} = 558 \]

Therefore, the airplane's speed is approximately 558 miles per hour.