What is the total cost of the board game, including sales tax? Show your work

Question

the cost of the board game is 10.25, with a sales tax of 5

Answer 1

To calculate the total cost of the board game including sales tax, follow these steps:

1. Determine the sales tax in decimal form:
   Since the sales tax is given as 5%, we convert this to a decimal by dividing by 100:
   \[ 5% = \frac{5}{100} = 0.05 \]

2. Calculate the sales tax amount:
   Multiply the cost of the board game by the sales tax rate:
   \[ \text{Sales tax} = \text{Cost of board game} \times \text{Sales tax rate} = 10.25 \times 0.05 \]
   \[ \text{Sales tax} = 0.5125 \]

3. Calculate the total cost:
   Add the sales tax to the original cost of the board game:
   \[ \text{Total cost} = \text{Cost of board game} + \text{Sales tax} \]
   \[ \text{Total cost} = 10.25 + 0.5125 = 10.7625 \]

4. Round to two decimal places:
   Typically, monetary values are rounded to two decimal places:
   \[ \text{Total cost} \approx 10.76 \]

So, the total cost of the board game, including sales tax, is $10.76.

Answer 2

i got 51.25/100 what do i do

Answer 3

It looks like you've calculated the sales tax amount as \(51.25/100\), which seems to be an incorrect interpretation of the tax amount for a 5% sales tax on the board game costing \(10.25\).

Let's clarify the calculations step-by-step:

1. Sales Tax Calculation:
   • The cost of the board game is \(10.25\).
   • The sales tax rate is \(5%\).

To find the sales tax amount, you multiply the cost of the board game by the sales tax rate:

• Convert the percentage to decimal: \(5% = \frac{5}{100} = 0.05\).

• Now multiply: \[ \text{Sales tax} = 10.25 \times 0.05 \]

Calculating this: \[ 10.25 \times 0.05 = 0.5125 \]

2. Adding the Sales Tax to the Original Cost: Now, you add the sales tax to the original cost to find the total cost: \[ \text{Total cost} = 10.25 + 0.5125 = 10.7625 \]

3. Rounding: Finally, you'll round the result to two decimal places for monetary values: \[ \text{Total cost} \approx 10.76 \]

Summary

The total cost of the board game, including sales tax, is $10.76.

If you were trying to say that you divided \(51.25\) by \(100\) to get \(0.5125\) for your sales tax, that's correct. You then proceed with the calculations as outlined above. If you have any further questions, feel free to ask!