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QuestionMathematics

Romeo paid $380.75 in car repairs. The sales tax rate is 7.5%. Which of the following is a reasonable estimate for the total amount Romeo paid to repair his car?
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Answer

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Step 1:
Let's solve this step by step:

Step 2:
: Identify the base amount

The base repair cost is $$380.75

Step 3:
: Calculate the sales tax

The sales tax rate is $$7.5\%$$, which means we need to multiply the base amount by $$0.075
380.75 \times 0.075 = 28.56

Step 4:
: Add the sales tax to the base amount

380.75 + 28.56 = 409.31

Step 5:
: Round to a reasonable estimate

Looking at the options, the total of $$410$$ is a very close and reasonable estimate for the total amount paid.

Step 6:
: Verify the calculation

- Rounded estimate: $$410
- Sales tax: 28.56

Final Answer

410 is a reasonable estimate for the total amount Romeo paid to repair his car, including sales tax.