QQuestionMathematics
QuestionMathematics
Romeo paid $380.75 in car repairs. The sales tax rate is 7.5%. What is a reasonable estimate for the total Romeo paid to repair his car?
$404.83
$409.13
$416.60
$422.04
10 months agoReport content
Answer
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Step 1:: First, we need to find the amount of the car repair bill before sales tax was added.
&= \frac{$380.75}{1.075}\
To do this, we will divide the total amount paid by (1 + sales tax rate). &\approx $354.13 \end{align*}
Step 2:: Now that we have an estimate for the pre-tax amount, we can calculate the estimated sales tax by subtracting the pre-tax amount from the total amount paid.
&= $380.75 - $354.13\
\text{Estimated sales tax} &= \boxed{\text{Total amount paid} - \text{Pre-tax amount}}\ &\approx $26.62 \end{align*}
Step 3:: Finally, we can add the estimated pre-tax amount and the estimated sales tax to find a reasonable estimate for the total amount Romeo paid to repair his car.
&= $354.13 + $26.62\
\text{Total amount paid} &= \boxed{\text{Pre-tax amount} + \text{Estimated sales tax}}\ &\approx $409.13 \end{align*}
Final Answer
The reasonable estimate for the total amount Romeo paid to repair his car is $409.13.
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