Question
Genesis went shopping for a new phone. To find the total plus tax, she multiplied the price of the phone by 1.0675. What percent tax did she pay?
Answers
GPT-4o mini
To find the percent tax that Genesis paid on the phone, we can analyze the multiplication she performed:
She multiplied the price of the phone by 1.0675. This can be expressed as:
\[
\text{Price of the phone} \times (1 + \text{Tax Rate}) = \text{Total with tax}
\]
Where \(1 + \text{Tax Rate}\) equals 1.0675.
To find the tax rate, we isolate the tax rate:
\[
1 + \text{Tax Rate} = 1.0675
\]
Subtracting 1 from both sides gives:
\[
\text{Tax Rate} = 1.0675 - 1 = 0.0675
\]
To convert this decimal into a percentage, we multiply by 100:
\[
\text{Tax Rate} = 0.0675 \times 100 = 6.75\%
\]
Thus, the percent tax that Genesis paid is \(\boxed{6.75\%}\).
She multiplied the price of the phone by 1.0675. This can be expressed as:
\[
\text{Price of the phone} \times (1 + \text{Tax Rate}) = \text{Total with tax}
\]
Where \(1 + \text{Tax Rate}\) equals 1.0675.
To find the tax rate, we isolate the tax rate:
\[
1 + \text{Tax Rate} = 1.0675
\]
Subtracting 1 from both sides gives:
\[
\text{Tax Rate} = 1.0675 - 1 = 0.0675
\]
To convert this decimal into a percentage, we multiply by 100:
\[
\text{Tax Rate} = 0.0675 \times 100 = 6.75\%
\]
Thus, the percent tax that Genesis paid is \(\boxed{6.75\%}\).