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What is the sales tax rate in a state where the tax on a purchase of [tex]$990 is $[/tex]69.30?

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GinnyAnswer
To determine the sales tax rate in a state where the tax on a purchase of [tex]$990 is $[/tex]569.301, follow these steps:

1. Identify the purchase amount: The total purchase amount is $990.

2. Identify the tax amount: The total tax amount applied to this purchase is $569.301.

3. Calculate the sales tax rate: The sales tax rate can be found by dividing the tax amount by the purchase amount and then multiplying the result by 100 to get a percentage.

[tex]\[ \text{Sales Tax Rate} = \left(\frac{\text{Tax Amount}}{\text{Purchase Amount}}\right) \times 100 \][/tex]

[tex]\[ \text{Sales Tax Rate} = \left(\frac{569.301}{990}\right) \times 100 \][/tex]

4. Result: After performing the division and multiplication, we find that the sales tax rate is approximately 57.5052%.

Therefore, the sales tax rate in this state is approximately 57.5052%.
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