the final cost of a furniture purchase was 1259.65. The local sales tax rate is 5.9%. what was the pre-tax price of the furniture 

To find the pre-tax price of the furniture, we can use the formula:

\[
\text{Final Cost} = \text{Pre-tax Price} + \text{Sales Tax}
\]

The sales tax is 5.9% of the pre-tax price, so:

\[
\text{Sales Tax} = 0.059 \times \text{Pre-tax Price}
\]

Thus, the final cost can be expressed as:

\[
1259.65 = \text{Pre-tax Price} + 0.059 \times \text{Pre-tax Price}
\]

This simplifies to:

\[
1259.65 = \text{Pre-tax Price} \times (1 + 0.059)
\]

\[
1259.65 = \text{Pre-tax Price} \times 1.059
\]

To find the pre-tax price:

\[
\text{Pre-tax Price} = \frac{1259.65}{1.059}
\]

Let me calculate that for you.The pre-tax price of the furniture is approximately $1189.47.

Would you like more details or have any questions?

Here are 5 related questions to expand on this:
1. How would the pre-tax price change if the tax rate were higher?
2. What would be the total cost if the pre-tax price was $1500 with the same tax rate?
3. How do you calculate sales tax if you know the pre-tax price?
4. What is the difference between simple interest and sales tax calculations?
5. How would you apply this concept if multiple items were purchased?

**Tip:** Always verify your sales tax calculations when budgeting for large purchases!

The final cost of a furniture purchase was 1259.65. The local sales tax rate is 5.9%. What was the pre-tax price of the furniture?

Learn how to calculate the pre-tax price of furniture when the final cost is $1259.65 and the local sales tax rate is 5.9%. This problem demonstrates key algebraic concepts and sales tax calculations. Ideal for students in Grades 9-12.

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