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Alexa went shopping for a new camera. Sales tax where she lives is 
5.75%. What number should she multiply the price of the camera by to find the total plus tax in one step?
Answer:

Alexa went shopping for a new camera. Sales tax where she lives is 5.75% 5.75 \% . What number should she multiply the price of the camera by to find the total plus tax in one step?\newlineAnswer:

Full solution

Q. Alexa went shopping for a new camera. Sales tax where she lives is 5.75% 5.75 \% . What number should she multiply the price of the camera by to find the total plus tax in one step?\newlineAnswer:
  1. Multiply price by factor: To find the total cost including tax in one step, Alexa needs to multiply the price of the camera by a factor that includes both the original price and the sales tax. The sales tax is 5.75%5.75\%, which means that for every dollar, an additional $0.0575\$0.0575 is charged as tax.
  2. Add original price and tax: To include the original price and the tax, we add 11 (representing 100%100\% of the original price) to the tax rate expressed as a decimal. The tax rate as a decimal is 5.75%5.75\% or 0.05750.0575.
  3. Calculate multiplication factor: Adding the original price and the tax rate together gives us the number Alexa should multiply the price by.\newline11 (original price) + 0.05750.0575 (tax rate) = 1.05751.0575
  4. Find total cost with tax: Therefore, Alexa should multiply the price of the camera by 1.05751.0575 to find the total cost including tax in one step.

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