Gaming Systems Are On Sale For ${ 20\%\$} Off The Original Price ( { G$}$), Which Can Be Expressed With The Function { P(g) = 0.8g$}$. Local Taxes Are An Additional ${ 12\%\$} Of The Discounted Price

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Gaming Systems on Sale: A Mathematical Analysis of Discounts and Taxes

In the world of gaming, sales and discounts can be a thrilling experience for enthusiasts and collectors alike. However, understanding the math behind these discounts can be a daunting task. In this article, we will delve into the world of mathematics and explore the concept of discounts and taxes on gaming systems. We will examine the given function, p(g)=0.8g{p(g) = 0.8g}, which represents the discounted price of a gaming system, and calculate the additional tax on the discounted price.

Understanding the Discount Function

The given function, p(g)=0.8g{p(g) = 0.8g}, represents the discounted price of a gaming system. Here, g{g} is the original price of the gaming system, and p(g){p(g)} is the discounted price. The coefficient 0.8{0.8} represents the discount rate, which is 20%{20\%} off the original price. To understand this function, let's consider an example.

Example: Discounted Price of a Gaming System

Suppose the original price of a gaming system is $100{\$100}. Using the function p(g)=0.8g{p(g) = 0.8g}, we can calculate the discounted price as follows:

p(100)=0.8×100=80{p(100) = 0.8 \times 100 = 80}

Therefore, the discounted price of the gaming system is $80{\$80}.

Calculating Local Taxes

Local taxes are an additional 12%{12\%} of the discounted price. To calculate the tax amount, we need to find 12%{12\%} of the discounted price. Let's use the example from the previous section to illustrate this.

Example: Calculating Local Taxes

Suppose the discounted price of the gaming system is $80{\$80}. To calculate the local tax, we need to find 12%{12\%} of $80{\$80}. We can calculate this as follows:

Tax=0.12×80=9.6{Tax = 0.12 \times 80 = 9.6}

Therefore, the local tax on the discounted price is $9.60{\$9.60}.

Total Price: Discounted Price + Local Tax

To find the total price, we need to add the discounted price and the local tax. Let's use the example from the previous section to illustrate this.

Example: Total Price

Suppose the discounted price of the gaming system is $80{\$80}, and the local tax is $9.60{\$9.60}. To find the total price, we can add the discounted price and the local tax as follows:

Total Price=Discounted Price+Local Tax{Total\ Price = Discounted\ Price + Local\ Tax} Total Price=80+9.6=89.6{Total\ Price = 80 + 9.6 = 89.6}

Therefore, the total price of the gaming system, including the discount and local tax, is $89.60{\$89.60}.

In this article, we explored the concept of discounts and taxes on gaming systems. We examined the given function, p(g)=0.8g{p(g) = 0.8g}, which represents the discounted price of a gaming system, and calculated the additional tax on the discounted price. We used examples to illustrate the calculation of the discounted price and local tax, and finally, we found the total price by adding the discounted price and local tax. This article demonstrates the importance of understanding the math behind discounts and taxes in the world of gaming.

  • p(g)=0.8g{p(g) = 0.8g}: Discounted price function
  • Tax=0.12×p(g){Tax = 0.12 \times p(g)}: Local tax formula
  • Total Price=p(g)+Tax{Total\ Price = p(g) + Tax}: Total price formula
  • Discount: A reduction in the original price of a product.
  • Tax: A fee imposed by the government on goods and services.
  • Discounted Price: The price of a product after applying a discount.
  • Local Tax: A tax imposed by the local government on goods and services.

In our previous article, we explored the concept of discounts and taxes on gaming systems. We examined the given function, p(g)=0.8g{p(g) = 0.8g}, which represents the discounted price of a gaming system, and calculated the additional tax on the discounted price. In this article, we will answer some frequently asked questions related to discounts and taxes on gaming systems.

Q: What is the formula for calculating the discounted price of a gaming system?

A: The formula for calculating the discounted price of a gaming system is p(g)=0.8g{p(g) = 0.8g}, where g{g} is the original price of the gaming system.

Q: How do I calculate the local tax on the discounted price?

A: To calculate the local tax on the discounted price, you need to find 12%{12\%} of the discounted price. The formula for calculating the local tax is Tax=0.12×p(g){Tax = 0.12 \times p(g)}.

Q: What is the total price of a gaming system, including the discount and local tax?

A: The total price of a gaming system, including the discount and local tax, is calculated by adding the discounted price and the local tax. The formula for calculating the total price is Total Price=p(g)+Tax{Total\ Price = p(g) + Tax}.

Q: How do I calculate the total price of a gaming system if the original price is $100{\$100}?

A: To calculate the total price of a gaming system if the original price is $100{\$100}, you need to follow these steps:

  1. Calculate the discounted price using the formula p(g)=0.8g{p(g) = 0.8g}.
  2. Calculate the local tax using the formula Tax=0.12×p(g){Tax = 0.12 \times p(g)}.
  3. Add the discounted price and the local tax to find the total price.

Using the example from the previous article, we can calculate the total price as follows:

p(100)=0.8×100=80{p(100) = 0.8 \times 100 = 80} Tax=0.12×80=9.6{Tax = 0.12 \times 80 = 9.6} Total Price=80+9.6=89.6{Total\ Price = 80 + 9.6 = 89.6}

Therefore, the total price of the gaming system, including the discount and local tax, is $89.60{\$89.60}.

Q: What is the difference between a discount and a tax?

A: A discount is a reduction in the original price of a product, while a tax is a fee imposed by the government on goods and services. In the context of gaming systems, a discount is applied to the original price of the product, while a tax is applied to the discounted price.

Q: Can I apply multiple discounts to a gaming system?

A: Yes, you can apply multiple discounts to a gaming system. However, the discounts must be applied in a specific order. For example, if you have a 20%{20\%} discount and a 10%{10\%} discount, you need to apply the 20%{20\%} discount first and then the 10%{10\%} discount.

Q: How do I calculate the total price of a gaming system if I have multiple discounts and taxes?

A: To calculate the total price of a gaming system if you have multiple discounts and taxes, you need to follow these steps:

  1. Apply each discount to the original price of the gaming system in the correct order.
  2. Calculate the local tax on the discounted price.
  3. Add the discounted price and the local tax to find the total price.

Using the example from the previous article, we can calculate the total price as follows:

p(100)=0.8×100=80{p(100) = 0.8 \times 100 = 80} p(80)=0.9×80=72{p(80) = 0.9 \times 80 = 72} Tax=0.12×72=8.64{Tax = 0.12 \times 72 = 8.64} Total Price=72+8.64=80.64{Total\ Price = 72 + 8.64 = 80.64}

Therefore, the total price of the gaming system, including the discounts and local tax, is $80.64{\$80.64}.

In this article, we answered some frequently asked questions related to discounts and taxes on gaming systems. We provided formulas and examples to help you understand the concept of discounts and taxes and how to calculate the total price of a gaming system. We hope this article has been helpful in answering your questions and providing you with a better understanding of the math behind discounts and taxes.

  • p(g)=0.8g{p(g) = 0.8g}: Discounted price function
  • Tax=0.12×p(g){Tax = 0.12 \times p(g)}: Local tax formula
  • Total Price=p(g)+Tax{Total\ Price = p(g) + Tax}: Total price formula
  • Discount: A reduction in the original price of a product.
  • Tax: A fee imposed by the government on goods and services.
  • Discounted Price: The price of a product after applying a discount.
  • Local Tax: A tax imposed by the local government on goods and services.