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An automobile company sold 2.3 million new cars in a year. If the average price per car was $21,000, how much money did the company make that year? Write your answer in scientific notation.

Answer :

To solve this problem, we need to determine how much money the automobile company made in a year from selling new cars. Here’s the step-by-step solution:

1. Understand the given values:
- The company sold 2.3 million new cars in a year.
- The average price of each car was [tex]$21,000.

2. Convert the number of cars sold into a numerical value:
- 2.3 million can be expressed as \( 2.3 \times 10^6 \).

3. Calculate the total revenue:
- To find out how much money the company made, multiply the number of cars sold by the price per car:
- Total money = (Number of cars sold) × (Price per car)
- Total money = \( 2.3 \times 10^6 \) cars × $[/tex]21,000/car

4. Calculate the total in standard form:
- This multiplication gives us the total revenue, which is [tex]$48,300,000,000.

5. Express the answer in scientific notation:
- To write this large number in scientific notation, we convert $[/tex]48,300,000,000 to [tex]\( 4.83 \times 10^{10} \)[/tex].

Therefore, the company made [tex]\( 4.83 \times 10^{10} \)[/tex] dollars that year in scientific notation.

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