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anonymous

  • 5 years ago

The equation, y = 10(1.0605)x, represents the winning prize money, in thousands, for first place in the Indianapolis 500 auto race. x represents the number of years after 1911, the first year. What is the value for 1911 (x = 0)? This is the prize money, in thousands. For instance, if you got 23, this represents $23,000. A. $10,605 B. $10,000 C. $0 Wouldnt the correct answer be A?

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  1. anonymous
    • 5 years ago
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    I have to assume that you mean \[y = 10(1.0605)^x\]

  2. anonymous
    • 5 years ago
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    Yes sorry about that.

  3. anonymous
    • 5 years ago
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    If that is correct then let me ask you.. What is \(5^1\)

  4. anonymous
    • 5 years ago
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    5

  5. anonymous
    • 5 years ago
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    What is \(5^0\)

  6. anonymous
    • 5 years ago
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    Ohhhhh then it would be nothing

  7. anonymous
    • 5 years ago
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    No

  8. anonymous
    • 5 years ago
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    What is \(5^2\)

  9. anonymous
    • 5 years ago
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    25

  10. anonymous
    • 5 years ago
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    and \(5^3\)

  11. anonymous
    • 5 years ago
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    125

  12. anonymous
    • 5 years ago
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    Ok, so lets look at it going backward: \[5^3 = 125\] \[5^2 = 25 = \frac{125}{5}\] \[5^1 = 5 = \frac{25}{5}\] \[5^0 =\ ? = \frac{5}{5}\]

  13. anonymous
    • 5 years ago
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    So what is \(5^0\)

  14. anonymous
    • 5 years ago
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    Then it would be... i think 1?

  15. anonymous
    • 5 years ago
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    Right

  16. anonymous
    • 5 years ago
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    nicely done!

  17. anonymous
    • 5 years ago
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    And this is the case for any number: \[b^0 = \frac{b}{b} = 1, \forall b \ne 0\]

  18. anonymous
    • 5 years ago
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    Ohhh.... Yea makes much more sense. I am so thankful for this cite!!!! My dad doesnt remember much from high school. :P So he often tells me things that are wrong... Thanks sooooo much! (:

  19. anonymous
    • 5 years ago
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    So if that's the case let's go back to your original problem

  20. anonymous
    • 5 years ago
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    What is \(10(1.0605)^0\)

  21. anonymous
    • 5 years ago
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    Alright. so then it would be 10,00

  22. anonymous
    • 5 years ago
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    Correct? (:

  23. anonymous
    • 5 years ago
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    Exactly.

  24. anonymous
    • 5 years ago
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    Nice work.

  25. anonymous
    • 5 years ago
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    Haha! Nope the credit goes to you (: Thanks a bunch!

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