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anonymous

  • one year ago

Deepak bought a new car at the dealership for $25,000. It is estimated that the value of the car will decrease 9% each year. Which exponential function models the value v of the car after t years?

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  1. anonymous
    • one year ago
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    @Hero @JackJordan

  2. Hero
    • one year ago
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    Says "which" meaning, a list of answer choices are available to choose from.

  3. anonymous
    • one year ago
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    a) v=25,000(1.9)^t b) (same^^) (0.1)^t c) (same^^) (0.91)^t d) (same^^) (1.09)^t

  4. anonymous
    • one year ago
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    i know its either a or d because the 1 comes before the decimal, but i got confused because i don't remember if the 9 has a 0 infront or not

  5. Hero
    • one year ago
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    It's not proper to post answer choices in that manner.

  6. Hero
    • one year ago
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    How do you figure that it's either a or d?

  7. Hero
    • one year ago
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    Explain how you eliminated b or c.

  8. anonymous
    • one year ago
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    a) v=25,000(1.9)^t b) v=25,000(0.1)^t c) v=25,000(0.91)^t d) v=25,000(1.09)^t my b

  9. anonymous
    • one year ago
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    i remember that the 1 comes before the decimal

  10. Hero
    • one year ago
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    1 comes before the decimal for exponential INCREASE.

  11. anonymous
    • one year ago
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    oh. so when it's not increasing, the 1 comes after the decimal?

  12. anonymous
    • one year ago
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    ? @Hero

  13. Hero
    • one year ago
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    Basically, the only the only value of interest for the general formula \(v = 25000^{kt}\) is the k value. If there's an exponential increase, then \(k = 1 + r\) . If there's an exponential decrease, then \(k = 1 - r\) In this case \(r = 0.09\).

  14. anonymous
    • one year ago
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    so it's (0.91)^t

  15. anonymous
    • one year ago
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    @Hero

  16. anonymous
    • one year ago
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    @mathstudent55

  17. Hero
    • one year ago
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    The general formula is \(v = 25000k^t\) sorry.

  18. mathstudent55
    • one year ago
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    The formula for exponential growth or decay is: F = P(1 + r)^t where F = future amount P = present amount r = rate of growth or decay t = number of years If r is a rate of growth, r is positive. If r is a rate of decay, r is negative. You have a rate of decay, so r = -9% = -0.09 \(F = 25,000(1 - 0.9)^t\) \(F = 25,000(0.91)^t\)

  19. anonymous
    • one year ago
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    perfect! thank you!

  20. mathstudent55
    • one year ago
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    Yw

  21. Hero
    • one year ago
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    I wrote the k as an exponent. Sorry about that.

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