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me123456789 Group Title

if the sales of a company increased exponentially by 50% from 1985 to 1990, by what percent will the sales increase from 1990 to 1996?

  • 2 years ago
  • 2 years ago

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  1. mubzz Group Title
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    any more information provided?

    • 2 years ago
  2. me123456789 Group Title
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    no

    • 2 years ago
  3. Kainui Group Title
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    Another business came around in 1993 and wiped out their profits so they went bankrupt and had no sales increase.

    • 2 years ago
  4. Kainui Group Title
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    So let's consider the exponential equation. What does it look like? \[F(t)=Ae^{rt}\] So that tells us that A is our initial amount and F(t) is our final amount. Since we don't know the amounts but we do know the percents, you can divide out A to get a fraction, which translates to your percentage!

    • 2 years ago
  5. me123456789 Group Title
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    can you show it? i cant figure this one out

    • 2 years ago
  6. PaxPolaris Group Title
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    assuming they continue the same trend... you can PREDICT how much the sales will increase It increases by 1.5 times ... every 5 years .... IF you have a general formula for exponential function... you can plug these values in

    • 2 years ago
  7. PaxPolaris Group Title
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    Using the formula above: ( i substituted \(\large c=e^r\)) \[\large F(t)= A \cdot c^t\]\[\implies \large 1.5 \cancel A= \cancel A \cdot c^5\]\[\implies \Large c=\sqrt[5]{1.5}\]

    • 2 years ago
  8. PaxPolaris Group Title
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    So in 6 years ... it should increase by c^6 times : \[\Large = \left( \sqrt[5]{1.5} \right)^6=1.5^\left( 6/5 \right)\]

    • 2 years ago
  9. PaxPolaris Group Title
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    62.67%

    • 2 years ago
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