## me123456789 2 years ago 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?

1. mubzz

2. me123456789

no

3. Kainui

Another business came around in 1993 and wiped out their profits so they went bankrupt and had no sales increase.

4. Kainui

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!

5. me123456789

can you show it? i cant figure this one out

6. PaxPolaris

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

7. PaxPolaris

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}$

8. PaxPolaris

So in 6 years ... it should increase by c^6 times : $\Large = \left( \sqrt[5]{1.5} \right)^6=1.5^\left( 6/5 \right)$

9. PaxPolaris

62.67%