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?

Question

anonymous · Answer

any more information provided?

anonymous · Answer

no

kainui · Answer

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

kainui · Answer

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!

anonymous · Answer

can you show it? i cant figure this one out

paxpolaris · Answer

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

paxpolaris · Answer

Using the formula above: ( i substituted $\large c=e^r$)
$$\large F(t)= A \cdot c^t$$$$\implies \large 1.5 \cancel A= \cancel A \cdot c^5$$$$\implies \Large c=\sqrt[5]{1.5}$$

paxpolaris · Answer

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

paxpolaris · Answer

62.67%