Given an exponential function for compounding interest, A(x) = P(.77)x, what is the rate of change?

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Given an exponential function for compounding interest, A(x) = P(.77)x, what is the rate of change?

Mathematics
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To find rate we subtract the rate in this case is .77 or 77% - 1 or 100% and that would give you the rate in this case its decreasing by an 18%
I thought rate of change was derivative...

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I dont know:(
rate of change is derivative
What did you get as an answer?
I think he thought you were looking for the interest rate
\[A=P(.77)^x \\ \frac{A}{P}=(.77)^x \] P is a constant take ln( ) of both sides
this will allow you to bring down that power of x
and then differentiate both sides
ok:)
I got 23% as an answer?!
wait? does that mean you aren't looking for rate of change and you are looking for interest rate?
no! I think i am looking for rate of change. Why dont we just try out both?
−0.13% −13% 0.23% −23% these are the answer choics
none of those are the rate of change so you must be looking for interest rate
yes :)
@paki gave you the way to calculate the interest rate above just do 77%-100%
-23?
yes 77-100 is -23
so 77%-100% is -23%
Thanks :)

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