anonymous
  • anonymous
Given an exponential function for compounding interest, A(x) = P(.77)x, what is the rate of change?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@paki
paki
  • paki
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%
freckles
  • freckles
I thought rate of change was derivative...

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

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