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Given an exponential function for compounding interest, A(x) = P(.82)x, what is the rate of change?

User Theodora
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2 Answers

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Answer:

The rate of interest is 18%.

Explanation:

The exponential function for the compound interest is
A(x)=P(0.82)^x

That is,
A(x)=P(1-0.18)^x

As we know,

The compound interest is given by
A=P(1+r)^x, where r = rate of interest.

On comparing, we get that,

The rate of interest is 0.18 i.e. 18%.

Hence, the rate of interest is 18%.

User Phan
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6 votes
For the answer to the question above, it is -18% because to find rate we subtract the rate, in this case, is .82 or 82% - 1 or 100% and that would give you the rate, in this case, its decreasing by an 18%
I hope my answer helped you.
User Ondrej Peterka
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