Exponential Growth problem...see attached. I got r = .014384, but the answer key says otherwise.

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Exponential Growth problem...see attached. I got r = .014384, but the answer key says otherwise.

Mathematics
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i got a cartoon and some cars when clicking on the link
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ok what is "growth constant?" are you supposed to find k in \[Ae^kt\]?
i meant \[P(t)=A_0 e^{kt}\]
that's the formula that I used. I used 4.5 for A0
20 for time since 1980
6 on the other side
ok so you should be solving \[6=4.5e^{20k}\] for k
yes
I divided both sides by 4.5, then took the natural log of both sides
I got .28768 = 20 k
\[\frac{6}{4.5}=e^{20k}\] \[\frac{4}{3}=e^{20k}\] \[20k=\ln(\frac{4}{3})\] \[k=\frac{\ln(\frac{4}{3})}{20}\]
solving for k, I got .014384
Answer key says: .02310
\[k=0.0143841\] rounded
i get what you got
I don't know where they are getting this answer from in the key....must be a typo?
answer key is messed up
lol, thanks for checking with me
it happens. problems written my cadres of bored graduate students for extra cash, can easily be a mistake

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