Need some help with Pert :
The population of a city is given by P below, where t is time in years. According to this model, how many years will it take for the city to have a population of 100,000?
P=35000e^0.25(t)
I need help with what steps i need to take.
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OpenStudy (loser66):
just set P = 100000 then solve for t
OpenStudy (anonymous):
yeah thats the part i need help with
OpenStudy (anonymous):
how would i set that up?
OpenStudy (loser66):
100000=35000e^(0.25t)
OpenStudy (anonymous):
i use natural log after that correct?
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OpenStudy (loser66):
divide both sides by 35000 first
OpenStudy (loser66):
then ln both side
OpenStudy (anonymous):
i got the answer of 21.02
OpenStudy (loser66):
nope
OpenStudy (anonymous):
ln2.86=.25t
1.05=.25t
divide both by .25
21.02=t
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OpenStudy (anonymous):
hmm lets see
OpenStudy (loser66):
1.05/0.25 = 4.199
OpenStudy (loser66):
but you should let the whole number when taking ln (2.857142857)
OpenStudy (loser66):
it would be = 1.049822124
OpenStudy (loser66):
divided by 0.25= 4.199288498
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OpenStudy (anonymous):
oh so i would only average out the number at the end
OpenStudy (loser66):
that's the number of year!!!
OpenStudy (anonymous):
lol yea
OpenStudy (loser66):
be careful, in this case, they ask for year. If they ask for day or hour, you must leave the decimal number to calculate. :) khakha
OpenStudy (anonymous):
hmm okay :)
thank you for your help! much appreciated<3
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