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Mathematics 18 Online
OpenStudy (anonymous):

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.

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?

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

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

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

OpenStudy (loser66):

np

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