- anonymous

Suppose the population of trout in a certain stretch of a river is 4000. In about how many years will the population of trout be 700 if the decay rate is 35%? Use the equation 700 = (4000)(0.65)x and round the value of x to the nearest year.

- jamiebookeater

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- anonymous

4 years

- anonymous

how did you get that?

- anonymous

(4000)(0.65)^4

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## More answers

- anonymous

@arindameducationusc is that right? ^^^

- anonymous

okay @nabiladh thank you!

- anonymous

internets lagging so having a hard time seeing responses

- anonymous

no prob

- anonymous

actually its 1 year
700=4000(0.65)^x
7000/4000=4000/4000(0.65)^x
7/4=(0.65)^x
log(7/4)=log(0.65)^x
0.24=xlog(0.65)
x=0.24/(0.187)
x=1.28
x=1 year

- anonymous

stuck between the 2 idk good luck

- arindameducationusc

@lily1021
i am pretty sure ..thatz not the answer.

- anonymous

hm okay so not 4

- anonymous

@zzr0ck3r can you help with this?

- zzr0ck3r

\(700 = (4000)(0.65)^x\\\dfrac{700}{4000}=0.65^x\\\ln(\dfrac{700}{4000})=\ln(0.65)^x=x\ln(0.65)\\
x=\dfrac{\ln(\dfrac{700}{4000})}{\ln(0.65)}\approx 4.04605\)
or
\(700 = (4000)(0.65)^x\\\dfrac{700}{4000}=0.65^x\\\log_{0.65}(\dfrac{700}{4000})=\log_{0.65}(0.65^x)=x\\x\approx 4.04605\)

- anonymous

so it is 4 years then

- zzr0ck3r

Are you asking me if the closest whole number to \(4.04605\) is \(4\)?

- anonymous

well I'm just confused now because it was 4 then it wasn't then it was 1 then I tried it on my own and got 3 somehow. It really was a rhetorical question.

- zzr0ck3r

you can check the answer by plugging it in...

- zzr0ck3r

its always been 4

- anonymous

But that was really unnecessary..

- zzr0ck3r

lol

- anonymous

It's not that funny. It was rude.

- zzr0ck3r

they are not mutually exclusive

- zzr0ck3r

It was meant to be funny. Sorry if you do not like my humor, focus on the math.

- anonymous

Meaning and intent aren't the same thing, so oop @ you. I'm not bothered though.

- zzr0ck3r

Meaning is actually synonymous to intent?

- zzr0ck3r

no need for confirmation. check your answers!
If I am right, then \(4000*0.65^{4.04605}=700\)
Get your calculators out!!!

- arindameducationusc

LOL

- arindameducationusc

yes, you are right @zzr0ck3r

- anonymous

Not really how something means to me isn't the same as how you meant something to be. English isn't my first language so maybe that's why you didn't understand.

- anonymous

Just leave my question, it's done with.

- anonymous

Please leave my question.

- zzr0ck3r

I fully understand that you are being a baby. Just say thanks for the help and move on :) It was funny. I know you were not asking me to round it for you, but I wanted to point out that it was a weird question. Also your reply about not being sure because it was 1, then it was 4... did you think I would say, oh actually yeah I am wrong and that other dude is right?

- zzr0ck3r

jokes again^^^

- arindameducationusc

:D

- arindameducationusc

k, guys i am going.... :)

- anonymous

No you are being rude. So stop. You seem to be the one who can't move on. Like why are you still here? This is my question I politely ask you go away.

- zzr0ck3r

I can not tell you anymore that I am joking. Also, the question is done. I solved it!!!

- anonymous

And I cannot tell you anymore it wasn't funny. So get off my question if the question is done!!

- zzr0ck3r

gn sorry :)

- zzr0ck3r

And I assure you many people would think it was funny.

- anonymous

Maybe pretentious douche bags who look down on people who are bad at math.

- anonymous

Please leave.

- zzr0ck3r

medal please?

- anonymous

lol

- zzr0ck3r

there ya go:)

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