anonymous
  • anonymous
Suppose the population in a town has an average growth rate of 18% . If there are 15,500 people now living in town, in about how many years will the population grow to 30,000? Use the equation 30,000 = (15,500)(1.18)x and round the value of x to the nearest year.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Theloshua
  • Theloshua
|dw:1440806804136:dw|
Theloshua
  • Theloshua
is that the equation you meant to put? its a squared?
anonymous
  • anonymous
um yeah you drew it right.

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More answers

Theloshua
  • Theloshua
okay. do you have any answer choices, or no? and did you attempt to solve it yet?
anonymous
  • anonymous
I do have choices, but I don't know how to solve it with steps. I don't want to just generate it from a calculator... I wanna know how to do it.
anonymous
  • anonymous
Do you want my options?
Theloshua
  • Theloshua
yes please :)
Theloshua
  • Theloshua
just to double check myself
anonymous
  • anonymous
a. 7 b. 4 c. 6 d. 5
Theloshua
  • Theloshua
okay, just a second please
anonymous
  • anonymous
okay
Theloshua
  • Theloshua
okay
Theloshua
  • Theloshua
The only real way possible is to solve using a calculator, but I will show you how the steps work
anonymous
  • anonymous
okay
Theloshua
  • Theloshua
first thing you will do is divide the 15500 from both sides so:|dw:1440807637374:dw|
Theloshua
  • Theloshua
good so far?
anonymous
  • anonymous
yeah it canceled out
Theloshua
  • Theloshua
okay, now is where your graphing calculator comes in. you must use the function (ln) to solve.
Theloshua
  • Theloshua
so \[\ln \left( 30000/15500 \right) = .66\]
Theloshua
  • Theloshua
understand so far?
anonymous
  • anonymous
I don't have a graphing calculator on me right now but I understand
Theloshua
  • Theloshua
okay good :) then you move on to the other side and use \[\ln (1.18) = .166\]
anonymous
  • anonymous
okay
Theloshua
  • Theloshua
so now you have \[.66 = .166x\]
Theloshua
  • Theloshua
guess what your next step is ;)
anonymous
  • anonymous
um solve for x?
Theloshua
  • Theloshua
so? how do you do that?
anonymous
  • anonymous
I would do 66/100 166/100 x so 2*3*11/2^2*5^2 2*83/2^3*5^3 x 330/83 which is like 3.975 ish
anonymous
  • anonymous
so my answer would be 4
anonymous
  • anonymous
... I think lol
Theloshua
  • Theloshua
whoah.... idk what you just did there... all you had to do was|dw:1440808526563:dw|
Theloshua
  • Theloshua
you got the answer, but whatever you did was super complicated
anonymous
  • anonymous
well that's how my book has others solved for x, but I mean I still got the answer. It makes sense to me
anonymous
  • anonymous
You way is simpler so I'll use that way too
anonymous
  • anonymous
sorry what it that number under the 1st . 66 ?
Theloshua
  • Theloshua
okay haha, yeah, whenever the equation is set up like that it is easiest to just divide both sides by the number with the variable. it instantly gives yoy your answer
anonymous
  • anonymous
just .166 ?
Theloshua
  • Theloshua
yes, .166 both sides are divided by the number with the variable attached to it
anonymous
  • anonymous
okay thank you so much for helping... you are the best!
Theloshua
  • Theloshua
okay :D glad I could be of assistance!!!

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