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anonymous
 one year ago
will give a medal!
A country's population in 1992 was 222 million.
In 2001 it was 224 million. Estimate
the population in 2004 using the exponential
growth formula. Round your answer to the
nearest million.
P = Aekt
anonymous
 one year ago
will give a medal! A country's population in 1992 was 222 million. In 2001 it was 224 million. Estimate the population in 2004 using the exponential growth formula. Round your answer to the nearest million. P = Aekt

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What about the last question??? The way to solve this problem is nearly exactly the same as the last one.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Help me help you, do you understand what that formula represents, what the goal is of the problem, etc etc. Please tell me what you know and I will tailor my approach to that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I understand, but if you don't understand the last problem the solutions for the two are almost exactley the same.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont understand the problem the equation

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0you can do it without using \[A=Pe^{kt}\] if you like

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont know how to use that either lol

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0lets make it easier and call 1992 year zero

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0the beginning population is 222 that is your \(P\)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0lol no, not the way they asked the question, that is your A

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0\[P=1222e^{kt}\] but you don't know \(k\) that is what you have to find

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0then since 9 years later it is 224 you can solve \[\large224=222e^{9k}\] for \(k\)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0yeah divide take the log divide by 9

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ix.ty Do you see why you need to take the log?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Please make sure to take the log before dividing by 9

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0\[224=222e^{9k}\\ \frac{112}{111}=e^{9k}\\ \ln(1.009)=9k\\ k=\frac{\ln(1.09)}{9}\]

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0oh, if you don't know about logs you can's use this method

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@misty1212 this is the same issue that cam up on the previous problem I was working with @ix.ty

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok as I discussed before the natural logarithm is the INVERSE function of the exponential function.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ix.ty Do you know what an inverse function means? If so, could you tell me and perhaps give an example please.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it reverses another funtion f(x)=1/3x+1 youll but a y infront of the "fx"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Exactley, an inverse function reverses the action of a function. But to make it a little more rigorous, given an equation of the form y=f(x) where given an value x the function f gives me a value y that is related in a onetoone fashion with x..... the inverse function (forgoing the discussion of domain and other issues) f^1(y)=x is how given the y value I can find the corresponding x value that is related to it in a onetoone fashion

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok so if f(x)=x^3 then in order to find the value y=x^3 I have to apply the inverse function which happens to be the cube root: i.e. (y)^(1/3)=(x^3)^(1/3)=x^(3/3)=x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0SO.... the exponential function that is at the cent of this who exponential growth and decay has an inverse function called the logarithm

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now lets forgo for the moment the idea of e and the natural exponential and the natural logarithm and ask ourselves the question what does exponential growth and decay mean. You first, what does exponential growth mean, and can you give me an example please?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry the grammar/spelling is so poor, but typing in this text box causes it to bounce around for some reason and given I think faster than I type I sometimes gloss over letters and words sometimes..... what I meant to say above was the exponential function is at the center of of all these exponential growth and decay questions

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The reason why I am trying to go into detail is if you don't understand what it is and where it comes from, these problems will continually give you trouble

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright, well I tried twice now to help, but it is a two way street. If I can't get any reciprocity, then I can't help.
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