SOLUTION: {{{ A=P(1-r)^n }}} How do i find out what n is? Please show working out. {{{ A=38000(1-r)^n }}} That is all the information i know. Could you help me? The question Wants m

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: {{{ A=P(1-r)^n }}} How do i find out what n is? Please show working out. {{{ A=38000(1-r)^n }}} That is all the information i know. Could you help me? The question Wants m      Log On


   

Question 984615: +A=P%281-r%29%5En+
How do i find out what n is?
Please show working out.
+A=38000%281-r%29%5En+
That is all the information i know.
Could you help me?
The question Wants me to develop an algebraic model to approximate the tiger population at any given date?
Tiger population Table:
Years before 1970 | Tiger Population |
0 | 38'000 |
5 | 36'000 |
10 | 30'000 |
15 | 23'000 |
20 | 17'000 |
25 | 13'000 |
30 | 10'000 |
35 | 8'000 |
40 | 7'000 |
Basically so if i type a date in the equation it will give me an approximate population. Could you help me workout this? please go into detail. Also please reply ASAP, as its late and due tommorrow. Thanks :)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
A good way could be to linearize the equation model, and then plot points on graph paper, and find your best line. Your points need to be (n, log((A)) ), for whichever log base you want to use. Horizontal axis coordinate is for n, and vertical axis coordinate is for log((A)). You would then find the parts of your equation directly reading the graph. You have several points to plot, so hopefully this may be enough to find an easy or reliable line.

Taking log of each side of your basic model:

log%28%28A%29%29=log%28%28P%29%29%2Blog%28%28%281-r%29%5En%29%29

log%28%28A%29%29=n%2Alog%28%28%281-r%29%29%29%2Blog%28%28P%29%29

The slope will be log%28%281-r%29%29, and the vertical axis intercept will be log%28%28P%29%29.