Answer:
A
Step-by-step explanation:
The function is ![\frac{1620}{1+1.15e^{-0.042t}}](https://tex.z-dn.net/?f=%5Cfrac%7B1620%7D%7B1%2B1.15e%5E%7B-0.042t%7D%7D)
To find the maximum population, we need to set t towards infinity to get our answer.
So, we replace time with maximum (
). Let's check:
![\frac{1620}{1+1.15e^{-0.042t}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042t}}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042(\infty)}}}\\=\frac{1620}{1+\frac{1.15}{\infty}}\\=\frac{1620}{1+0}\\=\frac{1620}{1}\\=1620](https://tex.z-dn.net/?f=%5Cfrac%7B1620%7D%7B1%2B1.15e%5E%7B-0.042t%7D%7D%5C%5C%3D%5Cfrac%7B1620%7D%7B1%2B%5Cfrac%7B1.15%7D%7Be%5E%7B0.042t%7D%7D%7D%5C%5C%3D%5Cfrac%7B1620%7D%7B1%2B%5Cfrac%7B1.15%7D%7Be%5E%7B0.042%28%5Cinfty%29%7D%7D%7D%5C%5C%3D%5Cfrac%7B1620%7D%7B1%2B%5Cfrac%7B1.15%7D%7B%5Cinfty%7D%7D%5C%5C%3D%5Cfrac%7B1620%7D%7B1%2B0%7D%5C%5C%3D%5Cfrac%7B1620%7D%7B1%7D%5C%5C%3D1620)
The population of birds approaches 1620 as t goes towards infinity. So we can say the max population of the species is 1620.
Correct answer is A
Any second part or anything else to look at?
Answer:
Step-by-step explanation:
2:3 is the correct answer
<span>Let x = 0.5333333333 ...
So 100x = 53.3333333333 ...
and 10x = 5.3333333333 ...
---------------------------------
90x = 53 – 5 = 48.
So x = 48/90 = 8/15 after reduction to lowest terms (by factor of 6)
0.3333... = ⅓. and that 0.5 = ½.
So 0.533333... = 0.5 + 0.0333333...0.5 + 0.3333.../10 = 1/2 + (1/3)/10 = 1/2 + 1/30 = 16/30 = 8/15</span>
Answer
No. The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.