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
Answer:
The train would travel 880 km in 11 hours.
Step-by-step explanation:
The tree is 25 feet tall. Given the height of the stick and the shadow it cast, the angle formed by the sun and the stick's height can be obtained by taking the Inverse Tangent of 3/5. This is equal to 30.93. This angle is equal to the angle formed by the sun and the tree's height. Using the tangent formula, Tan (30.93)=tree's shadow (15 ft)/ height of the tree, giving the answer 25 feet.
Answer:
You could use the equation y = mx + b to solve this problem. The m would equal 7.5 and the be would be zero, so the equation would be y = 7.5x + 0. Add values for x and you would get y.