The answer is b. x=y, if you need help as to why ill be glad to help
Answer:
24.1 billion
Step-by-step explanation:
One way to write the logistic function is ...
P(t) = AB/(A +(B-A)e^(-kt))
where A is initial value (P(0)), and B is the carrying capacity (P(∞)). We are told to use relative population growth in the 1990s as the value for k.
In billions, we have ...
A = 5.3
B = 100
k = 0.02/5.3 ≈ 0.003774 . . . . . relative growth rate at 20 M per year
t = 2450 -1990 = 460
![P(t)=\dfrac{530}{5.3+94.7e^{-0.003774t}}\\\\P(460)=\dfrac{530}{5.3+94.7e^{-1.73604}}\approx \boxed{24.1\quad\text{billion}}](https://tex.z-dn.net/?f=P%28t%29%3D%5Cdfrac%7B530%7D%7B5.3%2B94.7e%5E%7B-0.003774t%7D%7D%5C%5C%5C%5CP%28460%29%3D%5Cdfrac%7B530%7D%7B5.3%2B94.7e%5E%7B-1.73604%7D%7D%5Capprox%20%5Cboxed%7B24.1%5Cquad%5Ctext%7Bbillion%7D%7D)
Looking first at the graph, we see that the intial potato production was 25000 lb, and that potato production tapered off to below 20000 lb over time.
Analyzing the equation for corn production: C(t) = 25,000 + 500 ln(t + 1), we see
that the initial production was 25000 lb per year and that this increases steadily with time.
Thus, answer A is false.
Answer B is false because at the outset the amounts of corn and potatoes was equal (25000 lb).
Answer D makes sense. Productions were both 25000 lb at the beginning, but the corn production rose steadily over time, exceeding the potato production.
It’s 678m2 because Given the dimension of a rectangular prism l×b×h,its surface area is 2(lb+bh+lh)Hence surface area of a rectangular prism that measures 12 m x 11 m x9 mis 2×(12×11+11×9+12×9)= 2×(132+99+108)= 2×339=678m2