Answer:
49.735919716217
Step-by-step explanation:
Area =
C2 / 4π
I = -425x^2 + 45500x - 650000
For I to be maximum, dI/dx = 0
dI/dx = -850x + 45500 = 0
x = 45500/850 = 53.53
Therefore, maximum I = -425(53.53)^2 + 45500(53.53) - 650000 = 567,794.11
Therefore, <span>the maximum average annual income, in dollars, a lawyer can earn</span> is $567,794
Given function is

now we need to find the value of k such that function f(x) continuous everywhere.
We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.
So we just need to find both left and right hand limits then set equal to each other to find the value of k
To find the left hand limit (LHD) we plug x=-4 into 3x+k
so LHD= 3(-4)+k
To find the Right hand limit (RHD) we plug x=-4 into

so RHD= 
Now set both equal





k=-0.47
<u>Hence final answer is -0.47.</u>
The answer for this question is 8