The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: I=-425x²+45

Question

3 years ago

10

The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: I=-425x²+45

,500x-650,000 According to this model, at what average age do lawyers earn their maximum average annual income? Round to the nearest year. @Mathematics

Mathematics

2 answers:

Evgen [1.6K] · Answer 1 · 2022-06-03T03:01:17+03:00

Evgen [1.6K]3 years ago

6 0

Answer:27

Skrrrrtt t brrrr its right jejsnshqhshdd

olchik [2.2K] · Answer 2 · 2022-06-03T00:40:52+03:00

olchik [2.2K]3 years ago

3 0

DI/dx=-850x+45500

d2l/d2x=-850 so when dl/dx=0 it is an absolute maximum for l(x)...

dl/dx=0 only when:

850x=45500

x=53.53

x=54 years of age (rounded)