1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
WINSTONCH [101]
4 years ago
14

The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with the following function:

Mathematics
1 answer:
Eduardwww [97]4 years ago
8 0
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
You might be interested in
If f(x)=3x+2, find the following value:<br> f(4)=?
lubasha [3.4K]

Answer:

f(4)=14

Step-by-step explanation:

f(x)=3x+2

f(4)=3x+2

f(4)=3*4+2

f(4)=12+2

f(4)=14

Hope this helps!

3 0
3 years ago
Bob spends 30 hours in 4 weeks of gardening. How many hours does he garden in 5 weeks
Mademuasel [1]

Answer:

37.5 hrs

Step-by-step explanation:

You do cross multiplication hours on top and weeks on the bottom.

4 0
3 years ago
Dairy farmers are aware there is often a linear relationship between the age, in years, of a dairy cow and the amount of milk pr
Jobisdone [24]

Answer:

B. A cow of 5 years is predicted to produce 5.5 more gallons per week.

Step-by-step explanation:

Let M(a) = 40.8-1.1\cdot a, where a is the age of the dairy cow, measured in years, and M(a) is the predicted milk production, measured in gallons per week.

Besides, we consider a_{1} and a_{2}, such that a_{1}\ne a_{2}, we define the difference between predicted milk productions (\Delta M) below:

\Delta M = -1.1\cdot (a_{2}-a_{1}) (1)

If we know that a_{1} = 5\,yr and a_{2} = 10\,yr, then the difference between predicted milk productions is:

\Delta M = -1.1\cdot (10-5)

\Delta M = -5.5\,\frac{gal}{week}

That is, a cow of 5 years is predicted to produce 5.5 more gallons per week than a cow of 10 years. Hence, the right answer is B.

6 0
3 years ago
What is 1/2 times 6?
son4ous [18]
1/2 times 6 = 1/2 * 6
so in order to make this multiplication you have to turn 6 to a fraction, 6 is equal to 6/1
so , the way to multiply them is multiply the top with the top and it will be the top in the answer and the exact same with the bottoms

6*1= 6
2*1=2 

so the fraction is 6/2, since a fraction is basicly a division

6/2 = 3

so the answer to your question is 3

i hope i helped you
6 0
3 years ago
Read 2 more answers
Create a direct variation equation. a b c or d​
TEA [102]

Answer:

too small

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Can some one please help me thank you ☺️
    8·1 answer
  • a train car manufacturer has 828 Wheels each train and car needs for 16 wheels to carry heavy loads how many complete cars can t
    6·1 answer
  • 2. Determine the answer to (-5) + 4 and explain the steps using a number line (5 points)
    15·2 answers
  • Sanjeet bought a new car at the dealership for $28,000. It is estimated that the value of the new car will decrease 8% each year
    9·2 answers
  • Please help!!!<br> Geometry
    9·1 answer
  • (n – p)^2; use n=5, and p= 3<br>​
    6·2 answers
  • The list of individuals from which a sample is actually selected is called the sampling frame. Ideally, the sampling frame shoul
    13·1 answer
  • Which of the following graphs could represent a quartic function?
    12·2 answers
  • (1 point for work, 1 point for correct answer) PLEASE HELP BEFORE WINTER BREAK​ NO LINKS HURRY
    6·2 answers
  • What is the 3rd nth term in 3n+2
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!