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
never [62]
3 years ago
10

The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: I = -425x^2 + 45,5

00x – 650,000.
What is the youngest age for which the average income of a lawyer is $275,000? Round to the nearest year.

According to this model, what is the predicted average annual income of 40-year-old lawyers? Round to the nearest whole dollar.
Mathematics
1 answer:
lord [1]3 years ago
6 0

We are given

The average income, I, in dollars is

I=-425x^2+45500x-650000

(a)

now, we are given

average income is $275000

so, I=275000

now, we can set them equal

and then we can solve for x

275000=-425x^2+45500x-650000

-425x^2+45500x-925000=0

we will have to use quadratic formula

x=\frac{-45500+\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{-\sqrt{45500^2-1572500000}+45500}{850}

x=\frac{-45500-\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{\sqrt{45500^2-1572500000}+45500}{850}

we get

x=27.28199

x=79.776

we need to find youngest age

It means that we need to choose smallest value

so,

x=27............Answer

(b)

we are given

x=40

so, we can plug it and find I

I=-425(40)^2+45500(40)-650000

I=490000..............Answer

You might be interested in
35,000 divided by 120
Naya [18.7K]

Answer:

291.666666667

Step-by-step explanation:

Rounds to 291.7

8 0
2 years ago
Read 2 more answers
PLEASE HELP ME!!!!!!!
AnnyKZ [126]

Answer: its not showing up

Step-by-step explanation:

5 0
3 years ago
How many seconds are in 35 min
GenaCL600 [577]

Answer:

2100

Step-by-step explanation:

Key: there are 60 secondes in a minute

60x35= 2100

3 0
3 years ago
Read 2 more answers
2 3 4 5 6 7 8 9 10 TIME REMAINING 54:22 Which is true regarding the system of equations? 6 x + 2 y = 46. 3 x + y = 23. The syste
ycow [4]

Answer:

system results in a true statement

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Margo drove for 3.85 hours at an average speed of 61.4 miles per hour . What is the exact distance she drove
katrin2010 [14]

The exact distance she drove was 236.39 miles


61.4 miles per hour  x (times)  3.85 hours  =     236.39 miles in total


6 0
3 years ago
Other questions:
  • 8. There are 4,800 plastic spoons in a case.
    13·1 answer
  • A cone-shaped paper drinking cup is to be made to hold 27 cm of water. Find the height h and radius r of the cup that will use t
    6·1 answer
  • Write a function to represent the set of ordered pairs.<br><br> {(2, -2), (3, 8), (4, 22), (5, 40)}
    11·1 answer
  • What is 9 3/10-1 7/10
    10·2 answers
  • Can someone help I know it's easy. ( picture attached)
    6·1 answer
  • I don’t know the answer I just need some points to ask more questions !!! have a good day !!
    11·1 answer
  • What should be added to the answer of 54 X 34 to get the answer of 58 X 34 ?
    12·2 answers
  • Which of these statements is true?
    6·1 answer
  • A student repeats the process of taking blocks out of a bag and replacing them 100 times. A green block is drawn 67 times. What
    5·1 answer
  • Which expression is equivalent to \frac{r^9}{r^3}
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!