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
miv72 [106K]
3 years ago
12

A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Answer:

The average yearly salary of  the architect is <u>$62,000</u> and the lawyer is <u>$100,000</u>.

Step-by-step explanation:

Given:

The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Combined, an architect and a lawyer earn $ 210 thousand.

Now, to find the average yearly salary of  an architect and a lawyer.

Let the average yearly salary of  an architect be x.

So, the average yearly salary of  the lawyer = 2x-24,000.

Combined, architect and lawyer earn = \$210,000.

Now, to get the average salary of the architect and lawyer:

x+(2x-24000)=210000

x+2x-24000=210000\\\\3x-24000=210000

<em>Adding both sides 24000 we get:</em>

3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.

<u>The average salary of architect = $62,000.</u>

Now, to get the average salary of lawyer by substituting the value of x:

2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.

<u>The average salary of lawyer = $100,000.</u>

Therefore, the average yearly salary of  the architect is $62,000 and the lawyer is $100,000.

You might be interested in
For the 50 students in an art contest there will be one prize for first place one prize for second place and three prizes for ho
igor_vitrenko [27]

Answer:

1/10

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Can someone help me please
MAXImum [283]
13. 12 3/8
14. 9 2/3
15. 3 4/10
16. 3
6 0
3 years ago
If angela swims 1700 meters in 40 minutes what is her unit ratio?
Licemer1 [7]
 you would divide 1700 by 40

1700/40= 42.5

there for the unit ratio would be 42.5 meters per minute
7 0
2 years ago
Read 2 more answers
The following histogram shows the number of items sold at a grocery store at various prices:
Contact [7]

Answer:

C. 2.50, 2.51, 5.00, 5.01, 7.50, 9.00, 10.00

Step-by-step explanation:

8 0
2 years ago
Pls help asap the best I can do is 50 points
lutik1710 [3]

Step-by-step explanation:

8.a.

a function is something that looks like

y = ax + b or similar.

it describes the way to calculate the result for whatever input value you can come up with.

so,

C = 12×d + 8

you could also say

C(d) = 12×d + 8

as, when you rent, you have to pay these $8 in any case, no matter how long you stay, and you need to pay $12 per day you stay.

funny thing is : you understood this perfectly well when doing b.

c.

the constant rate of change is always the factor of the input variable. here : 12

it is the ratio of (y change) / (x change)

or here (C change / d change).

it indicates that for any increase of d by 1 (staying one day longer) the charges C increase by 12.

9.a.

remember, what we just said about the rate of change ?

it is (result change) / (input change).

between 2010 and 2015

the input changed by +5 (from 2010 to 2015).

the result changed by +6.25 (from 37 to 43.25).

the rate of change is therefore

6.25/5 = 1.25 = 1 1/4 = 5/4

the function is therefore

population in millions = (years since 2010)×5/4 + 37

p = y×5/4 + 37

b.

now we want to find the number of years (y) so that the result of that equation is 50.

50 = y×5/4 + 37

13 = y×5/4

52 = 5y

y = 52/5 = 10.4

so, this will be during the 11th year after 2010 = 2021.

10.

be careful and concentrate.

you see that the sequence goes up 20, when n goes up 5 (and not just 1) ? there was your initial mistake.

a.

again, remember the change rate : it is result change / input change.

so, we have here 20/5 = 4.

so,

C(n) = 4×n + 50

b.

n = 12

C(12) = 4×12 + 50 = 98

c.

now we have C(n), and want to find for which n this is true.

C(n) = 78

78 = 4×n + 50

28 = 4×n

n = 7

after 7 visits the costs are 78.

there are the basic costs of 50 (for n = 0 or 0 visits) and then extra 4 for every visit.

d.

the x-axis is for the number of visits, the y-axis for the costs.

so, the line starts at the point (0, 50), and then passes through the points of the original table (5, 70), (10, 90), (15, 110). and if you want you can calculate the points for higher x (or number of visits).

4 0
2 years ago
Other questions:
  • A survey indicated that 3 out of 5 doctors use brand X aspirin. If 2000 doctors were surveyed, how many used brand X?
    11·2 answers
  • A bag contains 26 red marbles, 8 white marbles, and 5 gray marbles. You randomly pick out a marble, record its color, and put it
    10·1 answer
  • Which graph represents a linear function?
    9·2 answers
  • What is the square root of 586
    15·1 answer
  • Which set of angle measures could be the measures of the interior angles of a triangle? 50°, 60°, and 75° 35°, 105°, and 45° 62°
    12·2 answers
  • For one photography session, Dexter earns no less than $50, but no more than $100. Which inequality can be used to represent his
    7·2 answers
  • Find the simple interest on RS.2500 for 2 years and 6 months at 3% per annum.Also find the amount.
    10·1 answer
  • STD 10
    8·1 answer
  • Solve the equation <br><br> -3x - 5 =16 <br><br> What does x =??
    10·2 answers
  • The length of a rectangle is 8 inches more than the width. the perimeter is 44 inches. find the length and width of the rectangl
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!