Mathematics
12.01.2022 17:19
282
368
10
Solved by an expert

On the basis of data from 1990 to 2006, the median income y in year x for men and

On the basis of data from 1990 to 2006, the median income y in year x for men and women is approximated by the equations given below, where xequals0 corresponds to 1990 and y is in constant 2006 dollars. if these equations remain valid in the future, in what year will the median income of men and women be the same?
men: -255x+2y=56,937women: - 842x+3y=42,751
Show Answers
cameron12502
cameron12502
4,5(22 marks)

In 2083

Step-by-step explanation:

Given,

The median income y in year x since 1990 for men,

-255x+2y=56,937     .......(1),

For women,

-842x+3y=42,751       ........(2),

From equation (1),

2y = 56937 + 255x

\implies y = \frac{1}{2}( 56937 + 255x)

From equation (2),

842x+3y=42,751,

3y = 42751 + 842x

\implies y =\frac{1}{3}(42751 + 842x)

When the median income of men and women are same,

\frac{1}{2}( 56937 + 255x)=\frac{1}{3}(42751 + 842x)

3( 56937 + 255x)=2(42751 + 842x)

170811 + 765x = 85502 + 1684x

765x = 85502 + 1684x-170811

765x - 1684x = 85502 -170811

-919x = -85309

\implies x = \frac{85309}{919}=92.828\approx 93

∵ 1990 + 93 = 2083,

Hence, in 2083, the median income of men and women would be the same

jaida1102
jaida1102
4,7(87 marks)

Good luck!

Step-by-step explanation:

Popular Questions about the subject: Mathematics

Kevin ran 6/7 miles and his brother james ran 10 miles. How many miles...
Mathematics
03.04.2020 20:23
Can y’all hwelp mwe pweasee...
Mathematics
16.06.2023 08:19
Find the value of y. the top angle is 135 the one slightly to the right...
Mathematics
08.07.2020 14:13
Please help me asappp​...
Mathematics
28.04.2023 05:07
Please help. What is the area of triangle ABC?...
Mathematics
09.06.2021 09:57
(1/2x)+(3/2y)=-7 -3x+2y=-2​...
Mathematics
03.03.2021 14:06
What is the HCF of a=2*3^(4)*5 and B=2^(3)*3^(2)*5^(2)...
Mathematics
13.01.2022 02:27
What is the solution to the system of equations ?...
Mathematics
21.12.2022 03:42
To which of the following sets of numbers does 725 belong? Prime Number...
Mathematics
12.01.2020 01:29

New questions by subject

You can have ice cream you finish your dinner. a: when b: but c: and d:...
English
13.04.2023 02:53
Is the number 5,239 old or even explain why...
Mathematics
30.09.2021 01:05
Velvet fabric costs $11.49 a yard. yvette buys 9.3 yards. yvette’s estimated...
Social Studies
26.02.2022 11:16
I ve a terrible headache. a: have b: gets c: gottin d: got e: has...
English
08.10.2020 07:00
Would the answer be their or there ?...
English
17.07.2021 14:23
Quadrilateral abcd is reflected over the x-axis to create a′b′c′d′. what...
Mathematics
11.07.2022 08:20
Aform of prejudice that keeps us from seeing people as individuals is stereotyping....
History
19.02.2021 09:32
#
#
#
#
# #

We expand our knowledge with many expert answers