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
Black_prince [1.1K]
3 years ago
10

In this exercise, we estimate the rate at which the total personal income is rising in a metropolitan area. In 1999, the populat

ion of this area was 924,900, and the population was increasing at roughly 9400 people per year. The average annual income was $30,388 per capita, and this average was increasing at about $1400 per year (a little above the national average of about $1225 yearly). Use the Product Rule and these figures to estimate the rate at which total personal income was rising in the area in 1999.
Mathematics
1 answer:
DiKsa [7]3 years ago
8 0

Answer:

the rate at which total personal income was rising in the area in 1999 is $1,580,507,200 billion

Step-by-step explanation:

From the given information:

Let consider y to represent the number of years after 1999

Then the population in time (y) can be expressed as:

P(y) = 9400y + 924900

The average annual income can be written as:

A(y) = 1400y + 30388

The total personal income = P(y)  ×  A(y)

The rate at which the total personal income is rising is T'(y) :

T'(y) = P'(y)  ×  A(y)  + P(y)  ×  A'(y)

T'(y) = (9400y + 924900)' (1400y + 30388) + (9400y + 924900) (1400y + 30388)'

T'(y) = 9400(1400y + 30388) + (9400y + 924900) 1400

Since in 1999 y =0

Then:

T'(0) = 9400(1400(0) + 30388) + (9400(0) + 924900) 1400

T'(0) = 9400(30388) + (924900)1400

T'(0) = $1,580,507,200 billion

Therefore; the rate at which total personal income was rising in the area in 1999 is $1,580,507,200 billion

You might be interested in
The frequency table shows the results of a survey comparing the number of beach towels sold for full price and at a discount dur
Luden [163]

Answer:

0.90

Step-by-step explanation:

                     full price    discounted        total

month 1               49              1                     50

month 2             120             5                    125

month 3              101            24                   125

total                    270           30                  300

                     full price    discounted        total

month 1            0.98           0.02                   1

month 2           0.96           0.04                   1

month 3         0.808          0.192                   1

total              x = 0.9       y = 0.10                 1

x = 270 / 300 = 0.90

y = 30 / 300 = 0.10

3 0
2 years ago
Read 2 more answers
How many solutions exist for the given equation?
zmey [24]
<h3> Answer </h3>

x = 2

<h3>Step by step</h3>

1/2(x + 12) = 4x - 1

1/2x + 12/2 = 4x - 1

1/2x + 6 = 4x - 1

1/2x - 4x = -1 - 6

1/2x - 8/2x = -7

-7/2x = -7

x = -14/-7

x = 2

8 0
2 years ago
Write an equation in point-slope form of the line that passes through the given point and has the given slope. (-6, 2); m = 3​
pashok25 [27]

Answer:

there

Step-by-step explanation:

3 0
3 years ago
Please help!!!!!! find the area of the whole rectangle.
Olegator [25]

Answer:

Step-by-step explanation:

The area of a rec tangle is A x W

but first you have to find the area of the triangle wich is going to be 127.5.

Then you have to multiply 127.5 times 15.

And that will give you 1,912.5.

I think this is correct, but im not sure.

8 0
3 years ago
Find the area of a segment of a circle if its arc is 120 degrees and the radius is 3 inches.
Montano1993 [528]

Answer:<u> 9.42 inches</u>, 3π in terms of pi

Step-by-step explanation:

A full circle is 360 degrees, so if the segment has an arc of 120 degrees, it is 1/3 of a regular circle.

To find the area of a circle, we use the equation A = πr^2. In this case, we will divide the equation by 3 because we are only finding 1/ of a circle. So, our equation will be A  = (πr^2)/3.

Using 3.14 for π:

A  = (πr^2)/3.

A = (π3^2)/3

A = (π9)/3

A = 3π

A = 9.42

6 0
1 year ago
Other questions:
  • What do you need to find out before you can solve the problem? Show a way to find this. You can use a tool to help.
    5·1 answer
  • Which equation is the inverse of y = 16x2 + 1?<br> D. y= +or- sqrt x-1/4 is the correct answer
    5·1 answer
  • X+23x+61°<br> What kind of pair is it
    12·1 answer
  • Match the number with its opposite.
    9·2 answers
  • Find the perimeter of the figure.
    9·1 answer
  • Which of the following will make a confidence interval narrower and more precise?
    5·1 answer
  • What is the mean absolute deviation of 4 10 6 8
    14·2 answers
  • 3, 13, 14, 9, 7, 3, 3, 13<br> Find the median travel time for that group of students.
    8·2 answers
  • Pls2sssssssssssssssssssssss
    13·1 answer
  • can anyone help solve this with a detailed explanation so my older sister can find out how to do it ​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!