Since a letter is selected from a c c o m m o d a t i o n

Possible outcome:

It could be any of the thirteen letters. There are thirteen possibilities.

a c c o m m o d a t i o n

8 0

2 years ago

In this exercise, we estimate the rate at which the total personal income is rising in the Richmond-Petersburg, Virginia, metrop

babymother [125]

Answer:

The rate at which the total income is increasing is$1627415600

Step-by-step explanation:

From the given data

Population in the area=P=961400

The rate of increase in population=dP/dt=9200

The Average Income=I=$30593

The rate of increase in Average Income=dI/dt=$1400

Now the total income is given as

Total Income=TI=PI

So the rate of increase of total personal income is given as $\frac{d}{dt}(PI)$

From the product rule of derivatives

$\frac{d}{dt}(P*I)=I*\frac{dP}{dt}+P*\frac{dI}{dt}$

Here

I is the Average Income which is given as $30593

dI/dt is the rate of increase of income which is given as $1400.

P is the population of the area which is given as 961400

dP/dt=9200 is the rate of increase of population which is given as 9200

By substituting the values,

$\frac{d}{dt}(P*I)=I*\frac{dP}{dt}+P*\frac{dI}{dt}\\\frac{d}{dt}(P*I)=30593*9200+961400*1400\\\frac{d}{dt}(P*I)=\$1627415600$

So the rate at which the total income is increasing is$1627415600

8 0

3 years ago