Question

PLEASE DONT WASTE MY POINTS ITS THE 5TH TIME POSTING

An economist calculates that the cost of living in Westminster is currently $44,000 per year and is increasing by 5% per year. What will the cost of living be in 20 years? Round to the nearest cent.

Answer 1

Given:

Initial cost of living = $44,000

Rate of increase = 5% = 0.05

To find:

The cost of living in 20 years.

Solution:

The exponential growth model is:

`y=a(1+r)^t`

Where, a is the initial value, r is the growth rate and t is the number of years.

Putting
`a=44000,r=0.05, t=20` in the above model, we get

`y=44000(1+0.05)^(20)`

`y=44000(1.05)^(20)`

`y=116745.099026`

`y\approx 116745.10`

Therefore, the cost of living in 20 years is about $116745.10.