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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.

Sagot :

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:

[tex]y=a(1+r)^t[/tex]

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

Putting [tex]a=44000,r=0.05, t=20[/tex] in the above model, we get

[tex]y=44000(1+0.05)^{20}[/tex]

[tex]y=44000(1.05)^{20}[/tex]

[tex]y=116745.099026 [/tex]

[tex]y\approx 116745.10 [/tex]

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

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