In the year 1985, a house was valued at $106,000. By the year 2005, the value had appreciated to $146,000. What was the annual g

Question

1 year ago

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rowth rate between 1985 and 2005? Assume that the value continued to grow by the same percentage. What was the value of the house in the year 2010?

1 answer:

N76 [4] · Answer 1 · 2023-07-23T17:46:01+03:00

The value of the house in the year 2010 is 150056.47.

<h3>What is growth rate?</h3>

The growth rate of a value (GDP, turnover, wages, etc.) measures its change from one period to another (month, quarter, year)

Value

v(t) = V0 ( 1 + r)^t

let V0 = 106, v(20) = 146

So,

146 = 110(1 + r )^20

146/110 = (1 + r )^20

1.327 = (1 + r )^20

1+ r = 1.014

r= 0.014

So, annual growth rate is 1.4%.

In the year 2010

v(t) = 106(1.014)^25

v(t) - 150056.47

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