Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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 growth 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?

Sagot :

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

What is growth rate?

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) = 106(1.014)^25

v(t) - 150056.47

Learn more about this concept here:

https://brainly.com/question/15383938

#SPJ1

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.