Twenty years ago, mr. davis purchased his home for $160,000. since then, the value of the home has
increased about 5% per year. use an exponential function to find the value of the home today.

The value of home today is $ 424527.63

Solution:

Given that, Twenty years ago, Mr. Davis purchased his home for $160,000

Since then, the value of the home has  increased about 5% per year

To find: Exponential function to find the value of home today

The exponential growth function is given by:

Where, "y" is the worth after "t" years

"a" is the initial amount

"r" is the rate of interest per year

From given information,

a = 160000

t = 20 years

Substituting the values we get,

Thus the exponential function is found

Let us find the value

Thus the value of home today is $ 424527.63

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5