# The value of an industrial machine has a decay factor of 0.75 per year. After six years, the machine is worth 7500. What was the original value of the machine?

##### 1 Answer

Jul 21, 2016

I found:

#### Explanation:

Call the original value

after the first year the value will become:

after the second year:

after the third year:

so basically we have that after the nth year:

in 6 years:

so: