Given that the investment is doubled each year as expressed in the following equation:
![A=800(2)^n](https://img.qammunity.org/2023/formulas/mathematics/college/3mgf9fa2lernkpz245ox40ivsbsflcm7fg.png)
Where
A is the total value of the investment after a determined number of years.
n represents the number of years
To calculate the final amount after 4 years, you have to replace the formula with n=4 and calculate the final amount:
![\begin{gathered} A=800(2)^4 \\ A=800\cdot16 \\ A=12800 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/hfciau7x4llpg4edn0cga9ogj92e07qt8n.png)
After 4 years the value of the investment will be $12,800