We can use the compound interest formula:
![A=P(1+(r)/(n))^(nt)](https://img.qammunity.org/2023/formulas/mathematics/high-school/39foo2gerf9tf1ffk32zwshrn339mz02kv.png)
The principal value, P, is the initial amount of money: $4129.
The rate of interest, r, is 6.45%, or .0645.
The number of times compounded, n, per year is 1.
The number of years, t, is 7.
Plug all of these values into the equation and solve for A.
![A=4129(1+(.0645)/(1))^((1)(7))](https://img.qammunity.org/2023/formulas/mathematics/college/sguhjh97z7i2wzd4xsaezi8uiro8r4yrd6.png)
Evaluate the expression...
![A=6395.3533](https://img.qammunity.org/2023/formulas/mathematics/college/w4er4wf6in908l6zkribm76bcakt0xinx2.png)
Rounded to the nearest dollar, this value becomes: $6395.
The investment will be worth $6395 after 7 years.