Answer:
Option b
Explanation:
We have a compound interest problem. With an annual interest rate of 0.675 and an initial payment of 8500, with t = 25 years
Then you must use the annual compound interest formula, which is represented by a growing exponential function:
![y = e ^(ht)](https://img.qammunity.org/2020/formulas/mathematics/high-school/bhwkxwbqfho3xcdrju0qq02sjc9jx7tb1x.png)
Where:
h is the interest rate of 0.675
y is the money in the savings account as a function of time
Then substitute the values in the formula and we have:
![y = e ^(0.675(25))](https://img.qammunity.org/2020/formulas/mathematics/high-school/q6ysjjbuu5k1s116c5wo1oxwrzjln25110.png)
![y = 45,950.57](https://img.qammunity.org/2020/formulas/mathematics/high-school/bhv1edufw9604t3e8rwd7hr2pgh5ju6ld0.png)