if 8000 is invested in a long-term trust fund with an interest rate of 5% compounded continuously what is the amount of money in the account after 15 years?

amount = 8000 * e^(.05 * t)

Thanks

To calculate the amount of money in an account after a certain time period with continuous compounding interest, we can use the formula:

A = P * e^(rt)

Where:
A = the amount of money in the account after the specified time period
P = the principal amount (initial investment)
e = Euler's number (approximately 2.71828)
r = the interest rate (in decimal form)
t = the time period (in years)

In this case:
P = $8000
r = 5% = 0.05 (in decimal form)
t = 15 years

Plugging in these values into the formula:

A = $8000 * e^(0.05 * 15)

Now, let's calculate this using Python:

```python
import math

P = 8000
r = 0.05
t = 15

A = P * math.exp(r * t)
A
```

By running this code, we find that the amount of money in the account after 15 years is approximately $19,538.94.