How much interest does 8000 earn in one day at an interest rate of 6compounded daily What is the balance after a day?

To calculate the interest earned in one day on $8,000 at a 6% annual interest rate compounded daily, use the formula for daily interest: ( \text{Interest} = P \times \left( \frac{r}{n} \right) ), where ( P ) is the principal, ( r ) is the annual interest rate, and ( n ) is the number of compounding periods per year (365 for daily). Plugging in the numbers:

[ \text{Interest} = 8000 \times \left( \frac{0.06}{365} \right) \approx 1.316 ]

After one day, the balance would be the initial amount plus the interest earned, which is approximately ( 8000 + 1.316 \approx 8001.32 ).