8,000 dollars is invested at 6 percent compounded continuously for 5 years. Which expression gives the balance?

1. Continuous compounding uses the balance formula A equal to P times e to the power rt. 2. The principal P is 8,000 dollars. 3. The rate r must be written as a decimal, so 6 percent becomes 0.06. 4. The time t is 5 years. 5. Multiply the rate by the time to get the exponent. 6. That gives 0.06 times 5, which is 0.3. 7. So the balance is 8000 times e to the power 0.3. 8. The exponent 30 leaves the rate as a whole percent instead of a decimal. 9. The exponent 0.06 uses the rate alone and forgets the 5 years. 10. The exponent 5 uses the time alone and forgets the rate. _Source: OpenStax Intermediate Algebra (CC BY 4.0), section 10.2 Evaluate and Graph Exponential Functions_