1. In the formula A(t) = Pe^rt for continuously compound interest, the letters P, r, and t stand for principal , interest rate per year , and , number of years respectively, and A(t) stands for amouny after t years . So if $300 is invested at an interest rate of 7% compounded continuously, then the amount after 4 years is $ . (Round your answer to the nearest cent.)

2. When a certain medical drug is administered to a patient, the number of milligrams remaining in the patient's bloodstream after t hours is modeled by

D(t) = 60e^0.5t.

How many milligrams of the drug remain in the patient's bloodstream after 3 hours? (Round your answer to one decimal place.) mg

3. n investment of $4000 is deposited into an account in which interest is compounded continuously. Complete the table by filling in the amounts to which the investment grows at the indicated interest rates. (Round your answers to the nearest cent.)

t = 3 years

Rate per year	Amount

1% $

2% $

3% $

4% $

5% $

6% $

4. If $3500 is invested at an interest rate of 9.25% per year, compounded continuously, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)

(a) 3 years $

(b) 9 years $