Problem 9c. Suppose you invest $1.00 at 6% annual interest. Calcualte the amount that is compounded continuosly. This is what I have done: A=Pe^rt =1.00e^(0.06)(1) Is this right so far? Problem 11b. A population of ladybugs rapidly multiplies so that population t days form now is given by A(t)=3000e^(0.01)(t). How many will be present in a week? A(t)=3000e^(0.01)(7) = 3000.56 Is this right? Problem 12. Suppose that $10,00 is invested at an annual rate of 9% and that interest is compounded every second for 365 days. Find the value of this investment at the end of one year. Compare this answer with the value of 10,000e^0.09. This is what I have done: P(t)=Pe^rt =10,000e^(0.09)(31536000) =10,000e^2838240 =26,141,156.46 Is this right?