Reference no: EM132722504

1-How much would you need to deposit in a bank account paying 6%annual interest compounded continuously so that at the end of 15 years you would have $21,000?

2- Suppose that a bank account that compounds interest continuously grows from $200to $232 in three years. What annual interest rate is the bank paying?

3- Suppose a colony of bacteria has a continuous growth rate of 24% per hour. By what percent will the colony have grown after nine hours?

4- For the given point find the angle the radius of the unit circle ending at that point makes with the positive horizontal axis. Among the infinite number of possible correct solutions, choose the one with the smallest absolute value. (-3/2,1/2)

5- Suppose an ant walks counterclockwise on the unit circle from the point (0,1)to the endpoint of the radius that forms an angle of 8π/7 radians with the positive horizontal axis. How far has the ant walked? Enter the exact answer in terms of π.