I NEED HELP WITH THESE QUESTIONS PLZ.

1. A quantity Q grows exponentially, where Q0 = 100 and has a growth rate of 5% per unit time. Give a formula for the quantity Q as a function of time t, and find the value of the quantity at t = 10, if we assume the growth rate is: (a) Not continuous (b) Continuous 2. A town starts with 10,000 residents and grows at a continuous rate of 4% per year. (a) Write a formula for the population of the town after t years (use the equation editor to enter your formula) (b) What is the population of the town after 5 years have passed? (c) Find the annual growth rate of the population of the town 3. From time t = 0, with t in years, a $1200 deposit in a bank account grows according to the formula B = 1200 e 0.03 t . (a) What is the balance in the account at the end of 100 years? $ (b) When does the balance first go over $50,000? 4. Find the effective annual yield and the continuous growth rate k if Q = 5500 e 0.19 t (a) Effective annual yield = % (b) The continuous growth rate k = 5. How long does it take an investment to double if it grows according to the formula V = 537 e 0.19 t ? Assume t is in years