1.BACTERIA GROWTH: A bacteria culture contains 1500 bacteria initially and doubles every hour.
a) Find a function that models the number of bacteria after t hours.
b) Find the number of bacteria after 16 hours.
c) When will the bacteria count reach 6,144,000.
2. RABBIT POPULATION: A certain breed of rabbit was introduced onto a small island 8 months ago. The current rabbit population on the island is estimated to be 4100 and doubling every 3 months.
a) What is the initial size of the rabbit population?
b) Estimate the population one year after the rabbits were introduced to the island.
3. COMPOUND INTEREST: Suppose that ₱12,000 is invested in a savings account paying 5.6% interest per year.
a) Write the formula for the amount in the account after t years if interest is compounded monthly.
b) Find the amount in the account after 3 years if interest is compounded daily.
c) How long will it take for the amount in the account to grow ₱20,000 if interest is compounded semiannually?