Topic 12: Algebra ll

What is the formula for Exponential Decay?

What is the Halving Formula.

What is the Formula for Compounded Continuously?

Suppose that a bacteria population doubles every six hours. If the initial population is 4,000 individuals, how many hours would it take the population to increase to 25,000? Round to the nearest 10ths.

Plutonium has a half-life of 24,000 years. Suppose that 50 pounds of it was dumped as a nuclear waste site. How long would it take for it to decay into 10 lbs?

A coin has a value of $1.17 in 1995. Its value has been increasing at 9% per year. What is the value after 5 years?

A principal of $3000is invested at %8.5 interest, compounded annually. How many FULL years will it take to accumulate $6500 or more?

To pay an $1100 vacation in 10 years, how much money should the Franklins invest at 9% interest compounded continuously?