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2 cards from this section. Quick, good the night before a test.
Calculate the population after 5 years for a town with a population of 1,200 growing at 3% per year.
Use the formula y = a(1 + r)^t with a = 1200, r = 0.03, and t = 5.
What is the worth of a painting worth $5,000 after 3 years if it depreciates at 10% per year?
You'll need to use y = a(1 - r)^t.
What is the formula for exponential growth?
Remember, you are adding the rate to 1.
If a quantity is decreasing exponentially, is the growth rate (r) positive or negative?
Think about what happens to the value as time goes on.
If an investment of $1,000 grows at an annual rate of 8%, how much will the investment be worth after 15 years?
Utilize y = 1000(1 + 0.08)^15.
A radioactive substance has a half-life of 5 years. If you start with 100 grams, how much will be left after 20 years?
After 20 years, there will be four half-lives; 100 -> 50 -> 25 -> 12.5 -> 6.25.
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