blank notes for growth and decay with compound interest

1. 7.6 GROWTH & DECAY
SECTION 7.6 PAGE 432

2. GROWTH 𝑦 = 𝑎(1 + 𝑟) 𝑡
𝑎: __________________________________________________
𝑟: __________________________________________________
𝑡: __________________________________________________

3. The prize for a radio contest begins with $100.
Once a day, a name is announced.
The person has 15 minutes to call or the prize increases by 2.5% for the next day.
a. Write an equation to represent the amount of the prize after t days with no
winners.
b. How much will the prize be if no one wins after 10 days?

4. COMPOUND INTEREST 𝐴 = 𝑃(1 +
𝑟
𝑛
) 𝑛𝑡
𝐴: ______________________________________________
𝑃: ______________________________________________
𝑟: _______________________________________________
𝑛: _______________________________________________
𝑡: _______________________________________________

5. Maria’s parents invested $14,000 at 6% annually compounded monthly.
How much money will there be in the account after 10 years.

6. DECAY 𝑦 = 𝑎(1 − 𝑟) 𝑡
𝑎: __________________________________________________
𝑟: __________________________________________________
𝑡: __________________________________________________

7. A fully inflated child’s raft for a pool is loosing 6.6% of its air every day.
The raft originally contained 4500 cubic inches of air.
a. Write an equation to represent the loss of the air.
b. Estimate the amount of air on the raft after 7 days.

8. HOMEWORK
Page 434
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