Exponential Equation Practice

Compound Quarterly:Jose invests $500 at a bank offering 10% compounded quarterly. Find the amount of the investment at the end of 5 years (if untouched).

Compound Continuously:Tamika invests $500 at a bank offering 10% compounded continuously. Find the amount of the investment at the end of 5 years (if untouched).

a) How long will it take for the sample to decrease to 5 grams?

Answers

1. a. 1.024 b. P ( x )=35000(1.024)x, where x = the number of years since 2003 c. 38,500 people

2. a. 1.05 b. P ( x )=300(1.05)x c. ≈14.2 years

3. a. 0.85 b. A ( x )=25000(0.85)x c. $4921.86

4. Quarterly: $819.31 Continuously: $824.36 5. a. 7427.64 years b. 115.0 grams

6. 602248.8 bacteria