Chapter 4 practice question answers
4.1. Exponential Functions
1. ≈ 23.2%
2. B(t) is growing faster, but after 3 years A(t) still has a higher account balance.
3. 401.0071 , or about 401 people.
4. $4048.06
5. ≈ 950 ants
6. ≈ 0.59 cents
4.2. Logarithmic Functions
1. log4(16) = 2
2. 6
3. -2ln(x)
4.
5. 5
6. -3
7. ≈ 10.8, or nearly 11 years.
4.3. Exponential and Logarithmic Models
1. ≈ 4.1874 weeks.
2. ≈ 11.68 years.
3. ≈ 229.32, or approximately 229 years.
4. a. 99.7%
b. 97.2%
c. 74.9%
5. 10.845, or approximately 11 years.
6. ≈ 9.9%.