Armando consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Armando's body decreases exponentially. The 10-hour decay factor for the number of mg of caffeine in Armando's body is 0.2428. 1. What is the 5-hour growth/decay factor for the number of mg of caffeine in Zach's body?
2. What is the 1-hour growth/decay factor for the number of mg of caffeine in Zach's body?
If there were 176 mg of caffeine in Zach's body 1.54 hours after consuming the energy drink, how many mg of caffeine is in Zach's body 2.54 hours after consuming the energy drink?
Samantha took out a $46,000 student loan with a fixed interest rate to pay for college. Samantha did not make payments on her loan for a period of 7 years. After this time period interest had accrued, resulting in the loan balance increasing to $79,000.
1. What is is the 7-year growth factor for the amount that Samantha owes on the loan?
2. What is the 7-year percent change for the amount that Samantha owes on the loan?
3. What is is the 1-year growth factor for the amount that Samantha owes on the loan?
4. What is the 1-year percent change for the amount that Samantha owes on the loan?