Aphid growth on different plants: This is a continuation . In the study described , aphids were also reared indoors on collard and on yellow rocket (a decorative flower). Use the following tables to determine whether aphids fare better on collard or on yellow rocket. Time t is measured in days.
1. Percentage growth: A population grows by 4.5% each year. By what percentage does it grow each month?
2. Percentage decline: A population declines by 0.5% each year. By what percentage does it decline each decade?
3. Credit cards: Suppose you make a charge of $1000 to a new credit card but then charge nothing else and make the minimum payment each month. If the finance charges amount to a monthly rate of 2% and the minimum payment is 5% of the new balance, then your balance B, in dollars, after n payments is an exponential function given by the formula
a. Find the exact value of the decay factor a.
b. By what percentage does your balance decrease each month?
c. What will your balance be after you have made payments for 3 years?
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