12. TOURNAMENTS A chess tournament starts with 16 people competing. The exponential function y = 16 remaining in the tournament after x rounds. How many people are left in the tournament after 2 rounds? G 2 16(1) * describes how many people are F 4 H 8 J 1 12.

Bald Eagle Population The U.S. Fish & Wildlife Service has monitored the number of bald eagle breeding pairs in the lower 48 states. In Exercise 41b of the previous section, the number of pairs was modeled by the exponential function ft=4871.0723t where t=0 corresponded to 1963. Source: U.S. Fish & Wildlife service. If this trend continues, when will the number of bald eagle breeding pairs be double the 2006 level of 9789?

Maria, a biologist is observing the growth pattern of a virus. She starts with 100 of the virus that grows at a rate of 10% per hour. She will check on the virus in 24 hours. How many viruses will she find?

The annual percentage yield (APY) of an investmentaccount is a representation ofthe actual interest rateearned on a compounding account. It is based on acompounding period of one year. Show that the APYof an account that compounds monthly can be foundwith the formula APY=(1+r12)121.

Depreciation Once a new car is driven away from the dealer, it begins to lose value. Each year, a car loses 10% of its value. This means that each year the value of a car is 90% of the previous year’s value. If a new car was purchased for $20,000, the value at the end of the first year would be $20000(0.90) and the value of the car after the end of the second year would be $20000(0.90)2. Complete the table shown below. What will be the value of the car at the end of the eighth year? Simplify the expression, to show the value in dollars.