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## 12000

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**H**• Suppose the acreage of forest is decreasing by 2% per year because of development. If there are currently 4,500,000 acres of forest determine the approximate amount of forest land after 100 years. 12000**I**• The value of a piece of equipment has a decay factor of 0.80 per year. After 5 yr, the equipment is worth $98,304. What was the original value of the equipment? 597000**S**• Suppose one of your ancestors invested $500 in 1800 in an account paying 4% interest compounded annually. Find the account balance in the year 1900. 0.125**O**• A biologist is studying green peach aphids. In the lab, the population doubles every week. The expression models an initial population of 1000 insects after w weeks of growth. How many aphids will there be in 2 months? 25000**P**• Carbon-14 has a half-life of 5,700 years. Scientists use this fact to determine the age of things made of organic material. Suppose the average page of a book containing approximately 0.5 mg of carbon-14 is put into a time capsule. How much carbon-14 will each page contain after 11,400 years. 300000**C**• When you were born, your parents opened an account for you in which they put a penny when you were born. The account then doubles in value each year. How much money will be in the account when you turn 18? 256000**K**• The formula for the surface area of a cube is 6s2 where s is the length of a side of the cube. What is the surface area of a cube if the length of a side of the cube is 4.3 centimeters? 2600**J**• The bear population increases at a rate of 2% per year. There were 1573 bears in 2012. If the trend continues, in what year will the bear population be approximately 4500? 111**U**• The population of an endangered bird is decreasing at a rate of 0.75% per year. There are currently about 200,000 of these birds. Write a function that models the bird population. In how many years will the population be approximately half what it is now? 2065**G**• A new truck that sells for $29,000 depreciates 12% each year. Find the value of the truck after 7 years. 92