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Radioactive Decay In Exercises 21-24, find the missing value for the radioactive isotope.
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- Radioactive Decay In Exercises 21-24, find the missing value for the radioactive isotope. Half-lifeInitialAmountAfterIsotopeyearsQuantity1000Years239Pu24,1000.4garrow_forwardChanging UnitsA certain quantity has a yearly decay factor of 0.99.What is its century decay factor?arrow_forwardCarbon Dating The ratio of carbon-14 to carbon-12 in a piece of wood discovered in a cave is R=1/814. Estimate the age of the piece of wood.arrow_forward
- Is carbon dating? Why does it work? Give an example in which carbon dating would be useful.arrow_forwardChanging Units A certain quantity has a yearly growth factor of 1.17.What is its decade growth factor?arrow_forwardDepreciation 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.arrow_forward
- U.S. Population The U.S. Constitution requires a census every 10 years. The census data for 17902010 are given in the table. a Make a scatter plot of the data. b Use a calculator to find an exponential model for the data. c Use your model to predict the population at the 2020 census. d Use your model to estimate the population in 1965. Year Population in millions Year Population in millions Year Population in millions 1790 1800 1810 1820 1830 1840 1850 1860 3.9 5.3 7.2 9.6 12.9 17.1 23.2 31.4 1870 1880 1890 1900 1910 1920 1930 1940 38.6 50.2 63.0 76.2 92.2 106.0 123.2 132.2 1950 1960 1970 1980 1990 2000 2010 151.3 179.3 203.3 226.5 248.7 281.4 308.7arrow_forwardIn Exercises 79-82, use the following information. The relationship between the number of decibels and the intensity of a sound I (in watts per square meter) is =10logI1012. Find the difference in loudness between an average office with an intensity of 1.26107 watt per square meter and a broadcast studio with an intensity of 3.161010 10 watt per square meter.arrow_forwardBacteria Growth The number of bacteria in a culture is increasing according to the law of exponential growth. After 3 hours there are 100 bacteria, and after 5 hours there are 400 bacteria. How many bacteria will there be after 6 hours?arrow_forward
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