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I need assistance with number 9, please.
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- With what kind of exponential model would half-life be associated? What role does half-life play in these models?With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?Given a formula for an exponential function, is itpossible to determine whether the function grows ordecays exponentiallyjust by looking at the formula?Explain.
- In 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 a vacuum cleaner with an intensity of 104 watt per square meter and rustling leaves with an intensity of 1011 watt per square meter.A bank offered .05% interest on checking accounts reinvested monthly. A- Find the associated exponential model of a $5000 deposit after t years. B- How much would the deposit be worth after 30 months?2. The number of Android smartphone users has grown exponentially since it was first introduced to the market in 2007. The number of Android users in the world in was approximately .092 billion (92 million) in 2010 and .5 billion in 2012. a) According to this data, what was the approximate number of users ?(?), ? years after 2010? b) When would the number of Android users have reached 2 billion?
- Researchers find that there are 70 Raccoons on an island. When they return a year later, they find that there are 84. Assuming an exponential growth pattern, what is the annual population growth factor for the raccoons?A bank offered .04% interest on checking accounts reinvested weekly. a-) Find the associated exponential model of a $10,000 deposit after t years. b-) How much would the deposit be worth after 4 1/2 years?Use the exponential decay model for carbon-14, A = A0e-0.000121t, to solve, Skeletons were found at a construction site in San Francisco in 1989. The skeletons contained 88% of the expected amount of carbon-14 found in a living person. In 1989, how old were the skeletons?
- A study done in 1994, of Maryland's portion of Chesapeake Bay found the following information about stocks of market-sized oysters. The stock population was 218 million, the stock will not exceed 5089 million oysters, and the intrinsic exponential growth rate is 0.274 per year.Suppose that poaching reduces the population of an endangered animal by 2% per year. Further suppose that when the population of this animal falls below 60, its extinction is inevitable (owing to the lack of reproductive options without severe in-breeding). If the current population of the animal is 1400, when will it face extinction? Comment on the validity of this exponential model. It will take about nothing years for the animal to face extinction. (Do not round until the final answer. Then round to the nearest whole number as needed.) Comment on the validity of this exponential model. The model is ▼ valid not valid because the initial population is ▼ very high not very high and at this rate of decaying, the number of years predicted by the model is ▼ reasonable not reasonable for the population to face extinction due to the lack of reproductive options.Radiocarbon dating is effective on specimens up to 40,000 years old. In 1951, a nuclear chemist was trying to determine the age of some scrolls that were recently found. Carbon-14 has a half-life of 5730 years. If he found 79.3 % of the original carbon-14 still present, in about what year were the scrolls made?