Concept explainers
Reminder Round all answers to two decimal places unless otherwise indicated.
Moore’s Law The speed of a computer chip is closely related to the number of transistors on the chip, and the number of transistors on a chip has increased with time in a remarkably consistent way. In fact, in the year
a. If a chip were introduced in the year
b. The limit of conventional computing will be reached when the size of a transistors on a chip will be
c. Even for unconventional computing, the law of physics impose a limit on the speed of computation. The fastest speed possible corresponds to having about
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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
- Running Speed A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runners time at the end of each lap, obtaining the data in the following table. aWhat was the mans average speed rate between 68 s and 152 s? bWhat was the mans average speed between 263 s and 412 s? cCalculate the mans speed for each lap. Is he slowing down, speeding up or neither? Time s Distance m 32 200 68 400 108 600 152 800 203 1000 263 1200 335 1400 412 1600arrow_forwardRunning Speed A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runner’s time at the each of each lap, obtaining the data in the following table. (a) What was the man’s average speed (rate) between 68 s and 152 s? (b) What was the man’s average speed between 263 s and 412 s? (c) Calculate the man’s speed for cadi lap, Is he slowing down, speeding up, or neither?arrow_forwardFuture Value Business and finance texts refer to the value of an investment at a future time as its future value. If an investment of P dollars is compounded yearly at an interest rate of r as a decimal, then the value of the investment after t years is given by FutureValue=P1+rt. In this formula, 1+rt is known as the future value interest factor, so the formula above can be written as FutureValue=PFuturevalueinterestfactor Financial officers normally calculate this or look it up in a table a. What future value interest factor will make an investment double? b. Say you have an investment that is compounded yearly at a rate of 9%. Find the future value interest factor for a 7-year investment. c. Use the results from part b to calculate the 7-year future value if your initial investment is 5000.arrow_forward
- 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.arrow_forwardDefine Newton’s Law of Cooling. Then name at least three real-world situations where Newton’s Law of Cooling would be applied.arrow_forwardWhat situations are best modeled by a logistic equation? Give an example, and state a case for why the example is a good fit.arrow_forward
- Bacterial Growth A culture contains 10,000 bacteria initially. After 1 hour the bacteria count is 25,000. a Find the doubling period. b Find the number of bacteria after 3 hours.arrow_forwardIs carbon dating? Why does it work? Give an example in which carbon dating would be useful.arrow_forwardRichter Scale Exercise S-1 through S-6 use elementary properties of Richter Scale. One earthquake has a Richter scale reading of 5.4. Another is one-thousandth as strong. What is its Richter scale reading?arrow_forward
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