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Mathematical Modeling A funnel is filled with water to a height of
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College Algebra
- Buying Power The inflation rate tells us the percentage increase in prices. As inflation increases, the buying power of a dollar decreases. The percentage decrease in buying power D is related to inflation, I, expresses as a percentage, by the formula D=100I100+I a. Make at table of values that shows the percentage decrease in buying power for inflation rates in whole numbers from 1 through 10. b. What is the lowest whole number inflation rate that results in at least a 5 reduction in buying power?arrow_forwardForensics At 8:30 A.M., a coroner went to the home of a person who had died during the night. In order to estimate the time of death, the coroner took the person’s temperature twice. At 9:00 A.M. the temperature was 85.7F, and at 11:00 A.M. the temperature was 82.8F. From these two temperatures, the coroner was able to determine that the time elapsed since death and the body temperature were related by the formula t=10lnT7098.670 where t is the time in hours elapsed since the person died and T is the temperature (in degrees Fahrenheit) of the person’s body. (This formula comes from a general cooling principle called Newton’s Law of Cooling. It uses the assumptions that the person had a normal body temperature of 98.6F at death and that the room temperature was a constant 70F.) Use the formula to estimate the time of death of the person.arrow_forwardTEST YOUR UNDERSTANDING In the situation of the example, if the structure is 90feet tall, how long does it take for the rock to hit the ground?arrow_forward
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