Concept explainers
Reminder Round all answers to two decimal places unless otherwise indicated.
Gross Tonnage The gross tonnage
In this exercise, round your answers to the nearest whole number.
a. Find the gross tonnage of a ship with a volume of
b. Use the crossing-graphs method to find the volume of a ship with a gross tonnage of
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Chapter 4 Solutions
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
- Richter Scale The Richter scale provides a measure of the magnitude of an earthquake. In fact, the largest Richter number M ever recorded for an earthquake was 8.9 from the 1933 earthquake in Japan. The following formula shows a relationship between the amount of energy released and the Richter number. M=23logE0.007, Where E is measured in kilowatt-hours. Source: Mathematics Teacher. a. For the 1933 earthquake in Japan, what value of E gives a Richter number M=8.9?. b. If the average household uses 247 kWh per month, how many months would the energy released by an earthquake of this magnitude power 10 million household? c. Find the rate of change of the Richter number M with respect to energy when E=70,000 kWh. d. What happens to dM/dE as E increases?arrow_forwardStock Turnover at Retail In retail sales, an important marker of retail activity is the stock turnover at retail. This figure is calculated for a specific period of time as the total net sales divided by the retail value of the average stock during that time, where both are measured in dollars. As a formula, this is written Stockturnover=NetsalesAveragestockatretail. This formula expresses stock turnover as a function of net sales and average stock at retail. a. Suppose that your store had net sales of 682, 000 in mens shoes over the past six months and that the retail value of the average stock of mens shoes was 163, 000. What was the stock turnover at retail for that time period? b. Suppose that in a certain month, your stores net sales of womens dresses were 83, 000 and that the usual stock turnover at retail is 0.8 per month. What do you estimate to be your stores average stock at retail? c. Solve the equation for average stock at retail- that is, write a formula giving average stock at retail as a function of stock turnover and net sales. d. Suppose that in a certain time period, your store had an average stock of socks with a retail value of 45, 000 and a stock turnover at retail of 1.6. What were the stores net sales of socks during that time period? e. Solve the equation for net sales- that is, write a formula giving net sales as a function of stock turnover and average stock at retail.arrow_forwardFor a nonsmoker, the biological half-life of theophylline is 8 hours. Find the amount of the drug retained in a nonsmoker's system 14 hours after taking a one-unit dose. (Round your answer to three decimal places.) unitsarrow_forward
- The volume V, in liters, of air in the lungs during a one-second respiratory cycle is approximated by the model V = 0.1729t + 0.1522t² - 0.0374t³, t is the time in seconds. Approximate the average volume of air in the lungs during one cycle. (Round your answer to four decimal places.) L Need Help? Read Itarrow_forwardA healing law for skin wounds states that A= Aoe-0.1t where A is the number of of unhealed skin after t days when the original area of the wound was Ao. How many days would it take for a 1.6 cm ² sized wound to become 0.72 cm ² sized wound? Round to the nearest day Answer e daysarrow_forward00 R LO The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the triangle is increasing at a rate of 3.5 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 7 centimeters and the area is 87 square centimeters? cm/min Question Help: Video Submit Question Jump to Answer MacBook Pro 000 000 4. H.arrow_forward
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