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Last Update: 2016-03-03
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exercise 8 if the population of luxembourg increased by 12000 per year, how many more patents were filed in 2019 than in 2016? patents applications (per million inhabitants) 2017 population 2016 2017 2018 2019 (thousands) sweden france luxembourg 9995 66770 590 410 260 651 425 266 674 435 269 622 446 278 655 finland italy 5503 60590 311 248 315 252 337 273 338 275 a) 41. b) 36. c) 32. d) 28. e) 26. solution: in this sample question, after reading carefully the statement, we can observe that we need to calculate the number of patents in luxembourg in two years, 2016 and 2019. the main issue here is that the number of patents is referred to the population, and we only have the population for 2017, so we will have to previously calculate the population figure for our target years. 59
at this moment, we can already obtain the result that we were looking for, by simply multiplying the gdp by the industrial waste per unit of gdp: 54 400 million eur * 20 tonnes per million eur = 1 088 000 tonnes in this manner, we get that the right answer is option b). myadvice it is convenient to remember, from our school years, that magnitudes and units in which figures are shown can also be operated (multiplied, divided, cleared…) in the same way as we do with their figures. for example, in our exercise, we could express (more precisely) the magnitude of industrial waste as: 20 tonnes/million eur. so in the final arithmetic we would do: 54 400 million eur * 20 tonnes/million eur = 1 088 000 tonnes this way you can see more clearly why the result is expressed in tonnes: we have cleared the million eur (magnitude) in both the numerator of the first item and the denominator of the second item. 54 400 million eur * 20 tonnes/million eur = 1 088 000 tonnes i recommend practising this with magnitudes from your daily life, e.g.: 2 kg * 3 €/kg = 6 €, because kg * €/kg = € 58
Last Update: 2021-03-25
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