Question

Carbon 14 (C-14), a radioactive isotope of carbon, has a half-life of 5730 ± 40 years. Measuring the amount of this isotope left in the remains of animals and plants is how anthropologists determine the age of samples. Example: The skeletal remains of the so-called Pittsburgh Man, unearthed in Pennsylvania, had lost 82% of the C-14 they originally contained. Determine the approximate age of the bones assuming a half-life of 5730.

(a) 14,000 years

(b) 15,000 years

(c) 17,000 years

(d) 16,000 years

(e) 18,000 years

A stock analyst tracks three companies with stock prices f(t) = 40 + t + t 2 − t 3/10, g(t) = 7 + t − t 2 + t 3/5, and h(t) = 15 + t − t 2/2 + t 3/10 − t 4/200, t months into the year. A monthly buy recommendation is due at the end of August, so t = 8. The analyst believes in ‘momentum investing’ and looks for companies with stock prices that are concave upwards at the time of the recommendation. Which company is recommended?

(a) Neither of the three tracked companies.

(b) All three of the tracked companies.

(c) The company with stock price g(t).

(d) The company with stock price h(t).

(e) The company with stock price f(t).

Answer 1

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