College c ufacultyttradlerprecalculustradlercarleypdf So af

College c × u/faculty/ttradler/precalculus-tradler-carley.pdf So, after approximately 21.69 years, the investment will have doubled in value. 16.3 Exercises Exercise 16.1. An unstable element decays at a rate of 5.9% per minute 40mg of this element has been produced, then how long will it take until 2mg nt are left? Round your answer to the nearest thousandth. Exercise 16.2. A substance decays radioactively with a half-life of 232.5 days. How much of 6.8 grams of this substance is left after 1 year? Exercise 16.3. Fermium-252 decays in 10 minutes to 76.1% of its original mass. Find the half-life of fermium-252. Exercise 16.4. How long do you have to wait until 15mg of beryllium-7 have decayed to 4mg, if the half-life of beryllium-7 is 53.12 days? Exercise 16.5. If Pharaoh Ramses Il died in the year 1213 BC, then what percent of the carbon-14 was left in the mummy of Ramses Il in the year

Solution

16.1.

P(t)=P₀(1-r)^tt=49.262 mins

2=40(1-0.059)^t

1/20=(0.941)^t

0.05=(0.941)^t

log0.05=t log0.941