Question 1195957
Hi please assist me with this question

Radioactive carbon-14 is used to determine the age of artifacts because it concentrates in the 
organism only when they are alive. It has a half-life of 5730 years. In 1947, Dead Sea Scroll 
were found by one of the South Africa Universities professor. Analysis indicate that scroll
wrapping contain s 76% of their original carbon -14. Estimate the age of the Dead Sea Scroll.
[10 marks]
<pre>If ½ life is “a” time-periods, then k, or DECAY CONSTANT = {{{matrix(1,3, ln(1/2)/a, or, ln(.5)/a)}}} 

                                          We then get: {{{matrix(1,8, k, "=", ln(1/2)/"5,730", "=", -.000120968, "=", - .000121, (matrix(1,5, rounded, to, 6, decimal, places)))}}}

                     Continuous Growth/Decay formula: {{{matrix(2,3, A, "=", A[o]e^(kt), A/A[o], "=",  e^(kt))}}}
                                                     {{{matrix(1,3, .76, "=", e^(-.000121t))}}} ------ Substituting .76 for {{{A/A[o]}}}, and -.000121 for k
                                              {{{matrix(1,3, -.000121t, "=", ln (.76))}}} ------ Converting to NATURAL LOGARITHMIC (ln) form 
            
              Estimated age of the Dead Sea Scroll, or {{{highlight_green(matrix(1,9, t, "=", ln(.76)/-.000121, "=", "2,268.073105,", or, highlight("2,270"), (matrix(1,4, to, the, nearest, 10s)), years))}}}</pre>