Eugenia Scolt&1 4/2/18 6:40A Homework: Module 6 Homework (unlimited attempts) Sc

Question

Eugenia Scolt&1 4/2/18 6:40A Homework: Module 6 Homework (unlimited attempts) Score: 0 of 1pt 19 of 25 (12 complete) HW Score: 34%, 8.5 of 25 7.2.32 Question Help A certain element has a half life of 4.5 billion years a. You find a rock containing a mixture of the element and lead You determine that 65% of the original element remains, the other 35% decayed into lead How old is the rock? b. Analysis of another rock shows that it contains 35% of its original element, the other 65% decayed into lead How old is the rock? a The rock is approximatelybillion years old Round to one decimal place as needed)

Explanation / Answer

2)
a)
10^4 * 10^6 = 10^(3+4) = 10^7 = 10000000000

b)
10^9 * 10^-7 = 10^(9-7) = 10^2 = 100

c)
10^6/10^3 = 10^(6-3) = 10^3 = 1000

d)
10^8/10^-2 = 106(8-(-2) = 10^10 = 10000000000

3)
p = 25000 , n =4 , t =31,r = 0.041

A = p(1+r/n)^nt
= 25000(1 +(0.041/4))^4*31
= 88535.7231
The amount after 31 years will be 88535.7231

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