Question

1)An anthropologist finds bone that her instruments measure it as 0.105% of the amount of Carbon-14 the bones would have contained
when the person was alive. How long ago did the person die? The half life of carbon 14 is 5,730 years. Round your answer to the nearest thousand.

2)
A radio active isotope decays according to the exponential decay equation where t is in days. Round to the thousandths place.
For the half life: The half life is the solution (t) of the equation : a/2=ae^−3.524t

3)The Mendes family bought a new house 5 years ago for $100,000. The house is now wor

Answer 1

solve \[\huge \left(\frac{1}{2}\right)^{\frac{t}{5700}}=0.105\]

Answer 2

do you want me to solve for T

Answer 3

yeah i made a typo, but you can fix it i am sure

Answer 4

\[\huge \left(\frac{1}{2}\right)^{\frac{t}{5730}}=0.105\]

Answer 5

would it be 6?

Answer 6

i really doubt it

Answer 7

first step it change of base formula \[\frac{t}{5730}=\frac{\ln(.105)}{\ln(\frac{1}{2})}\]

Answer 8

when I put that into my calculator I get 3.251538767

Answer 9

so then \[t=5730\times \frac{\ln(.105)}{\ln(.5)}\]

Answer 10

18631.31713

Answer 11

yeah round a bit maybe

Answer 12

to what palce

Answer 13

idk does it say?

Answer 14

nearest thousand so 18,631

Answer 15

18631.31713
to the nearest thousand is 1900
to the nearest thousandth is 1863.317

Answer 16

Satellite I need help pls