Question

Please help not good with word probelms

Answer 1

The answer is 46,000 years.

It can be calculated using the equation:

 $(1/2) ^{n}$ = decimal amount remaining, where n is a number of half-lives.

Decimal amount remaining is 0.00362 (= 0.362%). Let's calculate number of half-lives.

$(1/2)^{n} =0.00362$

⇒ $n*log(1/2)=log(0.00362)$

⇒ $n= \frac{log(0.00362)}{log(1/2)}= \frac{log(0.00362)}{log(0.5)}$

⇒ n ≈ 8

Now we know that number of half-lives is 8.

Number of half-lives is quotient of total time elapsed and length of half-life.
So, total time elapsed is a product of length of half-life (5,730 years) and number of half-lives (8). Since 5,730 years × 8 = 45,840 years, then the person died 46,000 years ago (rounded to the nearest thousand).