To calculate problems abound about compounding interest use the equation <span>A = P (1 + r/n)^<span>(nt), where A is the future price, P is the principal amount, r is the interest rate, n is the number of times the interest is compounded per year and t for the total years. To solve, A = 100 (1 + 0.08/1)^(1 x 15) = 317.22.</span></span>
Ending Amount = Beginning Amount / 2^n
where 'n' = # of half lives
n = 20,000 / 1,600 = 12.5 half-lives
Ending Amount = 1 kg / 2^12.5
Ending Amount = 1 kg /
<span>
<span>
<span>
5,792.6
</span></span></span>Ending Amount =
<span>
<span>
<span>
0.00017263 kilograms = </span></span></span><span>0.17263 grams
</span>
Answer:

Step-by-step explanation:
Given: 
We have to find the value of 
Since Given 
Using trigonometric identity,

Thus, for
comparing , we have,

We get,

Thus, 
9.5000032 is one such number
The factors of 117 are: 1, 3, 9, 13, 39, and 117
The factors of 99 are: 1, 3, 9, 11, 33, and 99
The factors of 126 are: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126
The greatest common factors of 117, 99, and 126 are: 1, 3, and 9. And according to your answer choices your answer is C. 9