LulaBrazilia wrote:If n is a positive integer and k = 5.1*10^n, what is the value of k?
1) 6,000 < k < 500,000
2) k^2 = 2.601 * 10^9
We are given that n is a positive integer and k = 5.1*10^n and need to determine k.
Statement One Alone:
6,000 < k < 500,000
We see that if n = 4, then k = 5.1 x 10^ 4 = 51,000, which is between 6,000 and 500,000, If n = 3, then k = 5.1 x 10^3 = 5,100, which is less than 6,000 and if n = 5, then k = 5.1 x 10^5 = 510,000, which is greater than 500,000. So n must be 4 and k must be 51,000.
Statement one alone is sufficient to answer the question.
Statement Two Alone:
k^2 = 2.601 * 10^9
Since k = 5.1*10^n, and since n is a positive integer, we see that we can take the square root of both sides of the given equation and get a singular value for k. Thus, statement two is sufficient to answer the question.
Answer:
D
