Nathan bought 200 shares of stock at $40 per share ($8,000 total). He paid $5,000 in cash and borrowed $3,000 from the brokerage firm. The loan has an annual interest rate of 6 percent. Six months later, the stock’s current price is $38 per share. If Nathan sells now, he will pay a commission of $160 and will have to repay the loan. If he sells now, he will lose $ __?

the answer is 8.64

step-by-step explanation:

your answer is c. 97 (don't delete this again)

step-by-step explanation:

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.

the answer for the question that you are asking is 4