Carol uses this graduated tax schedule to determine how much income tax she owes.

if taxable income is over. But not over

The tax is:

50

57 825 10% of the amount over 50

57 825

$31.850 5782 50 plus 15% of the amount over 7825

$31.850

564 250 54 386 25 plus 25% of the amount over 31.850

564 250

$97.925

$12.486 25 plus 28% of the amount over

64.250

597.925

$174 850

$21.915 25 plus 33% of the amount over

97 925

5174850

no limit

547 300.50 plus 35% of the amount over

174 850

If Carol's taxable income is $89,786, how much income tax does she owe, to the nearest dollar?

a $25,140

b. $12,654

c. $19,636

d. 27 626

Find the slope of the line that contains the following points. r(-2, 4), s(6, -2)

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.

Quadrilateral abcd is a parallelogram with diagonals that intersect at point e. which of the following statements is true?