Start with hours worked 6 x $9 = 54
Then commission $700 x 0.12 (12% converted to a decimal) = $84
Add up 54 + 84 = $138 total income
So answers are A, the first C (you make $84 in commission), and the last one, you make $138 in total.
First, we need to add up all the percentages to make sure we have 100%.
25.5% + 0.03% = 25.53%
This means that 74.47% of the students chose something other than basketball or soccer.
The amount of students you stated there were was 2553.
25.5% of 2553 is 651 students and
0.03% is 8 students.
Now, we divide 651 by 8 to determine the amount of times over basketball was chosen.
651 ÷ 8 = 81
Basketball was chosen 81 times over again compared to soccer.
To find how much more times basketball was chosen, subtract 8 from 651
651 - 8 = 643
Basketball was chosen 643 times more than soccer.
The length of the line joining the center of the circle and each coordinate is equal.
Let the center of the circle be (a, b), then
(a - 10)^2 + (b - 3)^2 = (a - 3)^2 + (b - 10)^2 = (a + 4)^2 + (b - 3)^2
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 - 6a + 9 + b^2 - 20b + 100 = a^2 + 8a + 16 + b^2 - 6b + 9
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 - 6a + 9 + b^2 - 20b + 100 . . . (1)
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 + 8a + 16 + b^2 - 6b + 9 . . . (2)
From (1): 14a - 14b = 0 => a = b
From (2): 28a = 84 => a = 84/28 = 3
Therefore, center = (a, b) = (3, 3)