Answer:
23.33%
Step-by-step explanation:
The computation of the percentage of days in a month for running out of cash is shown below:
Percentage of running out of Cash is
= (Relevant Occurrence of an event ÷ Total number of events) × 100%
where,
The Relevant occurrence of an event is 7 (105,94,101,98,94,96,92)
And, the total number of events is 30 i.e. 30 days
So, the percentage is
= 7 ÷ 30 × 100
= 23.33%
The answer is 90° degrees.
Answer:
Step-by-step explanation:
6cos^2(x) + 7cos(x) +2 = 0
Call cos(x) = y to change this to something a little bit more familiar.
6y^2 + 7y + 2 =0
This equation is a quadratic. Solve it first. Then we'll go back to solving for cos(x)
This equation factors into 2 possible answers
(3y + 2)(2y + 1) = 0
3y + 2 = 0
3y = - 2
y = - 2/3
2y + 1 = 0
2y = - 1
y = - 1/2
Now let's start with
cos(x) = - 1/2
That means that x is in quadrant two or three.
cos-1(1/2) = 60 degrees.
Quad 2: x = 180 - 60 = 120
Quad 3: x = 180 + 60 = 240
Now cos(x) = - 2/3
cos-1(2/3) = 48.19
Quad 2: x = 180 - 48.19 = 131.81
Quad 3: x = 180 + 48.19 = 228.19
Let the amount that the boys sold be x, the amount that girls sold will be 3x. The total will be given by:
x+3x=180
4x=180
solving for x we get:
x=180/4
x=45
Thus, boys sold $45, the girls provided 45*3=$135
Step One
Find the cost of one bottle
12 bottles cost 9.25 pounds.
1 bottle costs x
12 / 1 = 9.25/x Cross multiply
12*x = 1 * 9.25 Divide by 12
x = 9.25 / 12
x = 0.77
Remark
0.77 pounds sterling = 77 pennies
Step Two
find the profit on the sale of one bottle
100 - 77 = 23 pennies
Step Three
Find the % profit on one bottle.
% Profit = (profit on one bottle / Cost of 1 bottle.) * 100%
% Profit = (23 / 77) * 100
% Profit = 29.87% <<<<<<<< Answer.
