Answer:
ghs 20,000
Step-by-step explanation:
If Boadu and ansah formed a company and agreed that their annual profit will be shared in the ratio of 4:5 respectively, the total ratio will be 4 + 5 = 9
Let Boadu share be x
Let ansah share be y
If at the end of the year ansah received ghs5,000 more than Boadu, then;
y = 5000 + x
Boadu share = 4/9 * (x+y)
x+y is the total amount shared
x = 4/9 * (x+y)
Substitute y = 5000 + x
9x = 4(x+y)
9x = 4x + 4y
9x - 4x = 4y
5x = 4y
5x = 4(5000+x)
5x = 20,000 + 4x
5x-4x = 20,000
x = 20,000
Hence Boadu share is ghs 20,000
Answer:
- The coordinates of the point p are:
Explanation:
1. Name the angle of inclination of the line joining p to the origin α.
2. Find the relation between the coordinates of the point (x,y)
When you draw a line from the origin to the parabola, the intersection point, p(x,y) will have coordinates (x,y).
As per the definition of the tangent trigonometric ratio you have:
From which you can clear y:
Which is the expression of the coordinates of p as a function of the angle of inclination of the line joining p to the origin.
Apply to Row 2 : Row 2 + Row 1
2x + 2y + 3z = 0
y + 4z = -3
2x + 3y + 3z = 5
Apply to Row 3: Row 3 - Row 1
2x + 2y + 3z = 0
y + 4z = -3
y = 5
Apply to Row 3: Row 3 - Row 2
2x + 2y + 3z = 0
y + 4z = -3
-4z = 8
Simplify rows
2x + 2y + 3z = 0
y + 4z = -3
z = -2
<em>Note that the matrix is in echelon form now. The next steps are for back substitution.</em>
Apply to Row 2: Row 2 - 4 Row 3
2x + 2y + 3z = 0
y = 5
z = -2
Apply to Row 1: Row 1 - 3 Row 3
2x + 2y = 6
y = 5
z = -2
Apply to Row 1: Row 1 - 2 Row 2
2x = -4
y = 5
z = 2
Simplify the rows
<u>x = -2</u>
<u>y = 5</u>
<u>z = -2</u>
Answer:
N + 434000
Step-by-step explanation:
N + N - 35000 = 833000
(add 35000 to both sides)
N + N = 868000
(N + N is equivalent to 2N)
2N = 868000
(divide both sides by 2)
N = 434000
