Answer:
R290.1
Step-by-step explanation:
Let
x = charge before he put his prices up
New charge = R320
Percentage increase in price = 7%
x + 7% of x = 320
x + 0.07 * x = 320
x + 0.07x = 320
1.07x = 320
x = 320/1.07
x = 299.06542056074
Approximately
x = R290.1
Charge before he put his prices up = R290.1
Answer:
a) y =2/3 x + 7.
b) x = -1
c) y = -4/5 x - 1/5
d) y = -3/2 x + 5/2.
Step-by-step explanation:
a) Intercept form y = mx + b where m = 2/3 and b = 7
b) y can take any value but x is always -1.
c) Slope m = (-1-3)/ (1 - -4)
= -4/5
Using point-slope form where m = -4/5 and x1 y1 = 1 , -1:
y - y1 = m(x - x1)
y - -1 = -4/5(x - 1)
y + 1 = -4/5x + 4/5
y = -4/5 x - 1/5
d) The slope m of the line perpendicular to this line is:
-1 / 2/3
m = -3/2.
When x = -1 , y = 4 so using the slope intercept form of a line
y = mx + b
4 = -3/2 * -1 + b where b = the y-intercept.
4 = 3/2 + b
b = 4 - 3/2 = 5/2.
The equation is y = -3/2 x + 5/2.
First find the side lengths of the box by factoring each area:
12: 1, 2, 3, 4, 6, 12
15: 1, 3, 5, 15
20: 1, 2, 4, 5, 10, 20
Find 3 numbers that both have 2 sides have in common and can multiply to make the areas of the faces:
12: 3 * 4
15: 3 * 5
20: 4 * 5
Sides: 3, 4, and 5
Then multiply to get the volume:
3 * 4 * 5 = 60 units^2
