Answer:
26.12
Step-by-step explanation:
The original price plus the markup equals the new price
The markup is equal to the original price times 25%
original price + original price * 25% = new price
Factor out the original price
original price (1+25%) = new price
Changing to decimal form
original price (1+.25) = new price
original price (1.25) = new price
Divide each side by 1.25
original price (1.25)/1.25 = new price/1.25
original price = new price/1.25
The new price is 32.65
original price = 32.65/1.25
original price =26.12
This constant of proportionality is equal to the slope of the line
If we asume each rectangle side is equal to a unit, then
Point 1 (0,3)
Point 2 (5,-1)
m = (y2 - y1) / (x2-x1)
m = (-1 - 3) / (5-0)
m = (-4) / (5) = -4/5 = k
Given that μ=0, and σ=1, P(z>c)=0.1093
thus
P(z<c)=1-0.1093=0.8907
hence the value of c will be:
z-score=(c-μ)/σ
thus
1.23=(c-0)/1
c=1.23
