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The equation for the line passing through point A and perpendicular to AB will be y-0.5x=6, the gradient of line AB is -2, and the gradient of a line perpendicular to AB is 0.5.
<h3 /><h3>What is the slope or gradient?</h3>A numerical assessment of a line's angle relative to the ground is known as the slope.
Given data;
m₁ is the slope of line AB
m₂ is the slope of a line perpendicular to AB
The coordinate points are,
A,(x₁,y₁)= (0, 6)
B,(x₂,y₂)=(3, 0).
The gradient of line AB;
The slope of the lines has a perpendicular relation is -1;
m₁ × m₂ = -1
(-2) × m₂ = -1
m₂ = 1/2
m₂ = 0.5
The equation of the line passing through point A and perpendicular to AB;
(y - y₁) = m₂(x-x₁)
(y-6)=0.5(x-0)
y-6 = 0.5 x
y-0.5x=6
Hence, the gradient of line AB, the gradient of a line perpendicular to AB, and the equation of the line passing through point A and perpendicular to AB will be -2,0.5 and y-0.5x=6.
To learn more about the slope, refer to the link;
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The formula for compound interest is written as 
, where <em>P </em>is the principal (initial amount), <em>r</em> is the rate of interest, <em>n</em> is the number of times it's compounded per year, and <em>t</em> is the time in years. With the values from this problem plugged in, it looks like:
Since you're trying to find when your money will double, put 8000 for <em>A </em>and solve for <em>t</em><em /> :
It will take approximately 14.21 years, or about 14 years, 2 months, and 16 days, for the money to double.
Since you're trying to find when your money will double, put 8000 for <em>A </em>and solve for <em>t</em><em /> :
It will take approximately 14.21 years, or about 14 years, 2 months, and 16 days, for the money to double.