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1 answer:
The equation of the perpendicular bisector of BC with B(-2, 1), and C(4, 2) is y = 7.6 - 6•x
<h3>Which method can be used to find the equation of the perpendicular bisector?</h3>The slope, <em>m</em>, of the line BC is calculated as follows;
- m = (2 - 1)/(4 - (-2)) = 1/6
The slope of the perpendicular line to BC is -1/(1/6) = -6
The midpoint of the line BC is found as follows;
The perpendicular bisector is the perpendicular line constructed from the midpoint of BC.
The equation of the perpendicular bisector in point and slope form is therefore;
(y - 1.5) = -6•(x - 1)
y - 1.6 = -6•x + 6
y = -6•x + 6 + 1.6 = 7.6 - 6•x
Which gives;
- y = 7.6 - 6•x
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The required equation is y = 10000(1.0.25)^2x. The value of Christina’s investment after 20 years is $30,773.14
Compound interest
The interest accrued on a sum of money is known as interest. The formula for calculating the compound interest is expressed as:
y = y0(1+r/n)^nx
where
x is the time taken
r is the rate in decimal
n is the compounding time
Given the following
x = 20 years
n 2(semi annually)
r = 5.7% = 0.057
Substitute
y = 10000(1+0.057/2)^2(20)
y = 10,000(1 + 0.0285)^40
y = 10000(1.0285)^40
y = 30,773.14
Hence the value of Christina’s investment after 20 years is $30,773.14
Learn more on compound interest here: brainly.com/question/24924853
