Reminder = f ( 6 )
Thus :
Thus ;
Solve this system of equations plz help
2 answers:
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Answer:
You have to invest $6,250
Step-by-step explanation:
very simple applying the simple interest formula which is
Given data
A, final amount = $10,000
P, initial principal balance= ?
r, annual interest rate = 7.5%
t, time (in years)= 8 years
we can substitute our given data to find the principal needed.
Divide both sides by 1.6 we have
P= $6,250
Answer:
Step-by-step explanation:
(a) Radius of circle
The radius r of the circle is AB.
The coordinates of its ends are (5, 10) and (-3, 6).
x = x₂ - x₁ = 5- (-3) = 5 + 3 = 8
y = y₂ - y₁ = 10 - 6 = 4
We can use the Pythagorean theorem to calculate its length.
r² = 8² + 4² = 64 + 16 = 80
r = √80 = 4√5
(b) Slope of line l
Slope of AB = 4/8 = ½
Line l⟂AB, so its slope is the negative reciprocal of the slope of AB .
m = -1/½ = -2
The radius of the circle is and the slope of line l is
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