Answer:
see explanation
Step-by-step explanation:
If 2 lines are perpendicular then the product of their slopes equals - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Consider the given equations
3x - 4y = 12 ( subtract 3x from both sides )
- 4y = - 3x + 12 ( divide terms by - 4 )
y = 
x - 3 ← in slope- intercept form
with slope m =
3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )
y = - 
x + 4 ← in slope- intercept form
with slope m = -
Then
× - = - 1
Since the product of their slopes = - 1 then the lines are perpendicular
X+1 because the x intercept is -1
Answer:
9
Step-by-step explanation:
(15×4+3)/4 ÷(4×1+3)/4= 63/4 ÷ 7/4= 9
Maturity risk for 3 year Treasury security is 0.1%
<u>Explanation:</u>
Given -
Rate of 3 year Treasury security, R3 = 7%
Rate of 6 year Treasury security, R6 = 6.2%
Rate of inflation, Ri = 2.25% next year, 2.5% on 2nd year, 2.5% on 3rd year
Real interest rate, Rint = 4.4%
Maturity risk on 3 year Treasury security, x = ?
Maturity risk for 3 year Treasury security:
R3 = Ri on 3rd year + Rint + x
7% = 2.5% + 4.4% + x
x = 0.1%
Therefore, Maturity risk for 3 year Treasury security is 0.1%
3 + 4x - 3x = 4 ( given )
3 + x = 4 ( combine like terms )
subtract 3 from both sides (subtraction property of equality )
x = 4 - 3
x = 1
