The general form of a linear equation is
y = mx + b
where m = slope and b = y-intercept
Here m = 2/7
To get to its perpendicular equation, first the slope should be negative reciprocal. So the perpendicular slope is m = -7/2
Given the point (-2,3), use the point-slope form equation, that is
y - y1 = m(x - x1)
Plug in
y - 3 = (-7/2)[x - (-2)]
y - 3 = (-7/2)x - 7
y = (-7/2)x - 7 + 3
y = (-7/2)x - 4
That is the equation required.
P= 2500
r= 0.0465
A= P. e^(rt)
Where:
A = final mount
P = principal investment
r= rate
T= time (years)
To double it:
2 x 2500 = 2500 e^(0.0465 x t)
(2 x2500)/2500= e^(0.0465 x t)
2= e^(0.0465 x t)
Ln 2 = Ln e^(0.0465 x t)
Ln2 =0.0465t (Ln e)
Ln2 = 0.0465 t
t = Ln2 /0.0465
t= 14.91 years
Triple:
3 x2500 = 2500 e^(0.0465 t)
(3 x 2500 ) /2500 = e^(0.0465 t)
3 = e^(0.0465 t)
ln3 = ln e^(0.0465 t)
ln3 = 0.0465t Lne
ln3= 0.0465t
ln3/0.0465 =t
t= 23.63 y
Answer:
Step-by-step explanation:
Answer:
A. Similar; congruent angles
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
8/100 x 4
=
32/400