For logarithmic equations,
log
b
(
x
)
=
y
logb(x)=y
is equivalent to b
y
=
x
by=x
such that x
>
0
x>0
, b
>
0
b>0
, and b
≠
1
b≠1
.In this case, b
=
5
b=5
, x
=
25
x=25
, and y
2
y=2
.
b
=
5
b=5
x
=
25
x=25
y
=
2
y=2
Substitute the values of b
b
, x
x
, and y
y
into the equation
b
y
=
x
by=x
.
5 squared
=
25
5squared=25
Lines k and n are perpendicular
The slope of line k is -6
Fact: The product of slopes of two perpendicular lines = -1
So the slope of line n = -1 ÷ -6 = 1/6
The correct choice is 'D.'
Answer:
4ft
Step-by-step explanation:
500=pir^2h
r^2=500/(10*pi)
r=3.989ft
The answer is C) 14 years.
Plug it in to check:
12500(1+0.0525)^14
12500(2.05) = 25,587.01 (rounded to 25000)
