Answer:
$6500
Step-by-step explanation
x = amount ($) loaned at 6%
then
18000-x = amount ($) loaned at 14%
.06x + .14(18000-x) = 2000
.06x + 2520-.14x = 2000
2520-.08x = 2000
-.08x = -520
x = $6,500
Answer:

Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan x =
, sin²x + cos²x = 1
Consider the left side

=
← multiply numerator/ denominator of the whole fraction by cos²x
= 
= 
= cos²x - sin²x
= cos²x - (1 - cos²x)
= cos²x - 1 + cos²x
= 2cos²x - 1
= right side , thus proven
It would be
243 1/2 as a fraction
100
You just put it in the calculator.
18/.18 = 100