Answer: I believe it is 2
slope=y2-y1/x2-x1
y2-y1= (0,-3)
x2-x1= (4,5)
m=5-(-3)/4-0
m=2
Step-by-step explanation:
3 tan 2x - 4 tan 3x = tan² 3x * tan 2x
3 (tan 2x - tan 3x) = tan 3x + tan² 3x * tan 2x
= tan 3x (1 + tan 3x * tan 2x)
3 (tan 2x - tan 3x)/(1 + tan 3x * tan 2x) = tan 3x
3 * (- tan x) = tan 3x
-3tanx = (3 tan x - tan³ x) / (1 - 3 tan² x)
3 - tan² x = - 3 + 9 tan² x
tan x = + √3 /√5 or - √3/√5
Even # --------- if it ends with 0, # of ways = 6*5*4 = 120 if not, 3 ways for ending digit, 5 ways for 1st digit, 5*4 for middle digits = 300
so total ways = 420
odd # --------- 4 ways of ending digit, 5 ways for 1st digit, 5*4 for middle digits = 400 ways
< 4000: ---------- 3 ways for starting digit, 6*5*4 ways for remaining digits = 360 ways
> 3000 & < 4000 ------------------------ 1 way for starting digit , 6*5*4 for remaining digits = 120 ways
Point III is about <em>real interest rate</em>
point I doesn't apply since both nominal and effective ir are calculated by year
let alone the fact that if you look close to those numbers it would probably mean that the loan had 1year and 1 day duration :)
the II answer is the correct one
if the loan is compounded at 6 months you have to add the interest of the first 6 months interest to the total interest to find out the effective interest rate