Answer:
t=18 years
Step-by-step explanation:
A year has two semesters, then
n = 2v(t)=p(1+r/2)2t
3875.79 = 1900∗(1+(0.04/2))^2t
2.0398895 = (1+0.042)^2t
Apply natural logarithm on both sides
ln(2.0398895) = ln[(1+0.042)^2t]
Then simplify,
0.712896 = 2t∗ln(1.02)
t = 0.712896 / (2∗ln(1.02))
t=18 years
Answer: (C) 4
<u>Step-by-step explanation:</u>
The corresponding sides of a 30°-60°-90° triangle are: b - b√3 - 2b
The side corresponding to 90° is 8 = 2b --> b = 4
The side corresponding to 30° is y = b <em>as stated above, b = 4</em>, so y = 4
Hmm,
the absolute value makes whaterver inside positive
so
find whre the abslte value is 0
1.6x-2=0
1.6x=2
x=2/1.6
x=1.25
as x approaches 1.25, the function decreases
so from left to right
from the left to right, from -ifninty to 1.25, it is decreasing
from 1.25 to infinity, it is increasing
so it is increasing in the interval (1.25,∞)
THEOREM:
- Angle sum property —: The sum of interior angles of a triangle is 180°.
ANSWER:
<u>By angle sum property</u>,
∠U + ∠V + ∠W = 180°
- 3x - 9° + 30° + 24° = 180°
- 3x + 45° = 180°
- 3x = 180° – 45°
- 3x = 135°
- x = 135/3
- x = 45°
So, <u>Correct choice</u> - [C] 45°.