Answer:
JK = 10.524
LK = 21.065
Step-by-step explanation:
all angles in a triangle add up to 180, so angle K = 42.
law of sines states that , where capital letters are side lengths and lower case letters are the angles opposite their corresponding capital letter sides.
in this case:
-----> JK =
= 10.524
and
-----> LK =
= 21.065
Answer: C) 133
Step-by-step explanation:
The formula to find the sample size is given by :-
, where z* = Critical z-value
= Population standard deviation for prior study.
E= Margin of error.
As per given , we have
E= 5
The critical z-value for 90% confidence level is 1.645.
Substitute al;l the value sin the above formula , we get
Hence, the minimum sample size needed is 133.
Thus , the correct answer is : C) 133
Answer: Choice A) There must be a vertical asymptote at x = c
Explanation:
The first limit says that as x approaches c from the left side, the f(x) or y values approach negative infinity. So the graph goes down forever as x approaches this c value from the left side.
The limit means that as x approaches c from the right side, the y values head off to positive infinity.
Either of these facts are enough to conclude that we have a vertical asymptote at x = c. We can think of it like an electric fence in which we can get closer to, but not actually touch it.
Let f(x) = y.
y = 4x - 12
Let x = 0
y = 4(0) - 12
y = - 12
This leads to the point (0, -12).
Let y = 0.
0 = 4x - 12
1 2 = 4x
12/4 = x
3 = x
This leads to the point (3, 0).
We now graph both points and then connect each point with a straight line.
Current value of the boat = $45000
Rate at which the value decrease = 8.5%
Value decreased after 1 year =
Hence, value becomes =
Value decreased after 2nd year =
Hence, value becomes =
Value decreased after 3 year =
Hence, value becomes =
So, value of the boat after 3 years becomes $34472.74