Answer:
5
Step-by-step explanation:
If a population is decreasing by 8% we can multiply the population by 92% (1-.08)
which means we have the following equation
population=15000(.92)ⁿ
where n is the number of years
we want to know when the population will be 10,000 so we write
10,000=15,000(.92)ⁿ
.66667=.92ⁿ
a rule we have is
which means that
compute this and get
4.867
round this up to 5
Question (18):
Answer: (A) All of the following
(I am using in place of conj(z)
Question (19):
Answer: (B) -7
modulus of -7 is sqrt(49)=7
the other choices are all < 7
9514 1404 393
Answer:
(a) (-2, 4)
Step-by-step explanation:
The orthocenter is the point of concurrence of the altitudes of the triangle.
A plot of the triangle vertices shows the triangle to be acute. That means the orthocenter is inside. This eliminates choices B, C, D, which are all points outside the triangle.
__
Conveniently, side LM is horizontal. This means the orthocenter will have the x-coordinate of the vertical line through N, which is -2. Only one answer choice has an x-coordinate of -2:
a (-2, 4)
