Answer:
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
8 / 1/3
8 x 3 = 24
Answer:
75
Step-by-step explanation:
This exponential growth/decay (in this case decay because r<1) of the form:
f=ir^t, f=final value, i=initial value, r=common ratio or "rate", t=time.
Since the population decreases by 4.5% each year the common ratio is:
r=(100-4.5)/100=0.955 so we can say
P(t)=8500(0.955^t)
....
7000=8500(0.955^t)
14/17=(955/1000)^t taking the natural log of both sides
ln(14/17)=t ln(955/1000)
t=ln(14/17)/ln(955/1000)
t≈4.22 years (to nearest hundredth of a year)
Since t is the years since 2010, the population will fall to 7000 in the year (2010+4.22=2014.22, more than four years will have elapsed) 2015.
Answer:
SAS Similarity Theorem
Step-by-step explanation:
we know that
<u>SAS Similarity Theorem</u>: States that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
In this problem
∠HJZ=∠RJW ----> by vertical angles
and
WJ/HJ=JR/JZ
substitute the values
8/4=6/3
2=2 ----> is true
so
Two sides of triangle HJZ are proportional with the two corresponding sides of triangle WJR and the included angle is congruent
therefore
Triangles are similar by SAS Similarity Theorem
