Answer:
<em>y=-6</em>
Step-by-step explanation:
<em>Geometric Sequences</em>
Any given sequence is said to be geometric if each term 
can be obtained as the previous term 
by a constant value called the common ratio.
or equivalently
Looking closely at the sequence 2, y, 18,-54, 162 we can try to find out if it's a geometric sequence or not. We compute the possible common ratios
and we see they both result -3. If we use r=-3 and try to find the second term (y), then
y=2*(-3)=-6
Now we compute the third term: (-6)(-3)=18
Since we got the third term as given in the original sequence.
So y=-6
Answer:
true
Step-by-step explanation:
Answer: 8.5 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form) =18/100 = 0.18
t= years
A = population after t years
Replacing with the values given:
192,000 = 47,000 (1+ 0.18)^t
Solving for t:
192,000/47,000 = 1.18^t
4.08 =1.18^t
ln 4.08 = ln 1.18^t
ln 4.08 =t (ln 1.18)
ln 4.08 / ln 1.18 =t
8.5 years = t
Feel free to ask for more if needed or if you did not understand something.
This question is actually a lot simpler than it seems
for a quarter think about money - a quarter is 25 cents or 1/4 of a dollar - so 1 and a quarter yard in decimal form is equivalent to 1.25
now you need to find how many 1 and a quarter yards are in 3 yards - to do this you simply divide 3 by 1.25
3/1.25 = 2.4
so julie can cut 2.4 1 and a quarter long pieces from the string
if you have any questions about how i answered this question please let me know:)
Answer: -10/9
Step-by-step explanation: is this what you were looking for
